From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) 4 pars
Date: 01 Jan 1999 12:58:29 -0500

Happy 1999!

Here're four gallet-8-08 pars, derived from Jim Weaver's posting
yesterday. 
Jim - Good luck getting your new gear up & running..  I also plan to
upgrade
computers this year (If the tax refund materializes as hoped <G>).

Regards, Paul DeCelle



jwpd01             { ; t=0:03:39 (P60)  Paul DeCelle 1/1/99
                     ; frm:gallet-8-08
reset=1960 type=formula formulafile=*.frm
formulaname=gallet-8-08 passes=1
center-mag=-8.88178e-016/1.11022e-014/1.0059/1/90
params=0.13/-0.039/-1.83/0.2 float=y maxiter=25 inside=bof60
outside=0 periodicity=0
colors=000G0E<5>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<9>0p6<4>cz\
e<3>0s8<5>0g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>00001012215326538\
63A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<5>EhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHq\
aHo`GmZFkXFiX<5>BYOAWMAUL9SK<3>7KE6IC5GB5DA<5>121000001023025047049<5>0B\
L0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up4Yr8atCgvGkxKqz<4>0Vq<13>0FQ0DO0DM<3>0\
8E06C06A048046024012000100<11>P0JR0LT0NV0PX0P<2>b0Vd0Wf0Yh0Zj0`<2>p0e<4>\
zUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<5>I0F
}

jwpd02             { ; t=0:03:36 (P60)  Paul DeCelle 1/1/99
                     ; frm:gallet-8-08
reset=1960 type=formula formulafile=*.frm
formulaname=gallet-8-08 passes=1
center-mag=-8.88178e-016/1.11022e-014/1.0059/1/90
params=0.13/-0.039/-1.73/0.1 float=y maxiter=25 inside=bof60
outside=0 periodicity=0
colors=000<8>000000222<22>zzz<23>000<6>000000111222<44>rtxtvzsuy<45>2220\
00000<6>000100311<9>J77L88N99PAAQBA<22>zk8<22>RC9PAAOAA<8>A5584473352242\
2211000<5>000
}

jwpd03             { ; t=0:02:04 (P60)  Paul DeCelle 1/1/99
                     ; frm:gallet-8-08
reset=1960 type=formula formulafile=*.frm
formulaname=gallet-8-08 passes=1
center-mag=1.11022e-015/1.24345e-014/0.8293871
params=-0.7/0.218/3.14159265358979/0.01 float=y maxiter=25
inside=bof60 outside=0 periodicity=0
colors=000689134<18>kqx<29>467<13>jqw<28>222000011<47>`oraqt`ps<36>000<1\
8>lvvJNXHLW000<39>nsz<9>ACE
}

jwpd04             { ; t=0:04:53 (P60)  Paul DeCelle 1/1/99
                     ; frm:gallet-8-08
reset=1960 type=formula formulafile=*.frm
formulaname=gallet-8-08 passes=1
center-mag=0.72463/0.302659/6.557573/1/90
params=0.23/-0.039/-1.83/0.2 float=y maxiter=25 inside=bof60
outside=0 periodicity=0
colors=000G0E<5>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<9>0p6<4>cz\
e<3>0s8<5>0g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>00001012215326538\
63A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<5>EhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHq\
aHo`GmZFkXFiX<5>BYOAWMAUL9SK<3>7KE6IC5GB5DA<5>121000001023025047049<5>0B\
L0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up4Yr8atCgvGkxKqz<4>0Vq<13>0FQ0DO0DM<3>0\
8E06C06A048046024012000100<11>P0JR0LT0NV0PX0P<2>b0Vd0Wf0Yh0Zj0`<2>p0e<4>\
zUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<5>I0F
}

frm:Gallet-8-08 {; Sylvie Gallet, sylvie_gallet@compuserve.com, Mar 1997
             ; Requires periodicity = 0
             ; 0 < p2 <= 1 (default = 1)
   z = zn = pixel
   IF (p2 || imag(p2))
      k = p2
   ELSE
      k = 1
   ENDIF
   :
   zn = zn*zn + p1
   IF (abs(zn) < abs(z) && flip(abs(zn)) < flip(abs(z)))
      z = k*zn
   ENDIF
   |zn| <= 4
  ;SOURCE: gallet_8.frm
}

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From: Robert Hailman <robert@apexwood.com>
Subject: (fractint) Par Collection
Date: 30 Dec 1999 21:41:14 -0500

I am keeping a collection of every par and frm posted to this list, the
first one is the door3 par posted by Bill Decker a few days back.  It will
all be in a big par file. It will be available upon request.
Robert Hailman
robert@apexwood.com
-----
Peace, love and excessive drug use.
"I'm starting a war for peace."

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From: PKyleCA@aol.com
Subject: (fractint) What did I do wrong?
Date: 01 Jan 1999 16:59:09 EST

I saved the following posting- maybe my mistake was trying to save two pars as
one, or maybe I saved a form as a par.  When I access this one- it tells me it
cant find gallet-8-08.

Any ideas?
Thanks
Paul Kyle
--------------
EZ80801.GIF        { ; image(c)1998 JimWeaver   Gallet-8-08         t=01min44s
                     ;  
  reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-8-08
  passes=1 center-mag=-7.77156e-016/1.13243e-014/1.175117/1/90
  params=0.31/-0.034/-1.5/0.2 float=y maxiter=25 inside=bof60
  outside=0 periodicity=0
  colors=000aPP<7>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<12>\
  ZC5YB5W96U87T77R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A<14>d9H<10>A00<8\
  >Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<13>EP7DO5CM3AK0BJ0CI0<13>U30<15>zcc<8>d\
  RR
  }

EZDUZIT.GIF        { ; image(c)1998 JimWeaver   Gallet-8-08         t=09min40s
                     ;  
  reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-8-08
  passes=t center-mag=-6.43929e-015/5.10703e-015/1.133203/1/90
  params=0.305/-0.0295/-1.2/0.55 float=y maxiter=255 inside=bof61
  periodicity=0
  colors=000C0K<6>000<31>xxxzzzyyyzwwuuu0zzqqqzoommmzkziii<9>RRRzzPNNN<11>\
  000<6>F0P<6>204000000<29>U00V0zW00X00<32>000<6>F0P<6>204000011<39>Dtg0zz\
  zqeCpd<23>3EB3Cz3A8<3>143z22000<6>F0PzzN
  }

EZDUZIT2.GIF       { ; image(c)1998 JimWeaver   Gallet-5-09         t=05min44s
                     ;  
  reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-5-09
  function=flip/acos passes=t
  center-mag=-1.06581e-014/5.32907e-014/0.04976336/1/45
  params=0.1/0/0.2/0 float=y maxiter=75 inside=bof61 periodicity=0
  colors=000154zoommmzkziii<9>RRRzzPNNN<11>000<6>F0P<6>204000000<29>U00V0z\
  W00X00<32>000<6>F0P<6>204000011<3>1862972B82C93DA<30>Dtg0zzzqeCpd<23>3EB\
  3Cz3A8<3>143z22000<6>F0PzzNC0K<6>000<31>xxxzzzyyyzwwuuu0zzqqq
  cyclerange=2/255
  }

MNFNDZL1.GIF       { ; image(c)1998 JimWeaver  mandel(fn::fn)       t=03min07s
                     ;  
  reset=1960 type=mandel(fn||fn) function=tan/cos passes=t
  center-mag=2.73039/-7.81597e-014/0.03663419/1/-90
  params=0.675/0/0.65 float=y maxiter=50 bailoutest=and inside=bof61
  outside=atan invert=1/-0.09/0 periodicity=0
  colors=000vz4zz0<6>z_S<5>zD4z90x87<3>m3bj1jf1f<10>000<15>0f0<15>zz0<15>z\
  zz<15>000<12>TN0WO0YQ0`S0aU0<14>zz0<14>jB0i70f70<14>000<15>S5N<15>zz0<14\
  >ZZ8XX8VW8TU8RS8<2>LM6JK6HI6FG6DF5<2>795574354033077<10>3nn3rr5nr7jr9frB\
  br<3>Qzb<7>sz8
  }

MNFNTWST.GIF       { ; image(c)1998 JimWeaver  mandel(fn::fn)       t=02min13s
                     ;  
  reset=1960 type=mandel(fn||fn) function=exp/sqr passes=t
  center-mag=-7.11960784424144700/+4.62032094257837300/0.2764504
  params=1/0/0.1250000000000001 float=y maxiter=50 bailoutest=manh
  inside=bof60 invert=1/-0.606/0 periodicity=0
  colors=000cac<9>707<15>upz<14>74L<2>ECRHFTKJW<12>szz<46>EAE<15>spz<9>QNV\
  NKSMKS<7>9MO<10>KvtMzxLwu<13>2G804C<15>dzt<15>0LL<13>vqw<7>eWeLKh_P_<6>E\
  1E<15>www<4>fdf
  }


Gallet-5-09 { ; Sylvie Gallet [101324,3444], 1996
              ; PHC formula
  z = pixel * (whitesq - 0.5*(whitesq == 0 )) :
   x = real(z) , y = imag(z)
   x1 = x - p1 * fn1(y + p2*fn2(y))
   y1 = y - p1 * fn1(x + p2*fn2(x))
   z = x1 + flip(y1)
    |z| <= 64
  }

Gallet-8-08 { ; Sylvie Gallet, sylvie_gallet@compuserve.com, Mar 1997
              ; Requires periodicity = 0
              ; 0 < p2 <= 1 (default = 1)
   z = zn = pixel
   IF (p2 || imag(p2))
      k = p2
   ELSE
      k = 1
   ENDIF
   :
   zn = zn*zn + p1
   IF (abs(zn) < abs(z) && flip(abs(zn)) < flip(abs(z)))
      z = k*zn
   ENDIF
   |zn| <= 4
   }

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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: Re: (fractint) What did I do wrong?
Date: 01 Jan 1999 17:52:15 -0500

Try putting "frm:" (without the quotation marks) in front of all the formula names
in this posting. Thus, you should have: frm:Gallet-8-08  etc. Save changes to the
file then try to run it in Fractint.

Gedeon

PKyleCA@aol.com wrote:

> I saved the following posting- maybe my mistake was trying to save two pars as
> one, or maybe I saved a form as a par.  When I access this one- it tells me it
> cant find gallet-8-08.
>
> Any ideas?
> Thanks
> Paul Kyle
> --------------
> EZ80801.GIF        { ; image(c)1998 JimWeaver   Gallet-8-08         t=01min44s
>                      ;
>   reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-8-08
>   passes=1 center-mag=-7.77156e-016/1.13243e-014/1.175117/1/90
>   params=0.31/-0.034/-1.5/0.2 float=y maxiter=25 inside=bof60
>   outside=0 periodicity=0
>   colors=000aPP<7>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<12>\
>   ZC5YB5W96U87T77R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A<14>d9H<10>A00<8\
>   >Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<13>EP7DO5CM3AK0BJ0CI0<13>U30<15>zcc<8>d\
>   RR
>   }
>
> EZDUZIT.GIF        { ; image(c)1998 JimWeaver   Gallet-8-08         t=09min40s
>                      ;
>   reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-8-08
>   passes=t center-mag=-6.43929e-015/5.10703e-015/1.133203/1/90
>   params=0.305/-0.0295/-1.2/0.55 float=y maxiter=255 inside=bof61
>   periodicity=0
>   colors=000C0K<6>000<31>xxxzzzyyyzwwuuu0zzqqqzoommmzkziii<9>RRRzzPNNN<11>\
>   000<6>F0P<6>204000000<29>U00V0zW00X00<32>000<6>F0P<6>204000011<39>Dtg0zz\
>   zqeCpd<23>3EB3Cz3A8<3>143z22000<6>F0PzzN
>   }
>
> EZDUZIT2.GIF       { ; image(c)1998 JimWeaver   Gallet-5-09         t=05min44s
>                      ;
>   reset=1960 type=formula formulafile=_p.frm formulaname=Gallet-5-09
>   function=flip/acos passes=t
>   center-mag=-1.06581e-014/5.32907e-014/0.04976336/1/45
>   params=0.1/0/0.2/0 float=y maxiter=75 inside=bof61 periodicity=0
>   colors=000154zoommmzkziii<9>RRRzzPNNN<11>000<6>F0P<6>204000000<29>U00V0z\
>   W00X00<32>000<6>F0P<6>204000011<3>1862972B82C93DA<30>Dtg0zzzqeCpd<23>3EB\
>   3Cz3A8<3>143z22000<6>F0PzzNC0K<6>000<31>xxxzzzyyyzwwuuu0zzqqq
>   cyclerange=2/255
>   }
>
> MNFNDZL1.GIF       { ; image(c)1998 JimWeaver  mandel(fn::fn)       t=03min07s
>                      ;
>   reset=1960 type=mandel(fn||fn) function=tan/cos passes=t
>   center-mag=2.73039/-7.81597e-014/0.03663419/1/-90
>   params=0.675/0/0.65 float=y maxiter=50 bailoutest=and inside=bof61
>   outside=atan invert=1/-0.09/0 periodicity=0
>   colors=000vz4zz0<6>z_S<5>zD4z90x87<3>m3bj1jf1f<10>000<15>0f0<15>zz0<15>z\
>   zz<15>000<12>TN0WO0YQ0`S0aU0<14>zz0<14>jB0i70f70<14>000<15>S5N<15>zz0<14\
>   >ZZ8XX8VW8TU8RS8<2>LM6JK6HI6FG6DF5<2>795574354033077<10>3nn3rr5nr7jr9frB\
>   br<3>Qzb<7>sz8
>   }
>
> MNFNTWST.GIF       { ; image(c)1998 JimWeaver  mandel(fn::fn)       t=02min13s
>                      ;
>   reset=1960 type=mandel(fn||fn) function=exp/sqr passes=t
>   center-mag=-7.11960784424144700/+4.62032094257837300/0.2764504
>   params=1/0/0.1250000000000001 float=y maxiter=50 bailoutest=manh
>   inside=bof60 invert=1/-0.606/0 periodicity=0
>   colors=000cac<9>707<15>upz<14>74L<2>ECRHFTKJW<12>szz<46>EAE<15>spz<9>QNV\
>   NKSMKS<7>9MO<10>KvtMzxLwu<13>2G804C<15>dzt<15>0LL<13>vqw<7>eWeLKh_P_<6>E\
>   1E<15>www<4>fdf
>   }
>
> Gallet-5-09 { ; Sylvie Gallet [101324,3444], 1996
>               ; PHC formula
>   z = pixel * (whitesq - 0.5*(whitesq == 0 )) :
>    x = real(z) , y = imag(z)
>    x1 = x - p1 * fn1(y + p2*fn2(y))
>    y1 = y - p1 * fn1(x + p2*fn2(x))
>    z = x1 + flip(y1)
>     |z| <= 64
>   }
>
> Gallet-8-08 { ; Sylvie Gallet, sylvie_gallet@compuserve.com, Mar 1997
>               ; Requires periodicity = 0
>               ; 0 < p2 <= 1 (default = 1)
>    z = zn = pixel
>    IF (p2 || imag(p2))
>       k = p2
>    ELSE
>       k = 1
>    ENDIF
>    :
>    zn = zn*zn + p1
>    IF (abs(zn) < abs(z) && flip(abs(zn)) < flip(abs(z)))
>       z = k*zn
>    ENDIF
>    |zn| <= 4
>    }
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   fractint@lists.xmission.com
> Get Commands:   majordomo@lists.xmission.com "help"
> Administrator:  twegner@phoenix.net
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--
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Last updated: December 11, 1998 - new page added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) What did I do wrong?
Date: 01 Jan 1999 21:08:18 EST

In a message dated 1/1/99 2:56:13 PM Pacific Standard Time, gedeon@InfoAve.Net
writes:

> Try putting "frm:" (without the quotation marks) in front of all the formula
> names
>  in this posting. Thus, you should have: frm:Gallet-8-08  etc. Save changes 
> to the
>  file then try to run it in Fractint.
>  

I guess I am not doing this right.  Still coming up empty.

I guess because I do not have the file _p.frm, I am having the problems.  If
someone could post that, I'd probably get it to work.

Thanks

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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: Re: (fractint) What did I do wrong?
Date: 01 Jan 1999 21:28:14 -0500

The file _p.frm is part of the large ORGFORM compilation of formulas which you can
download here:

http://spanky.triumf.ca/www/fractint/fractint.html

It is possible that the method I suggested previously doesn't work for you if you
do not have the latest version -- 19.6 -- of Fractint. Embedding formulas in such
a manner into par files does not work in earlier versions. If you don't have 19.6,
you can download that too at the above address.

As an alternative, you can separate the pars from the formulas in any of the
postings on this list in which they are presented together. Make separate files of
the pars and formulas respectively, saving the former with .par extension, the
latter with .frm extension. If you do this, however, be sure to delete and frm:
prefix which may be attached to the formulas.

Gedeon

PKyleCA@aol.com wrote:

> In a message dated 1/1/99 2:56:13 PM Pacific Standard Time, gedeon@InfoAve.Net
> writes:
>
> > Try putting "frm:" (without the quotation marks) in front of all the formula
> > names
> >  in this posting. Thus, you should have: frm:Gallet-8-08  etc. Save changes
> > to the
> >  file then try to run it in Fractint.
> >
>
> I guess I am not doing this right.  Still coming up empty.
>
> I guess because I do not have the file _p.frm, I am having the problems.  If
> someone could post that, I'd probably get it to work.
>
> Thanks
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   fractint@lists.xmission.com
> Get Commands:   majordomo@lists.xmission.com "help"
> Administrator:  twegner@phoenix.net
> Unsubscribe:    majordomo@lists.xmission.com "unsubscribe fractint"

--
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Member Infinite Fractal Loop
Last updated: December 11, 1998 - new page added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) What did I do wrong?
Date: 01 Jan 1999 21:54:21 EST


I am using 19.6.  Perhaps I've overlooked something simple.
Thanks for the link.  I'll download the frm files I need.

In a message dated 1/1/99 6:37:46 PM Pacific Standard Time, gedeon@InfoAve.Net
writes:

> It is possible that the method I suggested previously doesn't work for you
if 
> you  do not have the latest version -- 19.6 -- of Fractint. Embedding
formulas in 
> such  a manner into par files does not work in earlier versions. If you
don't have 
> 19.6,  you can download that too at the above address.

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-------------------------------------------------------------------------------

From: Robert Hailman <robert@apexwood.com>
Subject: Re: (fractint) What did I do wrong?
Date: 31 Dec 1999 15:07:00 -0500

I had that problem. When you put the frm: in front of the formula name,
that tells fractint that it is a formula and shouldnt appear on the list of
entry. When trying to find a formula, it only looks in the par file if it's
not a builtin frm and no other frm file is referenced. if you remove the
reference to _p.frm (formulafile=_p.frm) it will look in the par file
itself and then it should work.

At 09:54 PM 01/01/99 EST, you wrote:
>
>I am using 19.6.  Perhaps I've overlooked something simple.
>Thanks for the link.  I'll download the frm files I need.
>
>In a message dated 1/1/99 6:37:46 PM Pacific Standard Time,
gedeon@InfoAve.Net
>writes:
>
>> It is possible that the method I suggested previously doesn't work for you
>if 
>> you  do not have the latest version -- 19.6 -- of Fractint. Embedding
>formulas in 
>> such  a manner into par files does not work in earlier versions. If you
>don't have 
>> 19.6,  you can download that too at the above address.
>
>--------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
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>
>
Robert Hailman
robert@apexwood.com
-----
Peace, love and excessive drug use.
"I'm starting a war for peace."

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) 2 pars
Date: 02 Jan 1999 11:42:15 -0500

Happy New Year to All!

6SG80503           { ; .                                    t=3D  0:04:32=
.48
                     ; Copyright Sylvie Gallet, Jan 02, 1999
                     ; <sylvie_gallet@compuserve.com>
                     ; t=3Dcalc time using a PII 300 at 1600 x 1200
  reset=3D1960 type=3Dformula formulafile=3D_g.frm formulaname=3Dgallet-8=
-05
  passes=3D1
  center-mag=3D-0.10451345534796250/+0.92495565829145730/70.87156
  params=3D0.2/0.2 float=3Dy maxiter=3D1500 inside=3D88 decomp=3D256
  periodicity=3D0
  colors=3Dgdh<4>c`ec`edae<37>yykzzlzyj<12>zsMzrKzqK<13>oTGnRFlQE<13>A00<=
8>K\
  00<16>wp0zt0zs0<4>yk0yi0yh0xg0<12>nS0mQ0lP0kN0jM0<5>dE0cC0aB0_A0<9>F00<=
2\
  >I04J06J17K28<5>P9EQAFRBGSDHTEJUGK<9>cUXeWZeWZ<13>mijnjknjknkl<16>vvvww=
w\
  wwwwww<24>gei cyclerange=3D0/255
  }

6SG80504           { ; .                                    t=3D  0:06:18=
.49
                     ; Copyright Sylvie Gallet, Jan 02, 1999
                     ; <sylvie_gallet@compuserve.com>
                     ; t=3Dcalc time using a PII 300 at 1600 x 1200
  reset=3D1960 type=3Dformula formulafile=3D_g.frm formulaname=3Dgallet-8=
-05
  passes=3D1
  center-mag=3D-1.26060643713928600/+0.09171467647605767/889.8796
  params=3D0.2/0.2 float=3Dy maxiter=3D1500 inside=3D0 decomp=3D256
  periodicity=3D0
  colors=3D33D<40>ffiggjiik<14>wwwxxxxwv<11>yqUypSyoQynNymLzlI<2>ykFyjEyi=
Dyh\
  CxhBxgAxf8xf8<3>wc4vc3vb2ua0t`0<13>cL0aJ0`J0<13>ID2GC3GC3<13>7CG6DH6DH6=
D\
  I<17>BJUCKUCKVDLVDLW<4>MSaNTbPVdRXe<5>aemcgocgo<13>pppqqqppq<51>22C11B0=
0\
  A00A11B22C cyclerange=3D0/255
  }


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-------------------------------------------------------------------------------

From: "Les St Clair" <les_stclair@crosstrees.prestel.co.uk>
Subject: (fractint) December par Collection available
Date: 02 Jan 1999 18:29:59 -0000

Happy New Year,

The December par collection from these pages is now available at:

http://ourworld.compuserve.com/homepages/Les_StClair/fml.htm

(just the parameters)

or, if you prefer the pars with their original messages left intact you can get
this version:

http://www.homeusers.prestel.co.uk/crosstrees/fml.htm

An updated companion formula collection (frac_ml.frm) is available from both
sites.

cheers,

Les


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From: Lee&SusanLane <slane@kiwi.dep.anl.gov>
Subject: Re: (fractint) 2 pars
Date: 02 Jan 1999 13:49:18 -0600

Hi Sylvie,

My Fractint 19.6 doesn't recognize reset=3d1960. What should do to help 
it? And, by the way, your timings of your recent pars (and for, that 
matter, those of Jim Beau) are so far to the right that they wrap around 
and, not the being behind a semicolon, are not recognized either.

My best to you as always,   Lee


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From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) 2 pars
Date: 02 Jan 1999 12:58:34 -0700 (MST)

I'm not sure how UF treats the "reset=" parameter, but your par got
infected by the dreaded "3d" disease.  Just remove the 3d from between the
= and the 1960.  It's an artifact of some binary/text translation.

Kerry Mitchell
lkmitch@primenet.com    www.primenet.com/~lkmitch/

On Sat, 2 Jan 1999, Lee&SusanLane wrote:

> Hi Sylvie,
> 
> My Fractint 19.6 doesn't recognize reset=3d1960. What should do to help 
> it? And, by the way, your timings of your recent pars (and for, that 
> matter, those of Jim Beau) are so far to the right that they wrap around 
> and, not the being behind a semicolon, are not recognized either.
> 
> My best to you as always,   Lee
> 
> 
> --------------------------------------------------------------
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> 


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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: Re: (fractint) 2 pars
Date: 02 Jan 1999 19:03:01 -0500

Hi Kerry,

>> I'm not sure how UF treats the "reset=3D" parameter,
                    ^^
  ;-)

  Cheers,

        - Sylvie

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: Re: (fractint) 2 pars
Date: 02 Jan 1999 19:03:00 -0500

Bonsoir Lee,

>> My Fractint 19.6 doesn't recognize reset=3D3d1960. What should do to h=
elp =

>> it? And, by the way, your timings of your recent pars (and for, that =

>> matter, those of Jim Beau) are so far to the right that they wrap arou=
nd
>> and, not the being behind a semicolon, are not recognized either.

  Ah, the "=3D3D" disease...  I am emailing you these pars in a zip file.=

  As for Jim's pars, I always have to edit them so that Fractint can read=

them.

  Amicalement,

        - Sylvie

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From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) More Pars for '99
Date: 02 Jan 1999 22:04:55 -0500

Hi, Everyone --

Here are seven nice quick-generating pars - "Michigan_1_2_99" pretty
much sums it up for today's weather; 12in (30cm) snow & still counting
as I type.

I seem to be in a somewhat metallic coloring phase, lately...

Enjoy!  Paul DeCelle



Gray_Cross         { ; Paul DeCelle 2/2/99  t=  0:01:15
                     ; Derived from a Kathy Roth PAR
reset=1960 type=formula formulafile=frac_ml.frm
formulaname=gravijul-v2 function=tan/sqrt/ident passes=1
center-mag=0.312351/0.296574/1.095379/1/-135
params=1.4/0/0.13/0/3.14159265358979/2.71828182845905 float=y
maxiter=300 inside=0 invert=1/0.2/0.15 decomp=256
colors=000966<19>qsq<35>995773884<36>qsq111<19>VVQXXSYYT__V``W<7>llgnnio\
okqqmrro<4>zzw<14>YYUWWRUUQ<13>222000000<82>302744
}

Dread              { ; Paul DeCelle 2/2/99  t=  0:01:47
                     ; Derived from a Kathy Roth PAR
reset=1960 type=formula formulafile=frac_ml.frm
formulaname=gravijul-v2 function=tan/sqrt/tan passes=1
center-mag=0.312351/0.296574/0.425007/1/-135
params=1.4/0/0.13/0/3.14159265358979/2.71828182845905 float=y
maxiter=300 inside=0 invert=1/0.2/0.15 decomp=256
colors=000966<19>qsq<35>995773884<36>qsq111<19>VVQXXSYYT__V``W<7>llgnnio\
okqqmrro<4>zzw<14>YYUWWRUUQ<13>222000000<82>302744
}

Ringworld          { ; Paul DeCelle 2/2/99  t=  0:01:37
                     ; Derived from a Kathy Roth PAR
reset=1960 type=formula formulafile=frac_ml.frm
formulaname=gravijul-v2 function=conj/log/cotan passes=1
center-mag=0.152792/0.606921/4.561974/2.1082/-139.133/-32.475
params=1.88/0/0.13/0/3.14159265358979/2.71828182845905 float=y
maxiter=300 inside=0 invert=1/0.2/0.15 decomp=256
colors=000966<19>qsq<33>CC8AA6995773884<36>qsq111<19>VVQXXSYYT__V``W<7>l\
lgnniookqqmrro<4>zzw<14>YYUWWRUUQ<13>222000000<82>302744
}

Michigan_1-2-99    { ; Paul DeCelle t=0:02:28 P60
reset=1960 type=formula formulafile=_g.frm formulaname=Gallet-3-02
function=exp/tan center-mag=-1.87663/3.0793/9.05748
params=3.14159265358979/0.7/10/2 outside=atan
colors=000000<39>nsz<11>134<18>kqx<29>467<13>jqw<28>222000011<47>`oraqt`\
ps<36>000<18>lvvJNXHLW
}

Buckle_up          { ; Paul DeCelle t=0:01:16 P60
reset=1960 type=formula formulafile=_g.frm formulaname=gallet-3-02
function=sqr/conj center-mag=-1.484e-005/-0.0487643/0.1883117
params=3.14159265358979/0.7/10/2 outside=atan
colors=000000<39>nsz<11>134<18>kqx<29>467<13>jqw<28>222000011<47>`oraqt`\
ps<36>000<18>lvvJNXHLW
}

Wrought_Iron       { ; Paul DeCelle t=0:01:26 P60
reset=1960 type=formula formulafile=_g.frm formulaname=Gallet-3-02
function=recip/atanh center-mag=1.71983/0.395901/0.1649671
params=3.14159265358979/0.7/-4/2 outside=atan
colors=000000<39>nsz<11>134<18>kqx<29>467<13>jqw<28>222000011<47>`oraqt`\
ps<36>000<18>lvvJNXHLW
}

Trantor_In_Ruins   { ; Paul DeCelle t=0:02:36 P60
reset=1960 type=formula formulafile=_g.frm formulaname=Gallet-3-02
function=tan/exp center-mag=-1.85416/-1.86588/10.69649/1/45
params=6.28/0.7/-9/50 outside=atan
colors=000000<39>nsz<11>134<18>kqx<29>\
467<13>jqw<28>222000011<47>`oraqt`ps<36>000<18>lvvJNXHLW
}

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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) 1 par
Date: 03 Jan 1999 06:31:57 EST


  Hi All,

     This is my 1st posting of the year and from the new 'puter.  More to come
later.

       Enjoy~

  Jim Weaver

*******************************

prnrnbo1.gif       { ; image(c)1999 JimWeaver  PRN_02  t=03m13s PII350
1024x768
  reset=1960 type=formula formulafile=fractint.frm formulaname=PRN_02
  function=cosxx/recip/sinh passes=t
  center-mag=0.321252/4.44089e-016/0.5580357/1/-90 params=0/0/0/0
  float=y maxiter=255 logmode=fly periodicity=0
  colors=00F5BF<3>000<3>FD8ABBNKD<9>zrZ<15>000<15>z00<15>000<15>www<15>000\
  <15>0m0<15>000<15>zrZ<15>000<15>z0r<8>S0PK0I<4>000<15>www<15>000<6>8JP9M\
  SBPWCS_DUbEXf<3>Khu<10>6EI
  }


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-------------------------------------------------------------------------------

From: "Paul N. Lee" <Paul.N.Lee@Worldnet.att.net>
Subject: Re: (fractint) 1 par
Date: 03 Jan 1999 05:42:01 -0600

Jim Weaver <JimBeau549@aol.com> wrote:
>
> Hi All,
>
> This is my 1st posting of the year and from the new 'puter.
> More to come later.
>
> Enjoy~
>

Have you been up all night playing with this new PC??   :-)

P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: Re: (fractint) 1 par
Date: 03 Jan 1999 06:52:08 EST


In response to Paul Lee's mail:

    Guilty!!!   :)

        G'Nite~

  Jim

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: Re: (fractint) 1 par
Date: 03 Jan 1999 14:05:41 -0500

JimBeau549@aol.com wrote:
> 
>   Hi All,
> 
>      This is my 1st posting of the year and from the new 'puter.  More to come
> later.
> 
>        Enjoy~
> 
>   Jim Weaver
> 
> *******************************
> 
> prnrnbo1.gif       { ; image(c)1999 JimWeaver  PRN_02  t=03m13s PII350


Jim-- Nice image!  BTW, my time (P60) was 10m37s, or about 3.3 times
slower.  I'm impressed (and a little bit envious!).

Regards, Paul DeCelle

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-------------------------------------------------------------------------------

From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) 1 par
Date: 03 Jan 1999 20:06:46 -0500

Hi Jim,

what's going on?

>>prnrnbo1.gif       { ; image(c)1999 JimWeaver  PRN_02  t=3D03m13s PII35=
0
1024x768

My time on P233MMX is 2:37.19!!!

I'm running Windows 95 and start fractint under Norton Commander 5.0 DOS.=


Cheers --Jo (Jochen) Weber--

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From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) 1 par
Date: 03 Jan 1999 20:33:24 -0500

Hi Jim,

it's me again.

I rebooted my machine and started fractint solo in pure DOS-mode. Now the=

time is
2:33.63!!
Even on my P166 the image only needs 3:30.53 in pure DOS-mode.

Cheers --Jo Weber--

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-------------------------------------------------------------------------------

From: Lee&SusanLane <slane@kiwi.dep.anl.gov>
Subject: Re: (fractint) 1 par
Date: 03 Jan 1999 23:57:01 -0600

Hi Jim,

Beautiful image...like a great throned samurai displaying his 
magnificent robes. Nice first for '99 and your 'puter. But I join 
JoWeber in wondering about the time. My P200 did it in 3:10:15 @ 
1024X768.

Lee Lane


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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: Re: (fractint) 1 par
Date: 04 Jan 1999 04:28:40 EST



    Hmmm......I guess maybe there's a bit of tweaking to be done here.  If
anyone who is familiar with Windows 98 and knows of any suggestions I'd be
grateful for some tips.  Also, I'm running Fractint from a shortcut icon that
jumps to DOS.  I tried running directly from DOS and only shaved about 3
seconds off an image. :(   I do have a lot to learn about Win98 such as how to
trim all the fat away and get down to the meat.
    Anyway, at least I can see my stuff in 1024x768 now.  Has anyone ever
converted their images to BMPs and used them on the maze screensaver in Win98?
Now THAT's really cool.  :)     Enough text for now~

  Jim

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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) 4 pars (2nd post)
Date: 04 Jan 1999 06:21:55 EST


   Here's a cool looking mask/face and various other stuff I culled from the
last few days(hrs). <g>   

      Enjoy~

  Jim

****************************************

prnrnbo4.gif       { ; image(c)1999 JimWeaver  PRN_02  t=03m18s PII350
1024x768
  reset=1960 type=formula formulafile=_p.frm formulaname=PRN_02
  function=sinh/recip/tanh passes=t
  center-mag=-0.0260756/-2.22045e-015/0.4098361/1/-90 params=0/0/0/0
  float=y maxiter=255 logmode=fly periodicity=0
  colors=0004H20F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS<14>0007Mw<4>e00<\
  4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>\
  0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo`<13>8K5
  }

prnrnb11.gif       { ; image(c)1999 JimWeaver  PRN_02  t=03m37s PII350
1024x768
  reset=1960 type=formula formulafile=_p.frm formulaname=PRN_02
  function=cotan/cotanh/log passes=t
  center-mag=-1.37668e-014/-1.86517e-014/0.9296309/1/-90
  params=0/0/0/0 float=y maxiter=255 logmode=fly periodicity=0
  colors=000236<2>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>z\
  o`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo`\
  <15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS<10>347
  }

strmkrn1.gif       { ; image(c)1999 JimWeaver manlam(fn::fn)                  
                     ; t=00m33s PII350 1024x768
  reset=1960 type=manlam(fn||fn) function=sin/ident passes=t
  center-mag=+0.55715089660642110/+0.77114821685158450/2.583497/1/-4.999
  params=0/0/15 float=y maxiter=25 bailout=32767 inside=bof60
  logmode=fly invert=1/0/0.9 periodicity=0
  colors=000gK4<6>ZC5YB5W96U87T77R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A\
  <14>d9H<10>A00<8>Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<15>\
  zcc<17>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<4>hL4
  }

strmkrn4.gif       { ; image(c)1999 JimWeaver manlam(fn::fn)                  
                     ; t=01m08s PII350 1024x768
  reset=1960 type=manlam(fn||fn) function=sin/conj passes=b
  center-mag=+0.34976060900827510/-1.73822393300725400/10.6135/1/-155
  params=0/0/39 float=y maxiter=255 bailout=12760 bailoutest=and
  inside=bof61 logmode=fly invert=1/0/-0.5 periodicity=0
  colors=000vZZxaazcc<17>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4\
  oQ4<7>dI4cH5bF5aE5_D5ZC5<4>R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A<14>\
  d9H<10>A00<8>Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<12>tXX
  }


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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) All Crossed Up
Date: 04 Jan 1999 08:20:31 -0500

I?m not sure if someone posted a recent par using the Lesfrm34 formula =
or
if I started from scratch, but something got me started on investigatin=
g
what you could do with it. Crosses are the connecting theme of most of =
the
images that I liked.

Vine-lattice2 was the first image that I was satisfied with. It is eith=
er a
finely etched, gray, matte surface or a general glowing source obscured=
 by
a vine-like lattice. Depends on how your eyes are processing 2D images =
into
3D at the moment. Zooms or slight color shifts accentuate a glassy, gen=
tly
rounded surface.

Disassembly was a derivative of the vine images. It seems to be coming
apart (or coming together.) The fine lines seem to suggest jigsaw puzzl=
e
shapes, adding to the sense of fragmentation.

Biaxial-subframe is a derivative of Disassembly. It is so mechanical in=

appearance that an astronaut?s gloved hand seems just about to enter th=
e
image. Pumps, filters, and hoses peek from access ports. Waffled, rivet=
ed
protective covers hide all except the mechanical nexus where the main
action seems to be (if only we could figure out what it is supposed to =
DO.)

Bill Decker


vine-lattice2      { ;  (c) Bill Decker Dec 04, 1998 t=3D  0:03:16.47
                     ;  on P100 1024x768
  reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
  function=3Dcosxx/sin/asin passes=3D1
  center-mag=3D0.138443/-0.0508563/0.1011455/1/-44.998 params=3D5/5/5/5=

  potential=3D255/200/0
  colors=3D000242<2>111000000000<28>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>=
yiizj\
  jzjjzkk<29>zzzzzzzzy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGF=
UFF\
  TF<23>353
  }

disassembly        { ;  (c) Bill Decker Dec 05, 1998 t=3D  0:01:22.22
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
  function=3Dcotanh/cotan/cosxx passes=3D1
  center-mag=3D0.138346/-0.0504816/0.1192496/1/-134.999 params=3D1/0/1/=
0
  potential=3D255/200/0
  colors=3D000a`L<24>k`ek_ejZd<25>T8PS6OS6O<31>gPThQThRTiSTiTT<31>yxxzz=
zzzy<\
  29>llWkkUkkU<45>BPBAOAAOAAOA<18>6E66E66D65C56C58C5<2>CE6DF6EG7GH8<13>=
__I\
  ``J``J``Ka`L
  }

biaxial-subframe   { ;  (c) Bill Decker Dec 30, 1998 t=3D  0:02:47.74
                     ;  on P100 1024x768
  reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
  function=3Dcotanh/cotan/cosxx passes=3D1
  center-mag=3D0.576302/-0.138974/0.09307674/1/-122.499 params=3D10/0/1=
0/0
  potential=3D255/200/0
  colors=3D000CLS<3>7GO5FN4EM2CK1AH18E05A<6>1JR1LU3MV<26>vyw<19>NVaLT`J=
R_HPY\
  FNX<3>8HT6FS6FS<2>7EQ7EP8DP9CO<16>J1BK0AM3A<14>zt0<13>tb0ta0s_0rZ0<6>=
iL0\
  hJ0gI0fH0<10>R60Q50P50O40N30<3>H00<39>jfbkgclhe<11>vuuwwwvww<2>ruwqtv=
osv\
  nrulqt<2>hnsfmrelqdkpcjo<21>DMT
  }
=



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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) added new page to website
Date: 04 Jan 1999 20:06:28 -0500

I uploaded a new page to my Geocities website containing images I
created with simple formulas I wrote based on some equations of curves I
found in an ancient textbook of elementary analytic geometry. I hope you
enjoy them.

I also played around with making bordered backgrounds; some fractal,
some floral, and others. A link to the site containing them is also
found on my Geocities page.

Gedeon

--
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: December 11, 1998 - new page added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: SKarl52884@aol.com
Subject: (fractint) AGP
Date: 05 Jan 1999 07:14:59 EST

Greetings,

	As I am on the verge of building a machine [ 440BX / PII450 ] I see the lure
of AGP and wonder how, if I choose to use AGP, it will impact images done in
fractint,
and or, imaging in general.
	Is anyone using an AGP card and if so [ or if not ] do you have any input?
I realize this is off topic. Anyone can write me direct if they would be
inclined.
Thank you,
Steve

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) All Crossed Up
Date: 05 Jan 1999 15:24:31 EST

I think I've got the hang of these par things now- I posted some duplicates
last month, not realizing I had done so until seeing the entire file posting.

The following are interesting modifications of files I've been looking at:

--------------
tiles              { ; (c) 1998 by Paul Kyle, PKyleCA@aol.com 
                     ; image a Modification of "Pop Rivet", originally
                     ; (c) 1996 by Les St Clair 101461.2032@compuserve.com
  reset=1960 type=formula formulafile=forum_96.frm
  formulaname=bj-sg-3-03-gb function=sqr/tan passes=1
  center-mag=-0.311771/0.233278/0.1387319/1/-62.498
  params=3.1417/0.31414/3.1417/0.6 float=y maxiter=483 outside=atan
  periodicity=0
  colors=110<109>zz0zz0yy0<45>110000010<45>0y_0z`0y_<46>100
  }

GaussianDistortion { ; (c) 1998 by Paul Kyle, PKyleCA@aol.com 
                     ; image a Modification of "Pop Rivet", originally
                     ; (c) 1996 by Les St Clair 101461.2032@compuserve.com
  reset=1960 type=formula formulafile=forum_96.frm
  formulaname=bj-sg-3-03-gb function=cosxx/log passes=1
  center-mag=-10.2394/0.532741/0.09792811/1/-90
  params=0.14423423/2.414/2.7188/0.00054 float=y maxiter=256
  outside=atan periodicity=0
  colors=110<109>zz0zz0yy0<45>110000001<45>00x00z00y<43>013121110100
  }

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: (fractint) Pars
Date: 05 Jan 1999 15:29:02 EST

A few more, all modifications of Moire Mask....(forgot where I found that one)

Temple puddles     { ; Modification of Moire Mask
                     ; (C) 1998  Paul Kyle
  reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
  center-mag=-0.00207363/-0.00207363/0.09361006/1/44.999
  params=0.5/0/1/0 float=y maxiter=147 inside=255 potential=255/344/0
  invert=6/0/0 colors=000zzz<47>5zz4yy4yy<77>0Wy0Vx0Vx0Vw0Uw<121>000
  }




pouring            { ; Modification of Moire Mask
                     ; (C) 1998  Paul Kyle
  reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
  center-mag=6.9531/6.95334/1.492843/1/44.999 params=0.5/0/3/0 float=y
  maxiter=35 inside=255 potential=255/344/0 invert=6/0/0
  colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
  00
  }

cathedral          { ; Modification of Moire Mask
                     ; (C) 1998  Paul Kyle
  reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
  center-mag=+6.88710589927545400/+6.88734638120362100/364.4637/1/44.998
  params=0.5/0/3/0 float=y maxiter=35 inside=255 potential=255/344/0
  invert=6/0/0
  colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
  00
  }

butterflyafire     { ; Modification of Moire Mask
                     ; (C) 1998  Paul Kyle
  reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
  center-mag=27.5656/27.5646/0.007381165/1/44.998
  params=0.34343/-0.3234/-0.343/0 float=y maxiter=35 inside=255
  potential=255/344/0 invert=6/0/0
  colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
  00
  }


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-------------------------------------------------------------------------------

From: Christopher Springer <santini@home.com>
Subject: (fractint) Accuracy
Date: 05 Jan 1999 21:31:21 -0800

Greetings...

I have always heard that Fractint is blindingly fast
compared to other such programs because it is
based on integer math instead of floating point math.

However, to do this it makes certain "approximations".

Could this mean the results obtained are only
"approximately" Mandlebrot, perhaps becoming
more and more approximate as iterations and
zoom levels increase???

Are we looking at "true" fractals, or are we just
doing dances with Wolves
in Mandelbrot's clothing???

(I shall now "duck and cover"!!!)

Chris Springer


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-------------------------------------------------------------------------------

From: "Jay Hill" <ehill1@san.rr.com>
Subject: Re: (fractint) Accuracy
Date: 05 Jan 1999 22:23:00 -0800

Hi Christopher,

Fractint uses more floating point than you might think, 
since the current Pentium processors have very fast 
floating point math.  After you zoom into the Mandelbrot set 
a certain amount you pass the limits of double precision 
and Fractint switches to extended precision math. So you 
can zoom into very high magnifications and get very 
nice results.

Jay Hill
----------
> From: Christopher Springer <santini@home.com>
> To: fractint@lists.xmission.com
> Subject: (fractint) Accuracy
> Date: Tuesday, January 05, 1999 9:31 PM
> 
> Greetings...
> 
> I have always heard that Fractint is blindingly fast
> compared to other such programs because it is
> based on integer math instead of floating point math.
> 
> However, to do this it makes certain "approximations".
> 
> Could this mean the results obtained are only
> "approximately" Mandlebrot, perhaps becoming
> more and more approximate as iterations and
> zoom levels increase???
> 
> Are we looking at "true" fractals, or are we just
> doing dances with Wolves
> in Mandelbrot's clothing???
> 
> (I shall now "duck and cover"!!!)
> 
> Chris Springer
> 


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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Taking it for granite
Date: 06 Jan 1999 07:33:03 -0500

(Sorry, I couldn?t resist the chance for a silly Malapropism.)

These images have the general theme of carved stone chased with silver =
or
gold. The fractal is not fully resolved in the regions where very fine
striations are well below the resolution of the screen. The result is a=

fine textured, speckled stone-like surface resembling polished granite.=


The pars are presented in time order in which I created them. (I saved
about 25 pars on my journey in this quest of the best rendition of what=
 I
imagined that I saw in the first par in the series.) I?ve got some comm=
ents
that try to let you inside my head as I pursued the ?perfect? image fro=
m
this fractal.

Padds was the first of the images that I saved. It has a slightly diffe=
rent
formula set than the others (asinh rather than sin). I decided to see w=
hat
the pad-like stone surfaces could be evolved to.

Pebble-flowers finally settled on the formula set that I liked, but the=

challenge now was to see if I could find a part of the fractal surface =
that
reminded me of something ?real?. I got some good detail in the dark are=
as
of the image that I would have difficulty in achieving in later pars.

Pebble-flowers3 seemed like something I could work with. The compositio=
n
was kind of symmetric (something I usually don?t like) and seemed to co=
nvey
a stone carver?s decorative intent.

Pebble-flowers4 ends up being my favorite. The granite surface has a mo=
ssy
shade and the moon silver holding the flower petals in place has a mute=
d
sparkle. For some reason, I imagine that the carving is the artist?s
decoration of a natural rock crevice that crosses a stream bed. Water
flowing over this carving seems natural given the dark green shadows in=
 the
crevice.

Pebble4p is a fantasy in garnet with gold tinged clasps holding the pie=
ces
in place. Just a side excursion, I liked the glassy reds and gold tinge=
s
but it seemed too unreal for me.

Talus-pebbles is a wider view of a pebbled scene. The rounded rocks and=

broken gems lie in cemented heaps like fossils; an ancient treasure, no=
w
petrified. I like this one almost as much as pebble-flowers4 since it s=
eems
to have a story behind it. Still, the simpler story of pebble-flowers4 =
wins
out. I can see now that I should have stayed with the pebble-flowers4
colors.

Pebbles-wh2 was an attempt to get more detail visible in the depths of =
the
crevices in the carving. Didn?t work. Too light and still no better
definition of the carving in the crevices.

I finally gave it a rest today and decided to try to document the evolu=
tion
of this particular series. I think pebble-flowers4 is still the best
rendition I have to date. Like most other series of this sort (where I =
try
to evolve a fractal), the best result seems to be one of the attempts i=
n
the middle of the series, in this case number 13 in the series.

Without saying so directly in this tale of search and reward, my search=
es
tend to focus on finding fractals that tell me a story. Hmmm, I?ll have=
 to
think about that. I'm not sure that it applies to me all the time.

Anyone care to comment on my attempt to tell you how I worked this frac=
tal?
Anyone see a way to get that damn detail in the crevices to become more=

apparent?

If you would like to see a contact print of these seven fractals, go to=

http://www.geocities.com/SoHo/Studios/1450/granite.jpg

The old copy of LView I use for contact prints does not understand long=

file names and seems to use some arcane ordering for drag and dropped
files. Here is the translation table:
padds.gif    Padds
pebble~1.gif Pebble-flowers
pebble~2.gif Pebble-flowers3
pebble~3.gif Pebble-flowers4
pebble4p.gif Pebble4p
talus-~1.gif Talus-pebbles
pebble~4.gif Pebbles-wh2

Bill Decker


padds              { ;  (c) Bill Decker Jan 02, 1999 t=3D  0:02:18.52
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/asinh passes=3D1
  center-mag=3D-0.59067018549382360/+0.85725534526282780/2612.355/1/-70=

  params=3D5/-5/5/-5/2/2000 float=3Dy potential=3D255/400/0
  colors=3D000GH8<13>__I``J``J<27>k`ek_ejZd<25>T8PS6OS6O<32>hQThRTiSTiT=
TjUU<\
  30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAOAAOA<20>6D65C56C5<2>BD6CE6DF6EG7=

  }

pebble-flowers     { ;  (c) Bill Decker Jan 02, 1999 t=3D  0:02:15.89
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-0.78631140962978900/-0.01006275807433995/676.604/1/-117=
.499
  params=3D5/-5/5/-5/2/2000 float=3Dy potential=3D255/400/0
  colors=3D0005C5<2>9D5BD6CE6DF6<5>MMBNOCPPCQRDRSE<5>__I``J``J<27>k`ek_=
ejZd<\
  25>T8PS6OS6O<32>hQThRTiSTiTTjUU<30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAO=
AAO\
  A<20>6D6
  }

pebble-flowers3    { ;  (c) Bill Decker Jan 02, 1999 t=3D  0:02:35.94
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-0.82456563416819680/+0.00038519494123827/593.9744/1/147=
.499
  params=3D4/-3/-5/-5/2/2000 float=3Dy potential=3D255/600/0
  colors=3D0009D5BD6CE6<4>JK9KLAMMBNOCPPCQRD<6>__I``J``J<27>k`ek_ejZd<2=
5>T8P\
  S6OS6O<32>hQThRTiSTiTTjUU<30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAOAAOA<2=
0>6\
  D65C56C58C5
  }

pebble-flowers4    { ;  (c) Bill Decker Jan 03, 1999 t=3D  0:02:26.16
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-0.78550758907534370/-0.00005011653741778/695.1953/1/-17=
7.498
  params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/400=
/0
  colors=3D0009L9<13>6E66E66D65C56C58D59D5BD6CE6<6>MMBNOCPPCQRDRSE<5>__=
I``J`\
  `J<25>j`ck`dk`ek_ejZdiYc<24>T8PS6OS6O<31>gPThQThRTiSTiTT<31>yxxzzzzzy=
<29\
  >llWkkUkkU<45>BPBAOAAOAAOA<3>9M9
  }

pebble4p           { ;  (c) Bill Decker Jan 03, 1999 t=3D  0:02:13.47
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-1.04982526055679900/+0.02567678695971272/105.0201/1/162=
.499
  params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/600=
/0
  colors=3D000500<7>100000000000<38>K00K00K00K10L20<38>cV0dW0dW1eX2<39>=
yyxzz\
  zzyz<39>g2Xf0Wf0W<39>N01M00M00L00<30>600
  }

talus-pebbles      { ;  (c) Bill Decker Jan 03, 1999 t=3D  0:02:21.49
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3D0bill.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-1.05119645670889500/+0.01473867280503022/45.16367/1/-13=
2.5
  params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/300=
/0
  colors=3D000202<22>E0EF0FF0FF0F<29>UUUVVVVVWWWXWWY<27>iiyjjzjjzkkz<30=
>zzzz\
  zzyyz<28>kkzkkzjjyjjx<28>WWWWWWVWVVWVVWV<26>HWHGVGGVGFUFFTF<27>111000=
000\
  000<2>202
  }

pebbles-wh2        { ;  (c) Bill Decker Jan 04, 1999 t=3D  0:02:26.33
                     ;  on P150 800x600
  reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm
  formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
  center-mag=3D-0.78550758907534370/-0.00005011653741778/695.1953/1/-17=
7.497
  params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/100=
0/0
  colors=3D0F0<68>zzzzzzzzy<43>hkYgjXgjXgjX<35>XaNXaNWaNWaNW`NV`M<6>S_L=
S_LS_\
  LS_LR_L<84>0F0
  }

frm:bills_xy-trade4  {
  a =3D real(p1), b =3D imag(p1)
  c =3D real(p2), d =3D imag(p2)
  e =3D real(p3), f =3D imag(p3)
  z =3D pixel+1/pixel
  zold =3D pixel^e:
  x =3D (real(z)-real(zold))^a
  y =3D (imag(z)-imag(zold))^b
  zold =3D z
  z =3D (y +flip(x))
  z =3D (fn1(z))^c - (fn2(zold))^d
  |z| < f
}

=



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-------------------------------------------------------------------------------

From: "Matthew Bennett" <bennett@btinternet.com>
Subject: Re: (fractint) Accuracy
Date: 06 Jan 1999 16:40:41 -0000

It depends, I think, partially on your drawing method.  If you choose the
"guessing" type (where the fractal appears to be "focused" in to a clear
picture) then I think there's the possibility all the pixels may not be the
exact correct colour.  However, choose the 1-pass option and I'm pretty sure
the fractal produced is perfect - regardless of zoom level.

Matt

-----Original Message-----


>Greetings...
>
>I have always heard that Fractint is blindingly fast
>compared to other such programs because it is
>based on integer math instead of floating point math.
>
>However, to do this it makes certain "approximations".
>
>Could this mean the results obtained are only
>"approximately" Mandlebrot, perhaps becoming
>more and more approximate as iterations and
>zoom levels increase???
>
>Are we looking at "true" fractals, or are we just
>doing dances with Wolves
>in Mandelbrot's clothing???
>
>(I shall now "duck and cover"!!!)
>
>Chris Springer
>
>
>--------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
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From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Accuracy
Date: 06 Jan 1999 11:15:11 -0600

Chris,

 - I have always heard that Fractint is blindingly fast
 - compared to other such programs because it is
 - based on integer math instead of floating point math.

Actually, these days FractInt is only moderately fast.  It's not the
fastest (I believe that prize currently goes to Fractal eXtreme) but it's
far from the slowest.

FractInt is as fast as it is for several different reasons, not just
integer math.  It's also fast because it takes advantage of fractal
symmetry (when it can), because it uses solid guessing to eliminate
calculating portions of the image, and because it uses periodicity checking
to detect periodic orbits early in the iterating sequence.

The idea behind using integer math is that it lets you work with 32-bit
precision instead of 64-bit precision.  Prior to the Pentium this was a big
win; 32-bit precision could be done with integers the core CPU could
handle, while 64-bit precision required using the (slow) FPU.  With the
Pentium, the FPU is fiendishly fast, and the advantage of using 32-bit
precision is gone.  In any case, using 32-bit precision does cause some
distortion when you zoom in far enough; FractInt automatically switches to
64-bit precision when necessary so you won't notice (usually).

Solid guessing is the progressive refinement process, but on each
refinement pass, FractInt checks each block to see if its neighboring
blocks are all the same color.  If they are, it stops refining that block.
This can eliminate a lot of calculations, although in the more detailed
areas it is less effective.  FractInt also offers boundary tracing, which
is a similar concept--outline areas of solid color, and don't calculate the
interior of those regions.

Periodicity checking is about paying attention to the iterations and
looking for periodic patterns.  Most of the points that do not bail out of
the M-set calculation fall into periodic orbits.  If these can be detected
at the start of the periodic cycle, then it is safe to skip the rest of the
iterations, since they will just produce repeating values.  This allows
interior regions to be calculated very quickly.

 - However, to do this it makes certain "approximations".
 -
 - Could this mean the results obtained are only
 - "approximately" Mandlebrot, perhaps becoming
 - more and more approximate as iterations and
 - zoom levels increase???

In one sense, every image is an approximation, since the precision of our
computers is always (at some point) limited.  Any algorithm or technique
used to avoid doing the actual work of generating a fractal will introduce
some errors, sometimes very subtle.  Solid guessing fails on thin strands
of detail.  Periodicity checking fails on spiral arms (since these often
exhibit periodic-like behavior before diverging).  And limited precision
produces blockiness when the error between the correct pixel coordinate and
its closest approximation in the limited precision becomes significant.

If you continued to zoom in FractInt without switching away from integer
math, you would certainly be getting a more and more distorted view of the
fractal.  Similarly, if you zoomed in on a spiral arm that was incorrectly
rendered because of periodicity checking, you would be getting a more and
more inaccurate view of the fractal.  Acceleration techniques are tools,
and knowing when to disable them is important if you are interested in
accurate fractals.

The fact that there is such close agreement between the "true" fractal
shape and the approximations provided by acceleration techniques is
precisely what makes them valuable.  If you have no confidence in limited
precision having any resemblance to the "true" fractal shape, I can explain
further.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "J.P. Louvet" <louvet@iuta.u-bordeaux.fr>
Subject: Re: (fractint) Accuracy
Date: 06 Jan 1999 19:29:16 +1

le  5 Jan 99 a 22:23, Jay Hill ecrivait (Jay Hill wrote) :

> Hi Christopher,
> 
> Fractint uses more floating point than you might think, 
> since the current Pentium processors have very fast 
> floating point math.  After you zoom into the Mandelbrot set 
> a certain amount you pass the limits of double precision 
> and Fractint switches to extended precision math. So you 
> can zoom into very high magnifications and get very 
> nice results.
> 
> Jay Hill
> ----------
It uses floating point if you select Floating point algorithm = yes in the 
Basic Options menu.
J.P. Louvet                | Phone :  (33)56-84-58-35
IUT Universite Bordeaux I  | email : louvet@iuta.u-bordeaux.fr
33405 Talence CEDEX France | email : louvet@hs-serveur.iuta.u-bordeaux.fr
Fractales sur serveur Web Universite Bordeaux I :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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-------------------------------------------------------------------------------

From: "Tim Wegner" <twegner@phoenix.net>
Subject: Re: (fractint) Accuracy
Date: 06 Jan 1999 19:01:52 -0600

Matt wrote:

> However, choose the 1-pass option and I'm pretty sure
> the fractal produced is perfect - regardless of zoom level.

You are correct as far as you go. The one pass option with 
symmetry=none and periodicity=0 is relatively accurate.

However, there are still two large inaccuracies.

1. The maxiteration limit has to be infinity for perfect accuracy. For 
any finite value of maxiter, it is possible that some points are "in 
the lake" that ought not be. For example, if the maximum iteration 
is set for 1000000 and a particular orbit has not escaped by then, 
the pixel is colored the "inside" color. But for all you know, the orbit 
was about to escape, and in fact would have escaped at iteration 
number 1000001. So that point is colored wrong. The "lake" is 
always slightly too big.

2. Computers can only represent complex numbers approximately. 
Even using arbitrary precision, the orbit is not absolutely correct. 
Some of the fractal algorithms are extraordinarily sensitive to very 
small changes and show this clearly. One example is popcornjul. I 
have been experimenting with this, and small differences in coding 
logic that, for example, cause an intermediate value to be truncated 
to 64 bits, can change many image colors.

Tim


Given these two facts, it is amazing how well computers do. Try 
the default mandelbrot using 1500 digits of arbitrary precision and 
with maxiter set to 32000 and see how different it looks. The 
answer is not very different!

Tim


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-------------------------------------------------------------------------------

From: davides <davides@pipeline.com>
Subject: (fractint) video card/makemig
Date: 07 Jan 1999 18:03:14 -0500

On attempting to make a large image (v window/300 x 300 or otherwise), "b"
command: 6 x 6 or otherwise (4 x 4 etc), goto main screen, shell to dos,
makemig, and now I have a large file. I see comments as it whizzes by about
not enough memory...at end, simplgif fractmig.gif <name>.gif I receive an
"oops, insufficent memory  (words to that effect). Is Fractint attempting
to tell me that I should maybe replace my S3 Vision864PCI with something
else? Or do I have another another problem? Any guesses?

Off topic and I do apologize for this...(and you wouldn't believe the story
behind why I am doing this...)
davides@pipeline.com
ds30@umail.umd.edu
Back up my hard drive?
How do I put it in reverse?

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-------------------------------------------------------------------------------

From: "Jacco Burger" <jaccobu@kabelfoon.nl>
Subject: (fractint) gallery update
Date: 07 Jan 1999 23:38:00 +0100

I recently finished making a new version of my web gallery, and
uploaded it yesterday.

I renamed it 'Jacco's Fractal Pages' because I discovered two other
Jacco's Homepages on the Internet.

Some changes and additions are:
I got rid of the frames and most of the non-fractal graphics (do I
hear 'Hurray!!' ?).
I added a gallery with new fractals, a page with my contest
submissions and another zip-file of color maps for Fractint.
Some of you already had a preview of the color maps.

The URL hasn't changed, it is still:
http://wwwserv.caiw.nl/~jaccobu/index.htm

I hope you will enjoy it and let me know what you think!
Bye!
Jacco



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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: Re: (fractint) gallery update
Date: 07 Jan 1999 19:02:50 EST


  Hi Jacco,

   Jim Weaver here.  Just saw your pages and wanted to tell you I really liked
them.  By the way....are you a Frank Zappa fan?? The reason I ask is a few of
your images have titles I recognize from his music. I have about 23 or so of
his vinyl albums that I've collected over the years. Too bad he isn't around
anymore.
   Anyway, great work on the site.

     Take care~

  Jim Weaver

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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) 13 pars
Date: 07 Jan 1999 19:06:40 EST


  Hi Folks,

    Here are a few more images from the last couple of days.

       Enjoy~

  Jim Weaver

******************************************************************************
**


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                     ; zmndl001.gif
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                     ; zmndl010.gif
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  invert=1/0.5/0 periodicity=0
  colors=000acaWZUQUN<2>9800006BKCJQJQVPY`TdfWklYsrYtsWlmUegQYaKRWEKQ8CK05\
  E000DAKGGOJKRMPUPTXTVYWXZWXZTWZ<2>KMS<2>B5G0004IL<2>HaULeXQh_UjbUjcQi`Mf\
  YIaVDXR<2>1BI0007KJDNQIPXNSbTTfYVjbVkcVkZVjTUgOSc<3>2HD7HBCNNITYNZfSdmXj\
  rbpubquYksTenN_gIUZDNP8HD2B1sZJuVN<12>Q53D0000A00PILYNOfTQmYSsbTwgUyhUyc\
  TwYSsTQnOOgJL_EIR8FH000JAPLHXMOdOUkQZqSbuTdwUdwSbuQ_rOVlNPfLJZJBQH3HF00S\
  76XACbCIgFOjIUhQ`iTfiTfhQ`fNVbLPZIJ<2>IA1000F57Q9C_CHhGMoKPtORwSSwSTuORp\
  LPjHMaDIS9DH58513000KEFVKHcPJlVLr_NwePyjRzkRxePs`NmVLeQJ<2>BAD000QOEZUPg\
  ZYncetilxnpzsrztsxoqtilodfh_Z`UQRPGIK60009MGHULPaQXgUclZkpcsrhtrhlqddm_X\
  hVQbQ<2>2FC000CFC<5>l`hm`h<6>7C7000JBCRMGXWKbcOgjQjoSlrTlrUkpThkRceOZXL<\
  2>D18000EE7KMEPTMVZT`b`ffglgolgpgfh
  }

Inverted08         { ; image(c)1999 JimWeaver  manlam(fn:fn)
t=02m44s@1024x768
                     ; zmndl013.gif
  reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
  center-mag=+5.43676662320729900/-0.00000000000000533/0.1972387/1/-90
  params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
  invert=1/0.9/0 periodicity=0
  colors=0009EQ<13>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>\
  zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo\
  `<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS
  }

Inverted09         { ; image(c)1999 JimWeaver  manlam(fn:fn)
t=02m41s@1024x768
                     ; zmndl014.gif
  reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
  center-mag=+4.33947848761407700/-2.88109481915934300/0.3472512
  params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
  invert=1/0.9/0 periodicity=0
  colors=0009EQ<13>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>\
  zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo\
  `<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS
  }


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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) Gallery Update
Date: 07 Jan 1999 19:50:53 -0500

Jacco - I visited your updated site & I like it very much.  I also
spotted the Frank Zappa inspired titles.  Could there be some bizarre
connection between enjoying Zappa's music and being interested in
fractals?  I've noticed a few fans on this list alone:-)  FZ would love
it--

Anyway, here's a par that may (or may not) have anything to do with
Zappa!


Regards, Paul DeCelle

******************************************************************

Standing_Waves     { ; A lesfrm34 image t=0:05:03
                     ; Paul DeCelle 1/7/99
reset=1960 type=formula formulafile=frac_ml.frm
formulaname=lesfrm34 function=sin/cosxx/exp passes=3
center-mag=0.39549/0.332018/7.248986/1/-90
params=2.71828182845905/0.44/3.14159265358979/0.032
potential=255/200/0
colors=dtyqzy<13>hvzgvzfuyfuyetycty<10>VnuVmuUltTktSks<9>LcnKcnJbmJalI`k\
H_k<16>7NZ6MY6MX6MX<10>1EP1DO1DN1CN1BM<7>07G06F06F06E<7>029029128128117<\
7>304403403502502<3>701701801900<11>G30H30H30I40J40J51<4>N72O82P82P82Q92\
RA3<7>XE6YF6ZG7_H7_H8<14>kTHkUIlUIlVJmWK<14>ufVvgWvgXvhY<5>ylaymbyncyndy\
oe<2>zpfzqgzqhzrizri<4>zumzvnzvnzvo<6>yysyysyytxytxyu<2>wzuvzvvzvvzwuzw<\
2>tzytzyszyszyrzyrzyqzy
}

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-------------------------------------------------------------------------------

From:	"Fliguer, Miguel" <M_Fliguer@miniphone.com.ar>
Subject: RE: (fractint) Gallery Update
Date: 08 Jan 1999 10:17:47 -0300 

Paul DeCelle wrote :

>>> Could there be some bizarre connection 
>>> between enjoying Zappa's music and being 
>>> interested in fractals?  I've noticed a few fans 
>>> on this list alone:-)  FZ would love it--

One more reason to love this list !

Yes, there is a connection. Zappa's music, just like a well crafted
fractal, is beautiful, complex, sometimes chaotic, and it reveals 
more beautiful layers when you dig (or zoom) a bit.

So far the detected Zappa fans at this list are Jim Weaver, 
Jacco Burger, Paul DeCelle and myself. Not bad, not bad....

Incidentally, I'm a member of one of the thousands of groups
trying to crack the RC5-64 key. And our group is called, you
guessed it, "alt.fan.frank-zappa RC5-64 Crack Decryption Squad"
So there should be another strange connection...
 
And BTW, I'm still working on my FZ Memorial Fractal Page
(to be displayed at my Franktal site), I'll make the announcement
when it's finished. Meanwhile, enjoy these ZappaPars ;-)

swami		{; Who you jivin' with that Cosmik Debris ?
		 ; from the FZ Memorial Fractal Page
		 ; by Miguel Fliguer - 1999 
  reset=1960 type=tim's_error function=tan
  center-mag=-1.0642/-0.0273895/1.223492/1/90 params=1/0
  bailoutest=imag potential=255/240/0
 
colors=222323545<18>OMTQNVPMU<17>B4DA3CB4D<10>VFOXGP_HRbHSeIUdKTbNS<7>f6
\
 
Og3Nf3N<6>X4GV5FV5F<6>a3Fb2Eb4G<6>iLWjOZjOY<7>cIQ<7>jghkkkjhf<6>cO8bL2`K
\
 
3<7>H7E<5>`WVc`Yfd`jicifa<6>bKK`GHYGH<3>448227<7>QQVUTZWUZ<7>nia<8>EAA<8
\
 
>F23F23E23<5>A55966855622<8>ZAB<8>EA6<6>LA9MAANABOBCQDD<5>_PJaRKbRJ<6>lX
\
  6nY4mY6<4>gVG434 cyclerange=2/255
  }

Pink_Napkins	{; from the FZ Memorial Fractal Page
		 ; by Miguel Fliguer - 1999
  reset=1960 type=formula formulafile=miguel.frm formulaname=zappa-1
  function=sin/exp
 
center-mag=-0.37849950750000000/+0.10243439650000000/1342.673/0.9995/12.
\
  171 potential=255/50000/0
 
colors=000mYT<22>bAI000<37>J7aK8bL8cM8dM8fN8gO9i<10>O9aO9`O9`O9`<9>K9XJ8
\
 
XJ8WI8V<26>112000000<27>325436534423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdW
\
  JfXJ<4>n`IoaIn`I<16>Y54X33Y65<13>skYuo`un`<14>mZT
  }

frm:zappa-1 {; by Miguel Fliguer 
z=c=pixel:
x=z*pixel+c
y=c*pixel+z
IF ( |x| > |y| )
   z = fn1(x)-fn2(y)
   ELSE
   z = fn1(fn2(x-y))
ENDIF
|z|<4
}


Regards,
Miguel Fliguer - Buenos Aires, Argentina
Franktal Gallery - Shut Up And Draw Yer Fractals
http://members.xoom.com/fliguer/franktal.html



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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: (fractint) The best band ...
Date: 08 Jan 1999 11:07:59 -0300

Hi, guys,

I'm sorry I can't do my own fractals as well (I assure you that soon they
will be in your screens), but I'm a Frank Zappa's fan too. By now, I'm
looking at your fractals and as Miguel Fliguer said, the connection betwe=
en
complexity in both fractals and Frank's music is, excuse my words,
outstanding and amazing. Paul, I'm sure FZ would love it... He does fract=
al
music, doesn't he?

________________________________
Alejandro Gustavo Kainer
Sirti Argentina S.A.
Hip=F3lito Irigoyen 4848
(1602) - Florida - Bs.As.
ARGENTINA
Tel: (54)-1-760-0061 - Int. 1417 / 1418
Fax: (54)-1-760-0095
e-mail: alejandro.kainer@usa.net
________________________________


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-------------------------------------------------------------------------------

From: Baxter Tocher <baxter@trance.ednet.co.uk>
Subject: Re: (fractint) Gallery Update
Date: 08 Jan 1999 18:45:21 +0000

"Fliguer, Miguel" wrote:

> >>> Could there be some bizarre connection
> >>> between enjoying Zappa's music and being
> >>> interested in fractals?  I've noticed a few fans
 
> One more reason to love this list !
> 
> Yes, there is a connection. Zappa's music, just like a well crafted
> fractal, is beautiful, complex, sometimes chaotic, and it reveals
> more beautiful layers when you dig (or zoom) a bit.

Very nicely put, Miguel, and it looks like an appropriate moment for
this lurker to say "hello" to the list! I'm a big fan of both FZ as well
as fractals.

I've been dabbling with fractals for a few years now, firstly on the
Atari ST, then on the Amiga (using an earlier version of Fractint
amongst others), and now on the PC with Windows 95 (and soon with Linux
once I get Fractint working properly there!).

I've still a lot to learn about what the program can do; you are all
finding some truly beautiful images and writing some wonderful formulae.

Nearly forgot - my first two pars. I'll post more when I know a bit more
about what I'm doing :)

NEONJLRY           { ; "Neon Jewellery"                     t= 
0:00:12.36
                     ; t=calc time [h:mm:ss.] using a P150 at
800x600     
                     ; based on "Pinwheel" by Les St Clair
                     ; e-mail to: baxter@trance.ednet.co.uk
  reset=1960 type=formula formulafile=chby1.frm formulaname=s03-01
  passes=1 center-mag=1.33227e-015/-1.33227e-015/0.5324087
  params=3.14159265358979/0.7 float=y maxiter=255 inside=bof60
  decomp=256
 
colors=I1B<4>Z1Bb2Cf1A<4>z00<8>zs0zv0zs0<7>z00<8>S2HO2JM2I<12>000<10>O2J\
 
<8>31a00d04f<8>0cz<7>05g00d20b<8>O2J<12>101201<8>M2HO2JS2H<8>z00<8>zs0zv\
 
0zs0<7>z00<9>O2J<2>K2FI2EG2DE2BD2A<5>212000000<4>D1AF1CH1DJ1FM2HO2JK2LK2\
  N<6>30b00d04f<8>0cz<7>05g00d20b<8>O2J<13>000<4>A07C19D19D1AE1B
  }

SERPENTR           { ; "Serpent Ring"                       t= 
0:00:21.70
                     ; t=calc time [h:mm:ss.] using a P150 at
800x600     
                     ; based on "Pinwheel" by Les St Clair
                     ; e-mail to: baxter@trance.ednet.co.uk
  reset=1960 type=formula formulafile=chby1.frm formulaname=s03-01
  passes=1 center-mag=8.04912e-016/-9.99201e-016/9.210343/1/22.5
  params=3.14159265358979/0.7 float=y maxiter=128 inside=bof61
  invert=0.0215459539510404/0/0 decomp=256
 
colors=HGN<4>JIPKJPLKQMLR<32>jghjghkhikhilij<3>nklnklmjm<20>X7KW5JV3HU1F\
 
<6>L3MK3NI3M<6>31F00E02F<6>4KT5NV5PV<4>2YV<8>RedUfeVfe<29>ttjuukttjrriqq\
 
hqqh<2>nlfmjekgc<2>dXZaTXYNU<3>K0KK0K<2>F4KE5KD5K<3>85K66J55I<3>22G11F11\
 
F11F<7>33I33I44J55J55K<4>CCODDPFFR<3>MMWNNXQQZ<2>WWcZZd``fccheej<2>nnppp\
  rttuttupprllojhlffjcch<6>UU_SSZQQWQQW<4>KKQIIPHHOFFMFFM<6>GGN
  }

frm:S03-01(Origin){;V.1.0 - earlier versions may be discarded
; = zS02-S01
t=p1,bailout=4,z=pixel:
x=real(z),y=imag(z)
Tx=x*(x*x-2)
Ty=y*(y*y-2)
x=x-t*Ty,y=y+t*Tx
z=x+flip(y)
|z|<=bailout}

-- 

Baxter

baxter@trance.ednet.co.uk


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-------------------------------------------------------------------------------

From: "Jacco Burger" <jaccobu@kabelfoon.nl>
Subject: (fractint) We're only in it for the fractals
Date: 08 Jan 1999 21:27:32 +0100

When I first tried to think of names for my fractals I really had no
inspiration. I didn't want to give them those often used names like
'Neon Spiral' or 'Blue Mandelbrot' or 'Red Alien', but I couldn't
think of anything better either...

So one day I was sitting, staring at one of my fractals on my
computerscreen, thinking and thinking: how should I call this one? At
that moment I had a record of Frank Zappa playing, and I heard him
singing: "In the dangerous kitchen..... if it ain't one thing it's
another...." and I thought: that's it! So I started reading the
sleeves of all the LP and CD records I had, and that is how many of my
fractals got their names.

So if you take a good look at my fractal gallery you might also find
some songtitles from other bands and musicians. I am not going to
spoil the fun by telling which ones they are, that is for you to
discover.

A source of inspiration for exotic fractal names are dictionaries of
foreign languages. The dictionary also provides you very conveniantly
with the meaning of the word so you can be sure you are not using
offensive words. This can be tricky, though! I know for instance that
some very ordinary Dutch words sound very rude to Polish people....

Another way of finding names is fun and very easy. Just show a fractal
to somebody, preferably a child, and ask: "what does this look like?".
You will be surprised! At least 3 of my fractals got their names this
way.

Actually, I am thinking of adding some of this kind of information to
my fractals on my webpages. I will let you know in time.

I am very curious about other people's sources for names. Anyone who
would like to tell about it?

Bye!
Jacco
webgallery: www.caiw.nl/~jaccobu



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-------------------------------------------------------------------------------

From: "Ricardo M. Forno" <rforno@afip.gov.ar>
Subject: (fractint) Fractal names
Date: 08 Jan 1999 17:42:13 -0300

Jacco:
I sometimes use names from my classical music CD collection. Once, for
example, I named one of them 'Sprotar', an Icelandic word of which I do not
know the meaning yet, but surely it is not offensive.

Ricardo.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Naming fractals
Date: 08 Jan 1999 14:45:42 -0600

Jacco,

 - I am very curious about other people's sources for names. Anyone who
 - would like to tell about it?

Normally I just look at the fractal and think of what it reminds me of.
That probably accounts for most of the lame names I've used. :-)  Often
while exploring I will see a shape that makes me think of something, and
I'll refine the image in that direction to make it fit the name.  Sometimes
I'm just totally stumped; at that point, I turn to a few friends for help.
I do have one friend who has named several fractals who doesn't know much
about fractals at all (just that he likes them).  And sometimes it just
helps to have someone else look at the images, so that you get a fresh
perspective.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Damascena@aol.com
Subject: Re: (fractint) We're only in it for the fractals
Date: 08 Jan 1999 16:38:36 EST

In a message dated 1/8/99 12:32:40 PM Pacific Standard Time,
jaccobu@kabelfoon.nl writes:

> I am very curious about other people's sources for names. Anyone who
>  would like to tell about it?

Some I name for friends, some for mythological characters, some for my own
transient thoughts......

You mentioned using words in other languages. I just found a wonderful site
for that, which provides links to languages most of us have never even *heard*
of, for translation and even on-line language lessons:

http://www.elite.net/~runner/jennifers/languag2.htm

BTW I have a Frank Zappa for President tee-shirt.....count me in :)

Dama
 

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-------------------------------------------------------------------------------

From: Paul Derbyshire <pderbysh@usa.net>
Subject: Re: (fractint) We're only in it for the fractals
Date: 08 Jan 1999 17:16:30 -0500

At 04:38 PM 1/8/99 EST, you wrote:
>In a message dated 1/8/99 12:32:40 PM Pacific Standard Time,
>jaccobu@kabelfoon.nl writes:
>
>> I am very curious about other people's sources for names. Anyone who
>>  would like to tell about it?
>
>Some I name for friends, some for mythological characters, some for my own
>transient thoughts......

I invent names for mine. If you see "Teralla" or "Krenias" or something
similar in an online dictionary it is entirely coincidental.

>You mentioned using words in other languages. I just found a wonderful site
>for that, which provides links to languages most of us have never even
*heard*
>of, for translation and even on-line language lessons:
>
>http://www.elite.net/~runner/jennifers/languag2.htm

Thanks! Might be interesting and/or useful. :-)

>BTW I have a Frank Zappa for President tee-shirt.....count me in :)

How about Gillian Anderson for president-ess?
(I don't think there's ever been a red-head in office in the western
world.... let alone a lady one.)
-- 
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
-()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     pderbysh@usa.net
Programmer & Humanist|ICQ: 10423848|

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-------------------------------------------------------------------------------

From: BillatNY@aol.com
Subject: Re: (fractint) video card/makemig
Date: 08 Jan 1999 19:27:04 EST

Davides,

I have also run into this problem.  Instead of shelling to DOS,  restart the
computer in MS-DOS mode. (I am assuming here that you have Windows 95.)  Then
you should be able to run Makemig with no trouble.

Bill

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) We're only in it for the fractals
Date: 08 Jan 1999 19:51:49 EST

In a message dated 01/08/1999 12:32:40 PM Pacific Standard Time,
jaccobu@kabelfoon.nl writes:

<< I am very curious about other people's sources for names. Anyone who
 would like to tell about it? >>

how about http://members.aol.com/vbolug/fractal.htm.  Here is where various
people get to give them names in a contest format.  Amazing to see how many
different people think in naming a fractal.  Sparks the creative process.

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) Gallery Update
Date: 08 Jan 1999 21:19:52 -0500

Hi, Everyone--

Miguel Fliguer wrote:

>Yes, there is a connection. Zappa's music, just like a well crafted
>fractal, is beautiful, complex, sometimes chaotic, and it reveals 
>more beautiful layers when you dig (or zoom) a bit.



Miguel makes a good point - I never really thought about it that way,
but it does make a lot of sense..

Damascena, About that tee shirt - he'd certainly do a better job of it
than the one we have now.  Wear it with pride!

In keeping with the theme, here's a par from the Zappa_1 formula Miguel
posted earlier today - Took more than 30 minutes on my P60, but worth
the wait..  Oddly, activating floating point caused the fanlike
structures to disappear, resulting in a very different image.  Anyone
know why?

Regards, Paul DeCelle



Fossil_Floss       { ; A Fossilized Dental Floss Bush
                     ; From the Zappa-1 formula t=30+min P60
                     ; Paul DeCelle 1/8/98
reset=1960 type=formula formulafile=*.frm formulaname=zappa-1
function=tan/tanh passes=1
center-mag=-0.21433481550000000/+0.50233301550000000/94.35625/0.9997/-85\
.174 potential=255/50000/0
colors=00504B<2>029029128128117<2>216EEF<114>wvywvywvywvywvy<24>wvyvuxvu\
xutwutw<67>MILLHKMIL<21>mkn00305C04C
}

frm:zappa-1 {; by Miguel Fliguer 
z=c=pixel:
x=z*pixel+c
y=c*pixel+z
IF ( |x| > |y| )
   z = fn1(x)-fn2(y)
   ELSE
   z = fn1(fn2(x-y))
ENDIF
|z|<4
}

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: Re: (fractint) Gallery Update
Date: 08 Jan 1999 21:58:29 -0500

Baxter Tocher wrote:

> I'm a big fan of both FZ as well as fractals.

:-)  :-)

> Nearly forgot - my first two pars. I'll post more when I know a bit more
> about what I'm doing :)
> 
Welcome, Baxter!  Very nice images.  Just took a little text editing to
format them for Fractint.  I find that (using Netscape and Notepad,
anyway), if I delete any open spaces at the beginning of each line of
the par where the parameters and color info is contained before I send,
it transmits true.  You can check by opening your posting after you've
sent it by opening it from the "Sent" folder.  Other browsers probably
have similar features.. 

I look forward to seeing more of your work..

Regards, Paul DeCelle

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: Re: (fractint) We're only in it for the fractals
Date: 08 Jan 1999 22:26:05 -0500

PKyleCA@aol.com wrote:
> 
> how about http://members.aol.com/vbolug/fractal.htm.  Here is where various
> people get to give them names in a contest format.  Amazing to see how many
> different people think in naming a fractal.  Sparks the creative process.


I checked this out - A pretty nice site.  I entered a vote, but my
e-mail was returned "undeliverable" with the following:

>The line beginning with "<<<" describes the specific reason your e-mail could
>not be delivered.  The next line contains a second error message which is a
>general translation for other e-mail servers.

<<< 550 VBOLUG IS NOT ACCEPTING MAIL FROM THIS SENDER

It's an AOL address; It may only be intended for AOL members..  Anyone
else experience this?

Regards, Paul DeCelle

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-------------------------------------------------------------------------------

From: Christopher Springer <santini@home.com>
Subject: (fractint) Infinity and All Things
Date: 08 Jan 1999 19:57:49 -0800

Hi Everyone...

We have all heard that a Fractal is Self-Similar
(but not Self-Identical) at increasing magnifications.

This means adjacent consecutive magnification levels
are not identical. Maybe very close, but not identical.

But might a (perhaps very long) sequence of such adjacent
levels not Start and End with Self-Identical shapes???

If so, perhaps this sequence may repeat indefinitely in what
I would call a "linear" manner. This is comparable to leaving
your home for a walk and always taking the same route and
then returning. This is the "First Possibility".

The "Second Possibility" is that the second sequence may traverse
different shapes than the first yet still return to the identical
"Starter/Ender" pattern in what I would call a "rooted" wave pattern.
This is comparable to leaving your home for a walk and taking a
different route each time but always returning to the "home"
location (location=pattern).

The "Third Possibility" is the zoom changes are in no way repetitive
but are open ended, ever changing and ever different.

Now, since the Fractal zoom levels continue without end, then
if the First Possibility applied, only a finite number of shapes
would be generated.

But, if the Second or Third Possibilities applied, an Infinite number
of shapes would be generated. This means the sum total of
"All Possible Shapes" which COULD be generated, percieved or
imagined would be generated by...

Mandelbrot to power 2
Mandelbrot to power 3
Mandelbrot to power 4... etcetera, etcetera and so forth.

So, somewhere deep within EACH Mandelbrot lurks
not only a Mona Lisa, but the entire Works all of ALL
the Artists who have ever been and will ever be...
PLUS a fair bit of just plain gobbledegook.

These same images (the "Infinite Set") would arise from
ALL Mandelbrots, regardless of to what power. So, at
"Infinity", the outputs generated by ALL Fractal types,
to whatever power, becomes the same, namely "every
shape that can possibly be". Strange!!!

There is of course one possible fly in the ointment of this
Fanciful Flight to Fractal Infinity...

If the successive zoom differences gave increasingly smaller
pattern differences such that these tinier amd tinear differences
asymtopically approaches zero... never ceasing to change,
but with changes becoming literally infinitesimally small...
then, no more Mona Lisa.

So, what do you folks, many much brighter than me, think???
Or does this kind of thing just give you a headache?

Christopher Springer


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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Infinity and All Things
Date: 08 Jan 1999 22:20:11 -0700 (MST)

On Fri, 8 Jan 1999, Christopher Springer wrote:

> The "Third Possibility" is the zoom changes are in no way repetitive
> but are open ended, ever changing and ever different.

To my understanding, this is the case.  Each "midget" is slightly warped
with respect to the main cardioid; the relative warping is different for
each midget.

> So, somewhere deep within EACH Mandelbrot lurks
> not only a Mona Lisa, but the entire Works all of ALL
> the Artists who have ever been and will ever be...
> PLUS a fair bit of just plain gobbledegook.

This is a common mistake, confusing "infinite" with "containing
everything".  The Mandelbrot set truly is infinite, that is, going on (in)
forever, but it certainly doesn't contain everything.  It's similar to a
sequence of numbers.  Consider any infinite sequence of the digits 0-9.
No matter what sequence you choose or how long you look, you'll never find
the sequence "THIS SPACE FOR RENT" in the sequence.  In the same vein,
you'll not find a Mona Lisa in the Mandelbrot set.

Kerry Mitchell



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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) We're only in it for the fractals
Date: 09 Jan 1999 00:49:41 EST

In a message dated 1/8/99 7:24:01 PM Pacific Standard Time, PaulDC@prodigy.net
writes:

<< >The line beginning with "<<<" describes the specific reason your e-mail
could
 >not be delivered.  The next line contains a second error message which is a
 >general translation for other e-mail servers.
 
 <<< 550 VBOLUG IS NOT ACCEPTING MAIL FROM THIS SENDER
 
 It's an AOL address; It may only be intended for AOL members..  Anyone
 else experience this? >>

Try again.   AOL has its peak times where it tends to do this.

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-------------------------------------------------------------------------------

From: "Jon Camp" <jon.camp@valpo.edu>
Subject: Re: (fractint) Infinity and All Things
Date: 08 Jan 1999 22:37:25 -0800

But what if we took at, say, pi. Some where in the sequence of digits we
will find a representation of the words "This space is for rent" i.e.. 20 08
09 19 19 16 01 03 05 .....
If we digitized the Mona Lisa into say 100 colors, and then made a sequence
out of the picture, line by line, we would have a finite sequence that would
have to exist inside of an infinite sequence. Could not the same thing be
said about a fractal? If we take a line straight across a given fractal and
obtain a sequence of numbers, won't there be an infinite number of possible
sequences? Just my thoughts.... :)

Jon Camp
Valparaiso University
chaotic n-space network
http://www.valpo.edu/home/student/jcamp/fractals_gate.html


-----Original Message-----


>On Fri, 8 Jan 1999, Christopher Springer wrote:
>
>> The "Third Possibility" is the zoom changes are in no way repetitive
>> but are open ended, ever changing and ever different.
>
>To my understanding, this is the case.  Each "midget" is slightly warped
>with respect to the main cardioid; the relative warping is different for
>each midget.
>
>> So, somewhere deep within EACH Mandelbrot lurks
>> not only a Mona Lisa, but the entire Works all of ALL
>> the Artists who have ever been and will ever be...
>> PLUS a fair bit of just plain gobbledegook.
>
>This is a common mistake, confusing "infinite" with "containing
>everything".  The Mandelbrot set truly is infinite, that is, going on (in)
>forever, but it certainly doesn't contain everything.  It's similar to a
>sequence of numbers.  Consider any infinite sequence of the digits 0-9.
>No matter what sequence you choose or how long you look, you'll never find
>the sequence "THIS SPACE FOR RENT" in the sequence.  In the same vein,
>you'll not find a Mona Lisa in the Mandelbrot set.
>
>Kerry Mitchell
>
>
>
>--------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
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>Unsubscribe:    majordomo@lists.xmission.com "unsubscribe fractint"
>


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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Infinity and All Things
Date: 08 Jan 1999 23:59:51 -0700 (MST)

On Fri, 8 Jan 1999, Jon Camp wrote:

> But what if we took at, say, pi. Some where in the sequence of digits we
> will find a representation of the words "This space is for rent" i.e.. 20 08
> 09 19 19 16 01 03 05 .....

Strictly speaking:  probably, but not necessarily.  If pi is what is
called a "normal" number, then its decimal representation contains all
finite strings of the digits 0-9.  However, pi's normality has not yet
been proven.  But more generally, there are infinite, non-repeating
numbers that won't contain even your decimal representation of "This space
is for rent", such as the number 0.10010000100000000100000000000000001...

> If we digitized the Mona Lisa into say 100 colors, and then made a sequence
> out of the picture, line by line, we would have a finite sequence that would
> have to exist inside of an infinite sequence. Could not the same thing be
  ^^^^ 
      No--just because a sequence is infinite, that doesn't mean that it
necessarily contains all finite sequences.

> said about a fractal? If we take a line straight across a given fractal and
> obtain a sequence of numbers, won't there be an infinite number of possible
> sequences?

If you go to digitizing the Mona Lisa, then I'm sure you could find it
somewhere in the Mandelbrot set with some suitable transformations.  But
that would border on tweaking the answer to fit the problem, rather than
truly finding another image in an infinite fractal.

These are subtle points, and I don't mean to stomp on your thoughts, just
help clarify them.

Kerry

Kerry Mitchell
lkmitch@primenet.com    www.primenet.com/~lkmitch/


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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) video modes
Date: 09 Jan 1999 02:04:20 -0500

I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution i=
s
1600x1200x256. How do I get this resolution in Fractint?

BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument =
on
infinity. I was going to send in something like that, but I couldn't have=

said it better than you! BTW, has anyone ever tried to categorize these
distortions? And is the set of midgits countable?

Collin Merenoff

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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) video modes
Date: 09 Jan 1999 00:16:51 -0700 (MST)

On Sat, 9 Jan 1999, Barry N Merenoff wrote:

> I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
> Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution is
> 1600x1200x256. How do I get this resolution in Fractint?

Have you tried the mode that Sylvie Gallet wrote?  It's for a Matrox
Millenium 1600x1200, but it may work.
 
> BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument on
> infinity. I was going to send in something like that, but I couldn't have
> said it better than you! BTW, has anyone ever tried to categorize these
> distortions? And is the set of midgits countable?

Thanks for the kind words.  I was able to respond like that because I had
the same question years ago and got the same response.  Likewise, I argued
that the set of midgets was uncountable, and was quite resoundly
corrected.  The short answers seem to be:  1) to every midget, a rational
number can be assigned.  Thus, the set is countable.  2) Since every
midget has an area, the set must be countable since the whole collection
fits within the circle of radius 2.

Regarding the distortions, several years ago, Michael Frame (of Union
College) and I wrote a paper about the distortions within a particular
midget, as opposed to distortions of the midgets (I mention this because I
think there may be some similarity).  The disks along the boundary of the
cardioid of a midget are located and sized according to a simple general
rule.  However, the actual disks are distorted slightly from this rule.
The distortions are distributed "fractally".  That is, when plotting the
distortions, a "fractal" results.  The quotes are required because the set
of distortions is a countable set, and thus cannot be a true fractal.
Anyway, I wouldn't be surprised to see that midget distortions were also
"fractally" distributed.

Kerry


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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) video modes
Date: 09 Jan 1999 00:16:51 -0700 (MST)

On Sat, 9 Jan 1999, Barry N Merenoff wrote:

> I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
> Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution is
> 1600x1200x256. How do I get this resolution in Fractint?

Have you tried the mode that Sylvie Gallet wrote?  It's for a Matrox
Millenium 1600x1200, but it may work.
 
> BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument on
> infinity. I was going to send in something like that, but I couldn't have
> said it better than you! BTW, has anyone ever tried to categorize these
> distortions? And is the set of midgits countable?

Thanks for the kind words.  I was able to respond like that because I had
the same question years ago and got the same response.  Likewise, I argued
that the set of midgets was uncountable, and was quite resoundly
corrected.  The short answers seem to be:  1) to every midget, a rational
number can be assigned.  Thus, the set is countable.  2) Since every
midget has an area, the set must be countable since the whole collection
fits within the circle of radius 2.

Regarding the distortions, several years ago, Michael Frame (of Union
College) and I wrote a paper about the distortions within a particular
midget, as opposed to distortions of the midgets (I mention this because I
think there may be some similarity).  The disks along the boundary of the
cardioid of a midget are located and sized according to a simple general
rule.  However, the actual disks are distorted slightly from this rule.
The distortions are distributed "fractally".  That is, when plotting the
distortions, a "fractal" results.  The quotes are required because the set
of distortions is a countable set, and thus cannot be a true fractal.
Anyway, I wouldn't be surprised to see that midget distortions were also
"fractally" distributed.

Kerry


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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) 3D overlay par
Date: 09 Jan 1999 04:13:57 EST



  Hi All,

     Here is my first attempt at making a parfile for a 3d overlay image.
It's nothing special but I thought I'd post anyway, just in case someone
hasn't seen how to batch a 3d pic yet. More to come later.

       Enjoy~

  JimWeaver

*************************************************



barneps5.gif       { ; image(c)1999 Jim Weaver   (save this image 1st)
t=46sec+
  reset=1960 type=barnsleym1 passes=t
  center-mag=0.627662/1.28824/27.70908/1/105 params=-0.9/0 float=y
  maxiter=255 bailoutest=imag inside=epsiloncross outside=atan
  invert=1/0.9/0 periodicity=0 savename=barneps5.gif
  colors=000423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdWJfXJ<4>n`IoaIn`I<16>Y54\
  X33Y65<13>skYuo`un`<4>riYqhYogX<31>221000101<17>J4AK4AL4BM5BN6BP7B<26>xd\
  EzfFyeF<28>K7CI5BH5A<2>E4873D<9>112000000<27>325436534
  }

stars(background)  { ; image(c)1999 Jim Weaver                                
                     ; use @ and run 3d_operation after this image has drawn
  reset=1960 type=mandelcloud passes=t
  center-mag=-0.16435972629521090/+0.00000000000000663/1.063499/1.0633/-46\
  .153/11.286 params=35 float=y maxiter=1000 periodicity=0
  colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\
  OSSSWWW___ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zV\
  z<3>zVV<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00\
  S<3>S0S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2\
  >EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3\
  >G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG\
  8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2\
  >BGFBGGBFGBDGBCG000<6>000
  }

3d_operation       { ; image(c)1999 Jim Weaver    Enjoy!                  
                     ;  
  3d=overlay filename=barneps5.gif scalexyz=100/100 roughness=0
  waterline=0 transparent=6/6 ambient=20 rotation=0/0/0 perspective=0
  xyshift=0/0
  colors=000NJE<13>000<18>J4AK4AL4BM5BN6BP7B<26>xdEzfFyeF<28>K7CI5BH5A<2>E\
  4873D<9>112000000<27>325436534423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdWJfX\
  J<4>n`IoaIn`I<16>Y54X33Y65<13>skYuo`un`<4>riYqhYogX<17>OKF
  }




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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) video modes
Date: 09 Jan 1999 06:30:23 -0500

Thanks for the suggestions, but I've tried Sylvie Gallet's mode -- and Da=
n
Paccaloni's mode. They both give an error message. I've also tried variou=
s
ways of adding my own mode in FRACTINT.CFG, but it either draws in the
wrong places or freezes. I think the way to do it will involve modifying
the source code, but I'll need a little help with this.

Collin Merenoff

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-------------------------------------------------------------------------------

From: Paul Derbyshire <pderbysh@usa.net>
Subject: Re: (fractint) video modes
Date: 09 Jan 1999 08:00:56 -0500

The set of midgets is countable... for each period from 1 upwards there is
a finite collection of midgets whose cardioid has this period. Thus the
midgets comprise a countable union of finite sets, whichis countable.
-- 
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
-()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     pderbysh@usa.net
Programmer & Humanist|ICQ: 10423848|

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) video modes
Date: 09 Jan 1999 08:33:52 -0500

Hi Collin,

>> Thanks for the suggestions, but I've tried Sylvie Gallet's mode -- and=

>> Dan Paccaloni's mode. They both give an error message. I've also tried=

>> various ways of adding my own mode in FRACTINT.CFG, but it either draw=
s
>> in the wrong places or freezes.

  Download the following file from my web site:

    http://ourworld.compuserve.com/homepages/Sylvie_Gallet/vesa2cfg.zip

  Run vesa2cfg.exe and email me the file qpv.cfg it will create.

  Cheers,

        - Sylvie

 E-mail:
   Sylvie_Gallet@CompuServe.com
 Visit my exhibit at Museum of Computer Art:
   http://www.dorsai.org/~moca/
 My Fractal Galleries:
   http://spanky.triumf.ca/www/fractint/sylvie/gallet.html
   http://ourworld.compuserve.com/homepages/Sylvie_Gallet/homepage.htm

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-------------------------------------------------------------------------------

From: "Jason Hine" <tumnus@together.net>
Subject: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 12:13:55 -0500


-----Original Message-----


>On Fri, 8 Jan 1999, Jon Camp wrote:
>
>> But what if we took at, say, pi. Some where in the sequence of digits we
>> will find a representation of the words "This space is for rent" i.e.. 20 08
>> 09 19 19 16 01 03 05 .....
>

and on 1/9, Kerry replied:
>
>Strictly speaking:  probably, but not necessarily.  If pi is what is
>called a "normal" number, then its decimal representation contains all
>finite strings of the digits 0-9.  However, pi's normality has not yet
>been proven.  But more generally, there are infinite, non-repeating
>numbers that won't contain even your decimal representation of "This space
>is for rent", such as the number 0.10010000100000000100000000000000001...

For a good, concise, and simple description of this problem, check out:

http://www.ast.univie.ac.at/~wasi/PI/pi_normal.html

>
>> If we digitized the Mona Lisa into say 100 colors, and then made a sequence
>> out of the picture, line by line, we would have a finite sequence that would
>> have to exist inside of an infinite sequence. Could not the same thing be
>  ^^^^
>      No--just because a sequence is infinite, that doesn't mean that it
>necessarily contains all finite sequences.
>
>> said about a fractal? If we take a line straight across a given fractal and
>> obtain a sequence of numbers, won't there be an infinite number of possible
>> sequences?
>
>If you go to digitizing the Mona Lisa, then I'm sure you could find it
>somewhere in the Mandelbrot set with some suitable transformations.  But
>that would border on tweaking the answer to fit the problem, rather than
>truly finding another image in an infinite fractal.

Kerry's right... this is tweaking the answer to fit the problem, but if the
tweak results in the appearance of meaningful relationships between answers,
then it might just be a good idea.  For example, if the same coding method were
applied to the name "Leonardo DaVinci" and to the Mona Lisa, and the resulting
encoded number sequences were found in close proximity (or intermingled?) within
pi, it might make us go "hmm."  And if that same coding method had similar
results when applied to other situations, and a recognizable pattern began to
appear in the relationships of the encoded number sequences within pi, it might
make us go "hmm!"

If what's being proposed is possible at all, I kinda doubt we're going to reason
our way to the correct "coding method"...  things in our universe might be
encoded/contained within the structure of the Mandelbrot set in a number of
different ways; perhaps in the relative angles and lengths of different
filaments, the relative position and orientation of baby brots, the relative
"roughness" (read: fractal dimension) of a filament or baby brot at a given
resolution/magnification... lotsa parameters to play with here!  And might we
need to consider the hypercomplex Mandelbrot?  I personally believe some good
stuff along these lines await those willing to explore the possibilities.

And now for a par >:')

monalisa  { ; Time: 462.5 hrs on
                  ; a PII266
                  ; 144 decimal places
reset=1960 type=mandel passes=1
center-mag=-0.22563063284104807566410639404\
69227820046699558432459993619\  678982729428177074751376141733506809848938\
929300302683606404912778251442\
30441208847849/0.81188676437233157170463228\
83932476187633796780685500735\
668701233494887105445128647138527626138028\
567972428051471821127845598201\
 48238895886674325/5.5406e+138/1/47.704 params=0/0 float=y
maxiter=63031 logmap=34831 colors=@webdeep5.map
}




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-------------------------------------------------------------------------------

From: "Jason Hine" <tumnus@together.net>
Subject: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 12:21:47 -0500

Oops,

I forgot to record colors!
>maxiter=63031 logmap=34831 colors=@webdeep5.map

If anyone wants a par that'll actually run with the colors I came up with, email
me and I'll send it... or better yet, wait a few hours and I'll have it up on my
web page at

http://boralf.agsci.colostate.edu/~jason/personal/deeper.html

Cheers!

Jason Hine


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-------------------------------------------------------------------------------

From: Christopher Springer <santini@home.com>
Subject: Re: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 14:35:04 -0800


--------------1B54523875DBDAC07E379CA5
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit

Hi Everyone...

PART I:

Thank you Kerry Mitchell, John Camp and Jason Hine for your interest and

replies regarding Infinity and All Things. Most interesting.

Kerry Mitchell replied:

> This is a common mistake, confusing "infinite" with "containing
> everything".  The Mandelbrot set truly is infinite, that is, going on (in)
> forever, but it certainly doesn't contain everything.  It's similar to a
> sequence of numbers.  Consider any infinite sequence of the digits 0-9.
> No matter what sequence you choose or how long you look, you'll never find
> the sequence "THIS SPACE FOR RENT" in the sequence.  In the same vein,
> you'll not find a Mona Lisa in the Mandelbrot set.
>
I agree that "infinite" will not "contain everything" if the infinity
referred to is one of stasis,
either Unchanging (e.g. continuous sequence of "1") or Looped (e.g.
123123123...)
BUT if the infinity is Ever Changing I think it will. Consider the
following...

My computer screen is set at 1024x768. That is,  786432 pixels.

So, we generate a binary sequence starting from Zero, and
continuing on up to 2^786432 (a RATHER LARGE number).

This will yield EVERY POSSIBLE arrangement of "ones" and "zeroes"
in the 786432 digit binary number. Equivalent to EVERY POSSIBLE
arrangement if "on" and "off" pixels on my computer screen. This means
(if we limit ourselves to a Black and White screen) that my computer
screen will show the set of "All Possible Images" that it is capable of
showing.
This will INCLUDE a picture of you, me, Mona, Lisa, and every cat, dog
and Fractal (!!!)
which is capable of being shown on a 1024x768 pixel black and white
screen.
This even includes "THIS SPACE FOR RENT", and many, many variations
thereon!

Now is this an "Infinite" number of images? No! Because anything Digital
has
the "Jaggies" at some level or other. But if the pixel number was
increased
sufficiently until our ability to see the image was the limiting factor
in our
perception, it would for all intents and purposes be "Infinite" to us
because
even if we further increased the screen resolution to display even
"finer"
differences of in-between images, we couldn't see the difference anyhow.

But for the Purist, what the heck, just get a nice Infinite Pixel
Screen, and
have done with it. THEN the number of images WOULD be INFINITE!

It is not difficult to see that all possible arrangements of Colour
could be
imposed on the "on" pixels of each image. But I kept that out of it for
now
just for simplicity.

Furthermore, the 2-dimensional Screen could be replaced with a
3-dimensional
Block of screens (Cube) to model 3-d images. Not only that, but for each

3-d Block Image could be opened rows upon rows of 3-d Block Sequences
showing All Possibilities for the NEXT image, which would define the sum
of all
possible motions through time. Talk about needing a MASSIVELY Parallel
computer!!!

So, does the original premise of Infinity and All Things, namely that
Fractals
may generate:

<< an Infinite number of shapes would be generated. This means the sum
total of
"All Possible Shapes" which COULD be generated, percieved or imagined >>

gain any sort of reprieve? Or is it doomed, in your opinions, and
therefore
should I go back to the drawing board?

PART II:

Has anyone considered displaying the DIFFERENCES in the same Fractal
Object in ZOOMS seperated by ONE or MORE Zoom Levels???

I think they would be still "Fractal" in nature, and this may open up a
whole
new area of "Difference Fractals" or "Subtractal Fractals" or whatever!

Since the differences should be small, especially between adjacent
levels,
they might be quite "whispy" and beautiful.

PART III:

Is there any way the Fractal Math (as performed by Fractint and others)
can be REVERSED? That is, instead of calculating at Zoom Level Zero,
then at Zoom 1, Zoom 2 etcetera, etcetera and so forth, could we
calculate BACKWARDS to Zoom -1, Zoom -2 etc.?
The same effect could be produced (I think!) by taking Zoom 1,2,3...etc
images and running them through what I shall call an "Extrapolative
Morph Program"
to extrapolate back to what Zoom 0 ("The Lake") -1, -2,-3... Fractals
should look like.
I think all Morph programs may be Interpolative ("Blending"). But
perhaps
an Extrapolative one does exist or could be written.

FRACTALS FOREVER!!! So many are so beautiful, let's push the Fractal
Boundaries
to the limit, and squeeze the Sponge of Beauty for all that is in it!!!

What do you all think?

Christopher de Jacques Springer


--------------1B54523875DBDAC07E379CA5
Content-Type: text/html; charset=us-ascii
Content-Transfer-Encoding: 7bit

<HTML>
Hi Everyone...

<P>PART I:

<P>Thank you Kerry Mitchell, John Camp and Jason Hine for your interest
and
<BR>replies regarding Infinity and All Things. Most interesting.

<P>Kerry Mitchell replied:
<BLOCKQUOTE TYPE=CITE>
<PRE>This is a common mistake, confusing "infinite" with "containing
everything".&nbsp; The Mandelbrot set truly is infinite, that is, going on (in)
forever, but it certainly doesn't contain everything.&nbsp; It's similar to a
sequence of numbers.&nbsp; Consider any infinite sequence of the digits 0-9.
No matter what sequence you choose or how long you look, you'll never find
the sequence "THIS SPACE FOR RENT" in the sequence.&nbsp; In the same vein,
you'll not find a Mona Lisa in the Mandelbrot set.</PRE>
</BLOCKQUOTE>
I agree that "infinite" will not "contain everything" if the infinity referred
to is one of stasis,
<BR>either Unchanging (e.g. continuous sequence of "1") or Looped (e.g.
123123123...)
<BR>BUT if the infinity is Ever Changing I think it will. Consider the
following...

<P>My computer screen is set at 1024x768. That is,&nbsp; 786432 pixels.

<P>So, we generate a binary sequence starting from Zero, and
<BR>continuing on up to 2^786432 (a RATHER LARGE number).

<P>This will yield EVERY POSSIBLE arrangement of "ones" and "zeroes"
<BR>in the 786432 digit binary number. Equivalent to EVERY POSSIBLE
<BR>arrangement if "on" and "off" pixels on my computer screen. This means
<BR>(if we limit ourselves to a Black and White screen) that my computer
<BR>screen will show the set of "All Possible Images" that it is capable
of showing.
<BR>This will INCLUDE a picture of you, me, Mona, Lisa, and every cat,
dog and Fractal (!!!)
<BR>which is capable of being shown on a 1024x768 pixel black and white
screen.
<BR>This even includes "THIS SPACE FOR RENT", and many, many variations
thereon!

<P>Now is this an "Infinite" number of images? No! Because anything Digital
has
<BR>the "Jaggies" at some level or other. But if the pixel number was increased
<BR>sufficiently until our ability to see the image was the limiting factor
in our
<BR>perception, it would for all intents and purposes be "Infinite" to
us because
<BR>even if we further increased the screen resolution to display even
"finer"
<BR>differences of in-between images, we couldn't see the difference anyhow.
<BR>But for the Purist, what the heck, just get a nice Infinite Pixel Screen,
and
<BR>have done with it. THEN the number of images WOULD be INFINITE!

<P>It is not difficult to see that all possible arrangements of Colour
could be
<BR>imposed on the "on" pixels of each image. But I kept that out of it
for now
<BR>just for simplicity.

<P>Furthermore, the 2-dimensional Screen could be replaced with a 3-dimensional
<BR>Block of screens (Cube) to model 3-d images. Not only that, but for
each
<BR>3-d Block Image could be opened rows upon rows of 3-d Block Sequences
<BR>showing All Possibilities for the NEXT image, which would define the
sum of all
<BR>possible motions through time. Talk about needing a MASSIVELY Parallel
<BR>computer!!!

<P>So, does the original premise of Infinity and All Things, namely that
Fractals
<BR>may generate:

<P>&lt;&lt; an Infinite number of shapes would be generated. This means
the sum total of
<BR>"All Possible Shapes" which COULD be generated, percieved or imagined
>>

<P>gain any sort of reprieve? Or is it doomed, in your opinions, and therefore
<BR>should I go back to the drawing board?

<P>PART II:

<P>Has anyone considered displaying the DIFFERENCES in the same Fractal
<BR>Object in ZOOMS seperated by ONE or MORE Zoom Levels???

<P>I think they would be still "Fractal" in nature, and this may open up
a whole
<BR>new area of "Difference Fractals" or "Subtractal Fractals" or whatever!

<P>Since the differences should be small, especially between adjacent levels,
<BR>they might be quite "whispy" and beautiful.

<P>PART III:

<P>Is there any way the Fractal Math (as performed by Fractint and others)
<BR>can be REVERSED? That is, instead of calculating at Zoom Level Zero,
<BR>then at Zoom 1, Zoom 2 etcetera, etcetera and so forth, could we
<BR>calculate BACKWARDS to Zoom -1, Zoom -2 etc.?
<BR>The same effect could be produced (I think!) by taking Zoom 1,2,3...etc
<BR>images and running them through what I shall call an "Extrapolative
Morph Program"
<BR>to extrapolate back to what Zoom 0 ("The Lake") -1, -2,-3... Fractals
should look like.
<BR>I think all Morph programs may be Interpolative ("Blending"). But perhaps
<BR>an Extrapolative one does exist or could be written.

<P>FRACTALS FOREVER!!! So many are so beautiful, let's push the Fractal
Boundaries
<BR>to the limit, and squeeze the Sponge of Beauty for all that is in it!!!

<P>What do you all think?

<P>Christopher de Jacques Springer
<BR>&nbsp;</HTML>

--------------1B54523875DBDAC07E379CA5--


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-------------------------------------------------------------------------------

From: Janet Preslar <jp@parkenet.org>
Subject: (fractint) Re: Resource list
Date: 09 Jan 1999 16:42:27 -0600

After today's post, I will no longer be updating or posting the
FractInt Resource List. If
anyone wants to continue posting it, please feel free to use and adapt
it as needed.

Janet


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-------------------------------------------------------------------------------

From: Janet Preslar <jp@parkenet.org>
Subject: (fractint) Resource List
Date: 09 Jan 1999 16:42:21 -0600



The following is a list of resources for FractInt users and Discussion
List
members=2E (Last update -- November 12, 1998)=20

Thanks to Noel Giffin, this list is also available online at:
http://spanky=2Etriumf=2Eca/www/fractint/preslar=2Ehtml

*** New entries


FractInt
    At Spanky =97
        http://spanky=2Etriumf=2Eca/www/fractint/fractint=2Ehtml
    Mirror site =97
        http://fractal=2Emta=2Eca/fractint/fractint=2Ehtml
    FractInt Documentation =97
        http://spanky=2Etriumf=2Eca/www/fractint/findex=2Ehtml
    FractInt semi-official wish list =97
        http://web=2Eukonline=2Eco=2Euk/members/robin=2Eb2/olig/fracwish=2Eh=
tm


Information, Tutorials and Explanations
    Anti-Aliasing Explained (Damien M=2E Jones) =97
	http://www=2Efractalus=2Ecom/misc/antialias=2Ehtm
    Basic FractInt Hints and Tips (Linda Allison) =97
        http://wizzle=2Esimplenet=2Ecom/linda/basic/basic-information=2Ehtm
    Coloring Algorithms Explained (Damien M=2E Jones) =97
	http://www=2Efractalus=2Ecom/misc/implement=2Ehtm
    ColorMap tutorial (Linda Allison) =97
        http://www=2Egeocities=2Ecom/Paris/5519/colors=2Ehtml
        http://wizzle=2Esimplenet=2Ecom/linda/colormaps/colormaps=2Ehtm
(mirror)
    Color Map Magic (Wizzle) =97
        http://wizzle=2Esimplenet=2Ecom/fractals/wizmaps/wizmaps=2Ehtm
    Color Tricks (Linda Allison) =97
        http://wizzle=2Esimplenet=2Ecom/linda/colortricks/colortricks=2Ehtm
    Formula tutorial (Bradley Beacham) =97   =20
	http://spanky=2Etriumf=2Eca/www/fractint/frm-tut/frm-tutor=2Ehtml
    Fractals Explained (Linda Allison) =97
        http://wizzle=2Esimplenet=2Ecom/linda/define/fractals_defined=2Ehtm
    Fractal Information Page (Damien M=2E Jones) =97
        http://www=2Efractalus=2Ecom/misc/info=2Ehtm
    FractInt Tutorial (Bill Rossi) -=20
	 http://members=2Eaol=2Ecom/billatny/fractopi=2Ehtm
    Guide to the Mandelbrot and Julia Sets (Paul Derbyshire) =97
	http://www3=2Esympatico=2Eca/bob=2Ebeland/manguide=2Ehtml
    Help for FractInt Discussion List newcomers!! (Wizzle) =97
	http://wizzle=2Esimplenet=2Ecom/fractals/hints/fractint_list_q&a=2Ehtm
    High Resolution tutorial (Linda Allison) =97
	http://www=2Egeocities=2Ecom/Paris/5519/lesson4=2Ehtml
    Hints on getting started (Wizzle) =97
        http://wizzle=2Esimplenet=2Ecom/fractals/hints/tips-fractint=2Ehtm
    If=2E=2E=2EElse tutorial =97
	http://spanky=2Etriumf=2Eca/www/fractint/If_else=2Ehtml
    Par and Frm tutorial (Linda Allison) =97
        http://www=2Egeocities=2Ecom/Paris/5519/lesson=2Ehtml
	http://wizzle=2Esimplenet=2Ecom/linda/pars_and_frms/lesson=2Ehtml (mirror)
    ParToBat, Tips and Hints for Using (or how to have a life AND
generate a
zillion fractals a day ;) ) (Linda Allison)=20
	http://www=2Egeocities=2Ecom/Paris/5519/epic=2Ehtml
    PHC and PTC Formula tutorial (Sylvie Gallet) =97
	http://spanky=2Etriumf=2Eca/www/fractint/phc/phc-tutor=2Ehtml
    PNG vs=2E JPEG discussed (Damien M=2E Jones) =97
	http://www=2Efractalus=2Ecom/misc/png-jpeg=2Ehtm
    Proportioning, Sizing, and Skewing tutorial (Linda Allison) =97
        http://wizzle=2Esimplenet=2Ecom/linda/proportion/proportions=2Ehtm
    sci=2Efractals FAQ =97
	http://www=2Emta=2Eca/~mctaylor/sci=2Efractals-faq/
    Windows 95, How to run FractInt for DOS under =97
        http://fractal=2Emta=2Eca/fractint/fracwin95=2Ehtml
    Zooming tutorial (Linda Allison) =97
        http://wizzle=2Esimplenet=2Ecom/linda/zoom/zoom-lesson=2Ehtml


FractInt Discussion List
    Fractal '98 Contest =97
	http://www=2Efractalus=2Ecom/contest98/
    FractInt Discussion List archive =97
        ftp://ftp=2Exmission=2Ecom/pub/lists/fractint/archive/
    1997 Contest (thumbnails of all the entries) =97
        http://www=2Efractalus=2Ecom/contest/
    The 1997 Contest Kit (Re-create the magic at home!!) =97
        http://home=2Esan=2Err=2Ecom/jayrhill/Contestk=2Ezip
    Collection of Discussion List Pars & Formulas (Les St=2E Clair)
    (all the pars and frms since August 1997) =97
        http://ourworld=2Ecompuserve=2Ecom/homepages/Les_StClair/fml=2Ehtm
    The iFAQ (collected topics from the list) =97
        http://home=2Esan=2Err=2Ecom/jayrhill/iFAQ/iFAQ=2Ehtml
    Copyrights Discussed (and discussed) =97
        http://www=2Egeocities=2Ecom/CapeCanaveral/Lab/3825/copyright=2Ezip
    ColorMaps collected and organized by Wizzle =97
        http://wizzle=2Esimplenet=2Ecom/fractals/fractint_maps/newmaps=2Ehtm
    Dr=2E J's Fractal of the Night =97
        http://home=2Esan=2Err=2Ecom/jayrhill/FotN/FotNindx=2Ehtml
    List of FractInt Mailing List members with ICQ numbers =97
	http://come=2Eto/fractinticq


Additional Programs & Utilities
    AddGifs program (Paul Carlson) =97
        http://www=2Egeocities=2Ecom/CapeCanaveral/Lab/3825/addgifs=2Ezip
    FractInt Screensaver v1=2E70 (Thore Berntsen) =97
        http://home=2Esol=2Eno/~thbernt/fintsave=2Ehtm
    Fractal Map Generator (Paulo Guagliumi) -
	http://members=2Etripod=2Ecom/softwork/map
    MakeMap utility (Ron Barnett) =97
        http://members=2Eaol=2Ecom/RBarn0001/makemap=2Ezip
    Orgfrm program (George Martin) =97
	http://spanky=2Etriumf=2Eca/pub/fractals/programs/ibmpc/orgfrm=2Ezip
    Partobat utility (version 3=2E4 for slower machines) (Michael
Peters) =97
        http://spanky=2Etriumf=2Eca/pub/fractals/programs/IBMPC/PARTOB=2EZIP
	http://ourworld=2Ecompuserve=2Ecom/homepages/JoWeber/jo_05=2Ehtm
    Partobat utility (version 3=2E5 for faster machines) (Michael
Peters) =97
	http://ourworld=2Ecompuserve=2Ecom/homepages/JoWeber/jo_05=2Ehtm
    XMAP and MMAP utilities (Jim Prickett) =97
	http://www=2Egeocities=2Ecom/SiliconValley/Way/9943


Infinite Fractal Loop
    Home Page =97
        http://www=2Efractalus=2Ecom/ifl/
    Graphical List =97
        http://www=2Efractalus=2Ecom/ifl/list=2Ehtm


Particularly Helpful Links Pages
    Wizzle's Graphlinks =97
	http://wizzle=2Esimplenet=2Ecom/fractals/hints/graphlinks=2Ehtm


Fractal merchandise (posters, mouse mats, t-shirts, etc=2E)
    Lifesmith =97
        http://www=2Elifesmith=2Ecom/
    Refractal Design Inc=2E (fractal jewelry) =97
        http://www=2Erefractal=2Ecom


Fractal-Art Mailing List
        Subscribe:    majordomo@icd=2Ecom "subscribe fractal-art"
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    Fractal '98 Contest =97
	http://www=2Efractalus=2Ecom/contest98/
    Archive of messages =97=20
	ftp://ftp=2Efractalus=2Ecom/pub/lists/fractal-art/
    Jim Muth's Fractal of the Day index (last few weeks)
        http://home=2Eatt=2Enet/~Paul=2EN=2ELee/FotD/FotD=2Ehtml
    Jim Muth's complete FOTD archive of PARs and FRMs
        http://ourworld=2Ecompuserve=2Ecom/homepages/Les_StClair/pars=2Ehtm

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-------------------------------------------------------------------------------

From: Paul Derbyshire <pderbysh@usa.net>
Subject: Re: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 18:35:30 -0500

>BUT if the infinity is Ever Changing I think it will.

{2, 4, 6, 8, 10, 12, ...} never repeats and never contains 3 either.
-- 
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
-()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     pderbysh@usa.net
Programmer & Humanist|ICQ: 10423848|

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-------------------------------------------------------------------------------

From: comdotatdotcom@csi.com
Subject: Re: (fractint) Infinity and All Things
Date: 10 Jan 1999 00:37:42 +0000

Hi Christopher
> 
> Has anyone considered displaying the DIFFERENCES in the same Fractal
> Object in ZOOMS seperated by ONE or MORE Zoom Levels???
> 

Easily done, thanks to a debug feature left in fractint that will colour only
the different pixels in an image loaded on top of another one if fractint is
started with the command debugflag=50.

To do this just save the two images you want to subtract, load the first one,
hit 'g' to bring up the command dialogue, enter the string:
debugflag=50
hit return then 'r'estore the second image on top of the first.

Easy! 

Now if anyone gets really into this sort of thing howabout composing a
difference matrix (well half matrix really)for all the types of plotting (i.e
guessing vs tesseral, tesseral vs boundary plot, boundary plot vs single pass
etc,) and putting up a page with the results, that'd be fun!

Cheers,
     Robin.



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-------------------------------------------------------------------------------

From: comdotatdotcom@csi.com
Subject: Re: (fractint) Infinity and All Things
Date: 10 Jan 1999 00:42:16 +0000

Oops! I forgot to mention that debugflag=50 puts a large file in your fractint
directory that notes all the co-ordinates of the pixels that 
were different. It's called cmperr and you might want to get rid of it after a
session as it can easily reach a few meg in size.

Cheers,
     Robin.



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-------------------------------------------------------------------------------

From: "Matthew Bennett" <bennett@btinternet.com>
Subject: (fractint) Next version of Fractint
Date: 10 Jan 1999 01:13:34 -0000

Anyone know if/when the next version of Fractint will come out?
It's been so long, I'd like to know if there ever will be one, or at least
one in the next year or so.. :(

For me, I still don't know which is best.. Ultra Fractal 2.0 or Fractint...
If Fractint could add True color support and a couple of other things (such
as anti-analysis) then I'd probably stick with it. However, if Ultra Fractal
just added Fractint's "Deep Zooming" (arbitrary precision), then I'd move
over to UF instead... At the moment, I don't know which to get going with :(

Will Fractint 17.x come out before Ultra Fractal 3.0 (that should have
arbitrary precision..)?
Seems the next one to upgrade wins ;)

Any thoughts on this?

Matt

----
Author of the DataCloak file encryption utility:
http://www.btinternet.com/~bennett/datacloak.html


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Next version of Fractint
Date: 09 Jan 1999 19:39:21 -0600

Matt,

 - Will Fractint 17.x come out before Ultra Fractal 3.0 (that should have
 - arbitrary precision..)?

Um, don't you mean FractInt 20.x? :-) Even so, I don't think true color
support is slated for v20... I think it's v21 that will have full true
color support. (I am sure the FractInt developers will squash me like a bug
if I'm wrong here. :)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Jason Hine" <tumnus@together.net>
Subject: Re: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 17:53:56 -0500

This is a multi-part message in MIME format.

------=_NextPart_000_005E_01BE3BF9.07095460
Content-Type: text/plain;
	charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Christopher recently wrote:
   =20
    PART II:=20
   =20
    Has anyone considered displaying the DIFFERENCES in the same Fractal =

    Object in ZOOMS seperated by ONE or MORE Zoom Levels???=20
   =20
    I think they would be still "Fractal" in nature, and this may open =
up a whole=20
    new area of "Difference Fractals" or "Subtractal Fractals" or =
whatever!=20
   =20
    Since the differences should be small, especially between adjacent =
levels,=20
    they might be quite "whispy" and beautiful.=20
   =20
   =20
    I had, at one point, considered making a little program that would =
try to automatically orient two baby 'brots so they were the same scale =
and pointed in the same direction, then perform some "image algebra" =
(subtraction or addition or multiplication or the like) on the two =
images.  I never got a Round Tuit, so the program was never written.

This topic was brought up on the list before, though, and I remember =
someone posting a formula (Paul Carlson?) which could draw two baby =
'brots superimposed on each other... I searched my save emails, but =
could not find it - can anyone else help here?

BTW, the "Mona Lisa" image, my most recent deepzoom effort, is up at:

http://boralf.agsci.colostate.edu/~jason/personal/deeper.html

Cheers,
Jason Hine

------=_NextPart_000_005E_01BE3BF9.07095460
Content-Type: text/html;
	charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN">
<HTML>
<HEAD>

<META content=3Dtext/html;charset=3Diso-8859-1 =
http-equiv=3DContent-Type>
<META content=3D'"MSHTML 4.71.2016.0"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 solid 2px; MARGIN-LEFT: 5px; PADDING-LEFT: =
5px">
    <P><FONT color=3D#000000 face=3DArial size=3D2>Christopher recently =
wrote:</FONT>
    <P>PART II: </P>
    <P>Has anyone considered displaying the DIFFERENCES in the same =
Fractal=20
    <BR>Object in ZOOMS seperated by ONE or MORE Zoom Levels???=20
    <P>I think they would be still &quot;Fractal&quot; in nature, and =
this may=20
    open up a whole <BR>new area of &quot;Difference Fractals&quot; or=20
    &quot;Subtractal Fractals&quot; or whatever!=20
    <P>Since the differences should be small, especially between =
adjacent=20
    levels, <BR>they might be quite &quot;whispy&quot; and beautiful. =
&nbsp;
    <DIV>&nbsp;</DIV></BLOCKQUOTE>
<DIV><FONT face=3DArial>I had, at one point, considered making a little =
program=20
that would try to automatically orient two baby 'brots so they were the =
same=20
scale and pointed in the same direction, then perform some &quot;image=20
algebra&quot; (subtraction or addition or multiplication or the like) on =
the two=20
images.&nbsp; I never got a Round Tuit, so the program was never=20
written.</FONT></DIV>
<DIV><FONT face=3DArial></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial>This topic was brought up on the list before, =
though, and=20
I remember someone posting a formula (Paul Carlson?) which could draw =
two baby=20
'brots superimposed on each other... I searched my save emails, but =
could not=20
find it - can anyone else help here?</FONT></DIV>
<DIV><FONT face=3DArial></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial>BTW, the &quot;Mona Lisa&quot; image, my most =
recent=20
deepzoom effort, is up at:</FONT></DIV>
<DIV><FONT face=3DArial></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial><A=20
href=3D"http://boralf.agsci.colostate.edu/~jason/personal/deeper.html">ht=
tp://boralf.agsci.colostate.edu/~jason/personal/deeper.html</A></FONT></D=
IV>
<DIV><FONT face=3DArial></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial>Cheers,</FONT></DIV>
<DIV><FONT face=3DArial>Jason Hine</FONT></DIV></BODY></HTML>

------=_NextPart_000_005E_01BE3BF9.07095460--


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-------------------------------------------------------------------------------

From: "Jay Hill" <ehill1@san.rr.com>
Subject: Re: (fractint) Re: Resource list
Date: 09 Jan 1999 19:13:03 -0800

Janet,

The resource has been echoed as part of the iFAQ 
http://home.san.rr.com/jayrhill/iFAQ/iFAQ.html
which I last updated 10/24/98. I will update it again 
and be happy to maintain it.  Truly a resource 
which should not be lost.  Thank you Janet.

http://home.san.rr.com/jayrhill/iFAQ/Resource.htm

Jay


----------
> From: Janet Preslar <jp@parkenet.org>
> To: Fractint <fractint@lists.xmission.com>
> Subject: (fractint) Re: Resource list
> Date: Saturday, January 09, 1999 2:42 PM
> 
> After today's post, I will no longer be updating or posting the
> FractInt Resource List. If
> anyone wants to continue posting it, please feel free to use and adapt
> it as needed.
> 
> Janet


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-------------------------------------------------------------------------------

From: Christopher Springer <santini@home.com>
Subject: Re: Re: (fractint) Infinity and All Things
Date: 09 Jan 1999 19:33:24 -0800

Hi Everyone...

Jason Hine wrote:

 the "Mona Lisa" image, my most recent deepzoom effort, is up at:

http://boralf.agsci.colostate.edu/~jason/personal/deeper.html


Now, that's a really beautiful Mona Lisa!!!

But to distinguish it from the original by Leonardo Babe, perhaps it
should

be re-named either:

"Mona Lisa on a Bad Hair Day", or:

"Shania Twain"

Any printable comments, Jason?

Chris Springer


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-------------------------------------------------------------------------------

From: Jim Muth <jamth@mindspring.com>
Subject: Re: (fractint) Infinity and All Things
Date: 10 Jan 1999 00:59:55 -0500 (EST)

At 12:37 AM 1/10/99 +0000, you wrote:

>Now if anyone gets really into this sort of thing howabout composing 
>a difference matrix (well half matrix really)for all the types of 
>plotting (i.e guessing vs tesseral, tesseral vs boundary plot, 
>boundary plot vs single pass etc,) and putting up a page with the 
>results, that'd be fun!

Speaking of differences, curiously enough, I've been experimenting 
with fractals created from tiny differences between near identical 
powers of Z magnified thousands of times.  The attached par file is a 
sample of what is possible with this technique.

Jim Muth
jamth@mindspring.com



Punched-Out_Midget { ; 25min on a 486-100, 640x480
  reset=1960 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix5 passes=1
  center-mag=+0.40335944301036460/+0.04045049900665\
  295/1097.327/1/95 params=-1/-9.999/1/-10/5000/-1.2
  float=y maxiter=850 bailout=25 inside=0 logmap=17
  symmetry=xaxis periodicity=10
  colors=000zfKzfKwIKrJPmKThLUcMW`NYXOZWP_VQ`WRaXSbZSc\
  <42>nS_nS_oS_pS_<5>vSZvSZwSZwSZxSZ<3>zSZzSYzSYzSYzSY\
  <4>zSYzSXzSY<9>zSezSfzSh<2>zSnzSozSqzSrzSs<5>zSyzSzz\
  SzzSz<140>zSzmSz
  }

frm:MandelbrotMix5 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f,
h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1,
l=imag(p3)+1, c=pixel:
z=k*((a*(z^b))+(d*(z^f)))+c^l,
|z| < 100
}


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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) 6 pars (jm04)
Date: 10 Jan 1999 09:09:02 EST


    Good Morning,

       I keep wandering back to this formula quite often, so here's a few
recent pics from last nights escapade.

       Enjoy~

 Jim Weaver

******************************


jm4n003.gif        { ; image(c)1999 JimWeaver   jm_04             t=02m23s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acosh/cosxx passes=t
  center-mag=0.629007/-2.22045e-014/0.2869595/1/-90 params=25/0
  float=y maxiter=75 inside=bof60
  colors=000dOqlYlsff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jz\
  aky<13>rudsvcrsd<14>WFx<15>zo`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBG\
  UAFS<14>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw
  }

jm4n004.gif        { ; image(c)1999 JimWeaver   jm_04             t=04m53s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acosh/cosxx passes=t
  center-mag=0.57205/-2.53131e-014/0.8428086/1/-90 params=25/0 float=y
  maxiter=75 inside=bof60
  colors=000dOqlYlsff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jz\
  aky<13>rudsvcrsd<14>WFx<15>zo`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBG\
  UAFS<14>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw
  }


jm4n007.gif        { ; image(c)1999 JimWeaver   jm_04             t=01m01s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=conj/recip/acos/cosxx passes=t
  center-mag=0.629007/-3.73035e-014/0.1809846/1/-90 params=25/0
  float=y maxiter=75 inside=bof60
  colors=000wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0HB0HB0IC1JD\
  2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4ZJ5YK6<2>Z\
  O9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<11>0BD<15>stt
  }

jm4n009.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m46s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/tan passes=t
  center-mag=-9.76996e-015/-1.43468/0.1167788 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }

jm4n010.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m33s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/tanh passes=t
  center-mag=-2.66454e-014/0.0922157/0.1632061 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }

jm4n011.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m14s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/cotanh passes=t
  center-mag=-4.26326e-014/0.0922157/0.0830941 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }

     

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-------------------------------------------------------------------------------

From: Guy Marson <guy.marson@mnhn.lu>
Subject: Re: (fractint) 6 pars (jm04)
Date: 11 Jan 1999 00:32:47 +0100

At 09:09 10.01.1999 EST, you wrote:
>
>    Good Morning,
>
>       I keep wandering back to this formula quite often, so here's a few
>recent pics from last nights escapade.

Hi Jim,

got the .frm on another (mostly removed) HD.. so what's the jm_04.frm?

>
>       Enjoy~
>
> Jim Weaver
>

cannot enjoy 

Guy



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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) Two New pars
Date: 10 Jan 1999 21:22:52 -0500

Hi, Everyone--

Here are a couple pars based on Jim Weaver's "jm_04" postings (Thanks,
Jim!).  "Alien Mystic" has to be one of the better "alien being"
fractals I've seen, lately.  Worth the 20 minute wait, IMHO..  "In The
Smoke Ring" - Title inspired by Larry Niven.  Enjoy!

Regards, Paul DeCelle


In_The_Smoke_Ring  { ; From Jim Weaver's jm_04 formula
                     ; Paul DeCelle 1/10/99
reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
function=ident/recip/acosh/cosxx passes=3
center-mag=-1.31326/-0.932677/3.928333/1.137/-124.423/46.299
params=25/0 float=y maxiter=75 inside=bof60
colors=000<4>0kO<13>0L30J10I1<7>091081181<7>C91EA1EA1<15>OO6MR9KUBJXEJYE\
<20>3w_2ya4xc<5>Hnt<6>9msEmr<2>GmrHmsImsJntKnt<7>XnlYokYoj<27>KRC<4>0F0<\
73>252343454<27>XZvZ`xZMxYFw
}

Alien_Mystic       { ; From Jim Weaver's jm_04 frm  t=0:19:05 P60
                     ; One of the best alien fractals I've seen
                     ; Paul DeCelle 1/10/99
reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
function=conj/recip/acos/sinh passes=3
center-mag=0.00947825/0.604924/1.052236 params=25/0 float=y
maxiter=75 inside=bof60
colors=000zzz<5>qqnooknnj<3>jieihdhfbge`<2>c`Wb_U_WR<14>G92E70E70<13>HB0\
HB0IC1JD2<21>ieVjgXkhYmj_mj_li_<32>TRKSQKRPKQPJPOI<30>654<13>YH4_I3_I3<2\
>YK6YL7ZN8<13>_ZK<9>342<16>7NL7OM7PN8RP7QP6PP<5>3LO2KO1JO0IN0IM<11>0BD<1\
5>stt
}

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-------------------------------------------------------------------------------

From: "Jason Hine" <tumnus@together.net>
Subject: (fractint) Re: Mona's Bad Hair Day
Date: 10 Jan 1999 20:59:28 -0500

Chris resmirked:

>But to distinguish it from the original by Leonardo Babe, perhaps it
>should
>
>be re-named either:
>
>"Mona Lisa on a Bad Hair Day", or:
>
>"Shania Twain"
>

Heh heh... hey, I don't decide what they look like, I just name 'em.  To tie in
with another recent thread, how about "Zircon-Encrusted Tweezers"?  And that's
probably as far as either of these threads should go....

Cheers!
Jason Hine


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-------------------------------------------------------------------------------

From: noel giffin <noel@triumf.ca>
Subject: Re: (fractint) Resource List
Date: 11 Jan 1999 11:15:49 -0800 (PST)



	Hi Janet,
	
	Thanks for your work on updating the fractint resource list. I'm 
sorry to hear that you won't be able to maintain it. I hope you have found
new and exciting things to keep you busy. It was a very useful resource.
I found it an extremely  valuable tool in keeping up with the constant 
flood of fractint information.
 
I'm glad Jay has found a way to maintain it.

	Regards,
	Noel Giffin


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-------------------------------------------------------------------------------

From: Proffwak@aol.com
Subject: (fractint) Video output question
Date: 11 Jan 1999 18:03:11 EST

Hi, I'm new to this list and actually still quite a beginner when it comes to
fracint.

My question is:
 Is there any way I can send the images from my monitor while in fractint out
to a VCR or TV.  My computer has a TV out jack which is, if I'm not mistaken,
an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
produced any images.  I'm thinking either this is *not* possible, or I need
some special video card or software.

I can't believe, though, that I'm the only person who has tried to do this.
Think of how amazing it would look on a 50" TV screen.

My main reason for wanting to do this is:   I play in a band, and one of the
venues that we often perform at has a big screen TV right behind where we
play.  And I want, somehow, to have the images I've created with fractint be
up on the screen while we perform.  I think it would add a lot to the whole
effect of our performance.

Any help would be appreciated.

Dan McFarland
sinch@thelocalscene.com
http://members.xoom.com/sinch1/index.htm 

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-------------------------------------------------------------------------------

From: Ian Kaplan <ijk@force.stwing.upenn.edu>
Subject: Re: (fractint) Video output question
Date: 11 Jan 1999 19:39:37 -0500 (EST)

> My question is:
>  Is there any way I can send the images from my monitor while in fractint out
> to a VCR or TV.  My computer has a TV out jack which is, if I'm not mistaken,
> an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
> produced any images.  I'm thinking either this is *not* possible, or I need
> some special video card or software.

You'd need... ponders... well, if you're running fractint from within
Win95, then I'm not sure I know enough about how Win95 DOSmode works to
tell you. If you're running fractint by booting to DOS, you might be able
to do this with some sort of DOS driver for your card, if the manufacturer
has bothered to write such a thing. What video card are you using?


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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: (fractint) Web Site Update
Date: 11 Jan 1999 20:08:00 -0500

Hi, Everyone--

I've finally added some new images to my Fractint site (Had to find more
server space).  List subscribers will probably seen most of the new ones
from recent par postings, though.  Anyway, go to
http://members.xoom.com/PaulDeCelle/welcome.html and pick "Collection 8"
for the newest material.  

Regards, Paul DeCelle

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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: Re: (fractint) Two New pars
Date: 12 Jan 1999 04:53:13 EST


               Nice alien Paul!
  
        Just so no one gets the wrong impression I want to state that the
jm_04 formula isn't mine, I only borrow it to make fractal art as I do ALL my
images. I most likely will never claim ownership to a formula because I don't
understand them even in the simplest form.<G> I used to think that if I knew
how a formula worked and could make my own that I could make better pics, but
that's not necessarily the case in some instances.  And besides, I'm having
enough headaches learning how to use all these programs I recently
d/l'ed....Ultra Fractal, Flarium24, Iterations, and Tierazon.  BTW, this here
UltraFractal deserves some more close inspection....I like the looks of it so
far.
   How about something in the future like....Ultra Fractint!?  There's an
idea.

         Thanks~

  Jim Weaver

 

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From: Proffwak@aol.com
Subject: Re: (fractint) Video output question
Date: 12 Jan 1999 16:57:45 EST

In a message dated 1/11/99 4:41:49 PM Pacific Standard Time,
ijk@force.stwing.upenn.edu writes:

<< > My question is:
 >  Is there any way I can send the images from my monitor while in fractint
out
 > to a VCR or TV.  My computer has a TV out jack which is, if I'm not
mistaken,
 > an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
 > produced any images.  I'm thinking either this is *not* possible, or I need
 > some special video card or software.
 
 You'd need... ponders... well, if you're running fractint from within
 Win95, then I'm not sure I know enough about how Win95 DOSmode works to
 tell you. If you're running fractint by booting to DOS, you might be able
 to do this with some sort of DOS driver for your card, if the manufacturer
 has bothered to write such a thing. What video card are you using?
  >>

Well, I think I've answered my own question.
The card I'm using is an ATI Rage graphics accellerator.  And if you go into
the display options on your control panel there's a page that enables the
output device you are using.  Once you have the TV hooked up, you can check
"television" and whatever is on your monitor will show up on the TV screen.
Unfortunately, the TV doesn't come close to reproducing the colors on the
monitor.  But, for what I'm using it for it should be OK.


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From: Dave Hershey <rain@blarg.net>
Subject: (fractint) Terrian Generating Algorythm
Date: 12 Jan 1999 23:44:28 -0800

I'm working on a routine in VB 6.0 for generating a random maps.  =
However, I'm having a little trouble with the coastlines.  Either they =
come out too chaotic, or too bland.  I'm also getting some strange =
textures where there should be none.  I've been looking high and low for =
a simple (yet concise) explanation of the plasma fractal algorythm that =
Fractint uses, which has a very nice balance of smooth coastlines and =
interesting features.  Can anyone within the reach of this email help?  =
I'd be forever grateful.

Dave Hershey
http://www.blarg.net/~rain/index.html

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From: "Les St Clair" <les_stclair@crosstrees.prestel.co.uk>
Subject: Re: (fractint) Next version of Fractint
Date: 13 Jan 1999 08:59:19 -0000

Hi Matthew,

>For me, I still don't know which is best.. Ultra Fractal 2.0 or Fractint...
>If Fractint could add True color support and a couple of other things (such
>as anti-analysis) then I'd probably stick with it. However, if Ultra Fractal
>just added Fractint's "Deep Zooming" (arbitrary precision), then I'd move
>over to UF instead... At the moment, I don't know which to get going with :(

Why not enjoy the best of both worlds?

Fractint remains a superlative program, and it's completely free - so why give
it up at all?

Ultra-Fractal, on the other hand, is a state of the art imaging program with
almost total compatibility with Fractint.

The great fun is that you can re-work your favourite Fractint images, converting
them to true color, adding layers, manipulating layer transparency with the
alpha-channel etc... The possibilities are literally endless!

I've just posted a small selection of my Fractint images, re-worked in UF, to
the Ultra Fractal mail list if you want to take a look.

cheers, Les




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From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) The Last Port
Date: 13 Jan 1999 11:02:56 GMT

How manny platforms has FractInt been ported to? Why doesn't someone 
port it to Java? Then it would run (admitadly not very fast) on 
almost every modern platform.

By the way, has anyone seen somewhere that I can download the Amiga 
version of FractInt from?
Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: Re: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 09:08:28 -0500

As far as I can tell from the source code, the old algorithm for Plasma i=
s
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. The=
n
the color of the midpoint of each edge is the average of the colors of th=
e
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise tha=
n
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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From: Dave Hershey <rain@blarg.net>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 08:47:26 -0800


------ =_NextPart_000_01BE3ED1.5973C980
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: quoted-printable

So we would start with this (where x,y are cartesian coordinates and p =
is the color value at that point):

p(x1,y2)		p(x,y2)		p(x2,y2)

p(x1,y)		p(x,y)		p(x2,y)

p(x1,y1)		p(x,y1)		p(x2,y1)

And then generate the mid points between these lines as so:

p(x,y1) =3D [ p(x1,y1) + p(x2,y1) ] / 2
p(x1,y) =3D [ p(x1,y1) + p(x1,y2) ] / 2
p(x,y2) =3D [ p(x1,y2) + p(x2,y2) ] / 2
p(x2,y) =3D [ p(x2,y1) + p(x2,y2) ] / 2

Then each edge point gets modified up or down by a random amount.  The =
mean of zero means that the random number has an equal chance of being =
as positive as negative?  Hello!  Part that I was missing!  Multiply the =
edge midpoint by the length of the edge:

p(x,y1) =3D [ p(x,y1) + rand(10 to -10) ] * [ x2 - x1 ]
p(x1,y) =3D [ p(x1,y) + rand(10 to -10) ] * [ y2 - y1 ]
p(x,y2) =3D [ p(x,y2) + rand(10 to -10) ] * [ x2 - x1 ]
p(x2,y) =3D [ p(x2,y) + rand(10 to -10) ] * [ y2 - y1 ]

Then the center point:

p(x,y) =3D [ p(x,y1) + p(x1,y) + p(x,y2) + p(x2,y) ] / 4

What happens if (when) p goes beyond the 255 palette limit?  Or, am I =
taking the average too soon for the edge mid points?

This is where my ignorance shines through, I'm afraid, but what is a =
Weierstrass function?

----------
Sent: 	Wednesday, January 13, 1999 6:08 AM

As far as I can tell from the source code, the old algorithm for Plasma =
is
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. =
Then
the color of the midpoint of each edge is the average of the colors of =
the
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise =
than
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 11:14:09 -0600

Dave,

   a    b    c

   d    e    f

   g    h    i

Given this grid of points, with a, c, g, and i already defined, we want to
define the remaining points (b, d, e, f, h) in a way that generates fractal
terrain. What you suggested is to generate the edge points first, then the
center point. In fact, when I tried to adapt the triangular
midpoint-displacement algorithm to a square grid, I tried this too, but in
fact it's the wrong way to do it. You should generate the center point
first, then the edge points.

The problem with doing the edges first is that it increases the resolution
of the grid unevenly. When doing midpoint-displacement on a triangular
grid, you can increase resolution along each of your grid axes
independently; it doesn't matter what order you do them in. When you're
done, you have a new triangular grid with twice as many points. With a
square grid, though, you can't do it all in one step; you have to do it in
two. And if you do the edges first, you're generating one set of points by
averaging only two neighbors (the edges) and then another set of points by
averaging four neighbors (the centers). This doesn't look right.

By doing the centers first, you are doing two steps, but now they're
*equal*. The first pass does the centers; average the four corners, then
displace by some random amount. At the end of this intermediate step you
have a new, complete square grid at double the resolution of the previous
one--rotated forty-five degrees. Now you want to do the edges, but notice
with the new grid you get after doing the centers, the edge points that
still need to be done have become the centers of the new, forty-five degree
grid. So you repeat the process of averaging four corners for each new
point--but two of those corners will be new points created in the previous
step.

This makes each half-step totally equal and produces far better results. I
think FractInt does the edge points first, but I haven't checked the code
myself, so I can't be sure.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 15:03:27 -0300

Did I miss something? I've just received this from Dave, but I ignore whe=
n
it started. Please someone tell me what was first.

Thank you,

Ale

-----Original Message-----
De: Dave Hershey <rain@blarg.net>
Para: 'fractint@lists.xmission.com' <fractint@lists.xmission.com>
CC: 'a-' <a-davehe@microsoft.com>
Fecha: Mi=E9rcoles 13 de Enero de 1999 13:50
Asunto: RE: (fractint) Terrain Generating Algorithm


So we would start with this (where x,y are cartesian coordinates and p is
the color value at that point):

p(x1,y2) p(x,y2) p(x2,y2)

p(x1,y) p(x,y) p(x2,y)

p(x1,y1) p(x,y1) p(x2,y1)

And then generate the mid points between these lines as so:

p(x,y1) =3D [ p(x1,y1) + p(x2,y1) ] / 2
p(x1,y) =3D [ p(x1,y1) + p(x1,y2) ] / 2
p(x,y2) =3D [ p(x1,y2) + p(x2,y2) ] / 2
p(x2,y) =3D [ p(x2,y1) + p(x2,y2) ] / 2

Then each edge point gets modified up or down by a random amount.  The me=
an
of zero means that the random number has an equal chance of being as
positive as negative?  Hello!  Part that I was missing!  Multiply the edg=
e
midpoint by the length of the edge:

p(x,y1) =3D [ p(x,y1) + rand(10 to -10) ] * [ x2 - x1 ]
p(x1,y) =3D [ p(x1,y) + rand(10 to -10) ] * [ y2 - y1 ]
p(x,y2) =3D [ p(x,y2) + rand(10 to -10) ] * [ x2 - x1 ]
p(x2,y) =3D [ p(x2,y) + rand(10 to -10) ] * [ y2 - y1 ]

Then the center point:

p(x,y) =3D [ p(x,y1) + p(x1,y) + p(x,y2) + p(x2,y) ] / 4

What happens if (when) p goes beyond the 255 palette limit?  Or, am I tak=
ing
the average too soon for the edge mid points?

This is where my ignorance shines through, I'm afraid, but what is a
Weierstrass function?

----------
Sent: Wednesday, January 13, 1999 6:08 AM

As far as I can tell from the source code, the old algorithm for Plasma i=
s
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. The=
n
the color of the midpoint of each edge is the average of the colors of th=
e
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise tha=
n
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 10:23:13 -0800

I'm trying to build a plasma fractal algorythm for generating random terrain
in a VB program.  But, what I have so far comes out either too chaotic or
too bland, and so I'm asking for help.

-----Original Message-----
Sent: Wednesday, January 13, 1999 10:03 AM


Did I miss something? I've just received this from Dave, but I ignore when
it started. Please someone tell me what was first.

Thank you,

Ale

<snip>

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From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 10:53:29 -0800

What do you do about the points on the outside of the field that only have
three legal neighbors?  How much random displacement would you use?

-----Original Message-----
Sent: Wednesday, January 13, 1999 9:14 AM


Dave,

   a    b    c

   d    e    f

   g    h    i

Given this grid of points, with a, c, g, and i already defined, we want to
define the remaining points (b, d, e, f, h) in a way that generates fractal
terrain. What you suggested is to generate the edge points first, then the
center point. In fact, when I tried to adapt the triangular
midpoint-displacement algorithm to a square grid, I tried this too, but in
fact it's the wrong way to do it. You should generate the center point
first, then the edge points.

The problem with doing the edges first is that it increases the resolution
of the grid unevenly. When doing midpoint-displacement on a triangular
grid, you can increase resolution along each of your grid axes
independently; it doesn't matter what order you do them in. When you're
done, you have a new triangular grid with twice as many points. With a
square grid, though, you can't do it all in one step; you have to do it in
two. And if you do the edges first, you're generating one set of points by
averaging only two neighbors (the edges) and then another set of points by
averaging four neighbors (the centers). This doesn't look right.

By doing the centers first, you are doing two steps, but now they're
*equal*. The first pass does the centers; average the four corners, then
displace by some random amount. At the end of this intermediate step you
have a new, complete square grid at double the resolution of the previous
one--rotated forty-five degrees. Now you want to do the edges, but notice
with the new grid you get after doing the centers, the edge points that
still need to be done have become the centers of the new, forty-five degree
grid. So you repeat the process of averaging four corners for each new
point--but two of those corners will be new points created in the previous
step.

This makes each half-step totally equal and produces far better results. I
think FractInt does the edge points first, but I haven't checked the code
myself, so I can't be sure.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 10:54:46 -0800

What language was Fractint written in?

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 10:57:29 -0800

Does anyone know where I can get my hands on the file called Plasma.arc?

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 13:10:21 -0600

Dave,

 - What do you do about the points on the outside of the field that only
 - have three legal neighbors?

You can either average only three ways, wrap, or "reflect" and use a legal
neighbor more than once.

 - How much random displacement would you use?

Each full step should have half the displacement range of the previous full
step.  This means each half-step should have 1/sqrt(2) the range of the
previous half-step.

 - What language was Fractint written in?

C and x86 assembly.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 11:38:49 -0800

This is what I'm starting to see for the center point.  Please correct me.

	p(x,y) = [ p(x1,y1) + p(x1,y2) + p(x2,y1) + p(x2,y2) ] / 4
	p(x,y) = p(x,y) + rand(weight to -weight)

Then, for recursion, weight is multiplied by 1/sqrt(2).

-----Original Message-----
Sent: Wednesday, January 13, 1999 11:10 AM

 - How much random displacement would you use?

Each full step should have half the displacement range of the previous full
step.  This means each half-step should have 1/sqrt(2) the range of the
previous half-step.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 14:19:03 -0600

Dave,

 - This is what I'm starting to see for the center point.  Please correct
 - me.

No correction necessary, this is precisely right. This is the first half-step.

 - Then, for recursion, weight is multiplied by 1/sqrt(2).

Right.

What you do when you hit 0 or 255 is up to you. Personally, I would
generate the entire thing at 16- or 32-bit precision, then check for the
lower and upper bounds and scale/offset accordingly. You could also just
clip intermediate values, or wrap. Wrapping is, of course, bad. :)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 12:27:27 -0800

This approach starts with a square, then moves onto a diamond, then back to
a square (a smaller one than the first).  From the first square to the
diamond, weight is multiplied by 1/sqrt(2).  Does multiplying weight by
1/sqrt(2) a second time equate to weight/2?  I'm just double-checking my
math here.

-----Original Message-----
Sent: Wednesday, January 13, 1999 12:19 PM


Dave,

 - This is what I'm starting to see for the center point.  Please correct
 - me.

No correction necessary, this is precisely right. This is the first
half-step.

 - Then, for recursion, weight is multiplied by 1/sqrt(2).

Right.

What you do when you hit 0 or 255 is up to you. Personally, I would
generate the entire thing at 16- or 32-bit precision, then check for the
lower and upper bounds and scale/offset accordingly. You could also just
clip intermediate values, or wrap. Wrapping is, of course, bad. :)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 15:05:20 -0600

Dave,

 - This approach starts with a square, then moves onto a diamond, then
 - back to a square (a smaller one than the first).

Right.

 - From the first square to the diamond, weight is multiplied by 1/sqrt(2).
 - Does multiplying weight by 1/sqrt(2) a second time equate to weight/2?

Yes.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <a-davehe@microsoft.com>
Subject: RE: (fractint) Terrain Generating Algorithm
Date: 13 Jan 1999 13:05:06 -0800

Damien!  Thank you!  It's working beautifully now.

-----Original Message-----
Sent: Wednesday, January 13, 1999 12:19 PM


Dave,

 - This is what I'm starting to see for the center point.  Please correct
 - me.

No correction necessary, this is precisely right. This is the first
half-step.

 - Then, for recursion, weight is multiplied by 1/sqrt(2).

Right.

What you do when you hit 0 or 255 is up to you. Personally, I would
generate the entire thing at 16- or 32-bit precision, then check for the
lower and upper bounds and scale/offset accordingly. You could also just
clip intermediate values, or wrap. Wrapping is, of course, bad. :)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) Next version of Fractint
Date: 13 Jan 1999 18:19:08 EST

In a message dated 01/13/1999 1:07:35 AM Pacific Standard Time,
les_stclair@crosstrees.prestel.co.uk writes:

<< The great fun is that you can re-work your favourite Fractint images,
converting
 them to true color, adding layers, manipulating layer transparency with the
 alpha-channel etc... The possibilities are literally endless! >>


Is this done by importing the par or the gif?   I've not explored UF  yet. 

Thanks.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Next version of Fractint
Date: 13 Jan 1999 17:34:54 -0600

At 06:19 PM 1/13/99 EST, PKyleCA@aol.com wrote:

 - Is this done by importing the par or the gif?   I've not explored UF yet. 

You import the PAR. There are a very few things which are not importable,
but most things come in fine.

Ultra Fractal is not a complete replacement for FractInt. It doesn't do IFS
fractals, it doesn't do any strange attractors... just escape-time
fractals, like Mandelbrot, Phoenix, and anything from the formula parser.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Mark Townsend" <marktown@netspace.net.au>
Subject: (fractint) Please help with simple(?) math problem
Date: 14 Jan 1999 10:52:03 +1100

Hi everyone...

For my first post to this list I'd like to ask for help with a little
probelm I'm having.

It's sort of Fractint related--I'm writing a program for creating and
editing colour maps. One feature will be to generate palettes with
waveforms, but I'm really bad at maths.

To create a sine wave I use:

amp*sin(freq*time+phase),

and I stumbled upon a square wave as:

amp*sign(sin(freq*time+phase)).

Can anyone suggest equivalent fomulas for generating sawtooth and triangle
waves?

If I get this program finished I can get around to actually playing with
fractals.

Thank you.

Mark Townsend




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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Please help with simple(?) math problem
Date: 13 Jan 1999 18:26:02 -0700 (MST)

You can generate a sawtooth wave using the mod() function:

y=amp*mod(freq*x)

will give a y wave that linearly ramps from 0 to amp, then drops
immediately back to 0.  Changing freq controls the width of the ramp.

Kerry Mitchell
lkmitch@primenet.com    www.primenet.com/~lkmitch/

On Thu, 14 Jan 1999, Mark Townsend wrote:

> Can anyone suggest equivalent fomulas for generating sawtooth and triangle
> waves?


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-------------------------------------------------------------------------------

From: Dennis Murphy <ldmurphy@sprintmail.com>
Subject: Re: (fractint) Video output question
Date: 13 Jan 1999 21:03:44 -0500

The easiest way I know is to use a VCR camera, and just film the image from your
monitor. Ever try it?
Ian Kaplan wrote:

> > My question is:
> >  Is there any way I can send the images from my monitor while in fractint out
> > to a VCR or TV.


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-------------------------------------------------------------------------------

From: "Mark Townsend" <marktown@netspace.net.au>
Subject: Re: (fractint) Please help with simple(?) math problem
Date: 14 Jan 1999 14:31:07 +1100


Kerry Mitchell wrote:

>You can generate a sawtooth wave using the mod() function:
>
>y=amp*mod(freq*x)
>
>will give a y wave that linearly ramps from 0 to amp, then drops
>immediately back to 0.  Changing freq controls the width of the ramp.


Thanks for the suggestion, Kerry. That's basically what I've been using for
ramps, but I wanted to create waves at the same frequency and phase as the
sine wave. I seem to have the sawtooth worked out now--with the
serendipitous use of Pi and the fact that the byte data type automatically
clocks to zero when you increment it too high.

Mark Townsend



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-------------------------------------------------------------------------------

From: Jim Watson <jimbo@eureka.lk>
Subject: (fractint) perl based partobat utility
Date: 14 Jan 1999 12:30:02 -0000 (GMT)

Dear All,

I've just finished writing a Perl script that reads par files and
generates batch files, just as partobat does.  However, unlike partobat I
can run it on my Linux system with xfractint (the Unix port of fractint). 
It should also work on dos based systems (that support perl) but I've not
tested on such systems.  If anybody would like a copy, please drop me a
line (off the list) and I'll send a copy on.  The program is freeware and
my be freely used and passed on.

Best Regards


Jim Watson
Marconi Communications,
VOA (Sri Lanka) Project Site Office,
P.O. Box 14,
Negombo,
Sri Lanka.

Fax : + 94 32 54584
Tel : + 94 71 770542


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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: Re: (fractint) Please help with simple(?) math problem
Date: 14 Jan 1999 05:07:03 -0500

From Kerry Mitchell's formula, you could put
if(amp>.5) amp=3D1-amp
to make a triangular wave.

Note that Kerry Mitchell's sawtooth ranges from 0 to 1. This triangular
wave ranges from 0 to .5.

Collin Merenoff

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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) fractal formula
Date: 14 Jan 1999 05:19:44 -0500

I know this isn't very original, but I have found an enhancement to Kerry=

Mitchell's contest4 formula. It consists of changing the commands before
the colon to
z=3Dpixel, c=3D3*sqr(pixel)/(2*pixel-1)

Collin Merenoff

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-------------------------------------------------------------------------------

From: "Mark Townsend" <marktown@netspace.net.au>
Subject: Re: (fractint) Please help with simple(?) math problem
Date: 15 Jan 1999 00:08:05 +1100


Collin Merenoff wrote:


>>From Kerry Mitchell's formula, you could put
>if(amp>.5) amp=1-amp
>to make a triangular wave.


Thanks. I'm still working on it. Kerry's reply got me thinking--I should
modify the sine wave formula to fit the ramp and triangle, rather than the
other way around. After a bit more research I discovered how to make a sine
wave with a frequency of 1 fit the range of the map exactly, and that makes
it easier to scale the frequencies of the other waves. The hardest part
seems to be getting the waveform's phases to match.

Mark Townsend


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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) video modes
Date: 14 Jan 1999 13:27:17 -0500

I asked a few days ago about how I can get the 1600x1200x256 mode in
Fractint. Sylvie Gallet gave me a program that lists all the VESA-complia=
nt
modes on one's adapter. The 1600x1200x256 mode in which I run Windows is
not listed among them. When Sylvie Gallet found this out, she never
bothered to tell me how I can get around this problem. Could someone who
knows about C and Assembly please tell me how I can modify the source cod=
e
to get this mode to work in Fractint?

Please don't think the answer will be too complicated for me.

Collin Merenoff

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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Re: video modes
Date: 14 Jan 1999 13:29:55 -0500

Never mind, I just got an answer from Sylvie Gallet.

Sorry! :)

Collin Merenoff

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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Re: video modes
Date: 14 Jan 1999 13:37:20 -0500

She did, however, say that she's not a programmer. Is one of you a
programmer that would know how to do this?

Collin Merenoff

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From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) True Colour
Date: 15 Jan 1999 10:15:47 GMT

How are the "True-Colour" video modes in FractInt supposed to work? 
All I get is lots of shades of blue and green. The video mode entries 
don't seem to say how many colours you get in these modes, they just 
say things like "15k", which means nothing to me.

On a slightly different note, would it be possible to create a disk 
video mode using more than 256 colours just be editing FRACTINT.CFG? 
Sorry, I'm just greedy like that!
Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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From: "Jason Hine" <tumnus@together.net>
Subject: Re: (fractint) True Colour
Date: 15 Jan 1999 07:42:39 -0500

Andrew Coppin asked:


>How are the "True-Colour" video modes in FractInt supposed to work?
>All I get is lots of shades of blue and green. The video mode entries
>don't seem to say how many colours you get in these modes, they just
>say things like "15k", which means nothing to me.


The current version of Fractint has a very minimal amount of true-color support;
you can use one of the true color video modes, but palettes in Fractint are
still limited to 256 colors, so when you view a fractal in one of these modes,
you see 256 slightly different shades of blue and green.  The "15k" is a
notation that makes use of the metric system, and means "fifteen thousand"
colors.

>On a slightly different note, would it be possible to create a disk
>video mode using more than 256 colours just be editing FRACTINT.CFG?
>Sorry, I'm just greedy like that!

I believe so, but the results in Fractint would be similar... you must save the
images and re-color them in another software, or better yet, save the .par for
your fractal and load it into Ultra Fractal, which has good true-color support.
The URL where you can find Ultra Fractal escapes me at the time... sorry!

Jason Hine


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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Winter pinwheel
Date: 15 Jan 1999 08:01:05 -0500

This one just sort of popped up as I was experimenting with some pastel
color maps. Some of the color brightness gradients contribute to a sense of
depth, giving it a paper cutout look.

Enjoy.

Bill Decker

snowheel           { ;  (c) Bill Decker Jan 13, 1999 t=  0:01:05.64
                     ;  on P100 1024x768
  reset=1960 type=formula formulafile=0bill.frm
  formulaname=bills_wonder2 function=log/ident passes=1
  center-mag=-0.0515424/0.0351789/1.814173/1/-90
  params=3.01/3/2/2/100000/0 float=y potential=255/200/0 periodicity=0
  colors=000<30>F0FF0FG1GG2G<27>UUUVVVVVWWWXWWY<27>iiyjjzjjzkkz<30>zzzzzzy\
  yz<28>kkzkkzjjyjjx<28>WWWWWWVWVVWVVWV<26>HWHGVGGVGFUFFTF<28>000
  }

frm:bills_wonder2  {
  z = 1/pixel, a = real(p1), b = imag(p1):
  ztemp = z^a - z^b
  z = (fn1(ztemp)^p2)/fn2(z)
  |z| < real(p3)
}




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From: "Frederik Slijkerman" <fjslman@wins.uva.nl>
Subject: Re: (fractint) True Colour
Date: 15 Jan 1999 14:22:42 +0100


> The URL where you can find Ultra Fractal escapes me at the time... sorry!

http://www.ultrafractal.com/

Best regards,
Frederik.


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From:	"Fliguer, Miguel" <M_Fliguer@miniphone.com.ar>
Subject: RE: (fractint) True Colour
Date: 15 Jan 1999 10:52:24 -0300


>>> http://www.ultrafractal.com/

Looks good. Unfortunately, when I try to retrieve the full size 
images from the gallery, I get :

403 Forbidden
Access to the document /~fjslman/image_02.jpg is denied for some reason.


Possible reasons are:
     The document you requested is not world readable 
     The account of the owner of the file has been disabled 
     Access to this document is only granted to certain hosts 
www@wins.uva.nl



Miguel Fliguer - Buenos Aires, Argentina
Franktal Gallery - Shut Up And Draw Yer Fractals
http://members.xoom.com/fliguer/franktal.html



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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) my first par (based on Snaketree)
Date: 15 Jan 1999 10:59:47 -0500

test               {
  reset=3D1960 type=3Dformula formulafile=3Dfrac_art.frm
  formulaname=3Dsnaketree3 passes=3Dt
  center-mag=3D+1.66406732314922900/-0.01369319868715437/25641.02/1/-90
  params=3D0.01/0/0.5/0 float=3Dy maxiter=3D2000 bailout=3D100 inside=3Dm=
axiter
  logmap=3Dyes symmetry=3Dxaxis periodicity=3D10
  colors=3D000xVb<14>yOd5CE<33>gojhpkgoj<25>HIXGHWGIV<15>AaJ9cJ9dI9eIAfK<=
34>\
  TjrTjsWhi<2>abIc`8c`8<44>Jd1Jd1Kc3<27>WbvWbwYav<23>wZaxZaxZa<8>xVb
  }

SnakeTree3 {
z=3Dpixel, a=3D0, b=3D10000*p1*p1:
y=3D1-cos(p1*a), z=3D((-z)^(1.06+y/b)+3.4)*(1-p2*y), a=3Da+1
|z|<=3D100
}


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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: (fractint) First 4 pars
Date: 18 Jan 1999 10:13:21 -0300

Hi all.

These are my first attempts on fractals. They're rather naive, but I'm st=
ill
trying to understand how come if you see that colored default palette it
won't be that colored at all by using another
one (I mean having different colors, not a quasi-continuum color). And I
still don't know how to get that 3d smooth quality that some of the fract=
als
I saw do have.

The Yellow Snow resembles to me Nanook, the Frozen Eskimo, eating some
doggie snow. But I know it seems like one of the snakes you can find at t=
he
beginning of Out of this world, if you know what I'm talking about. FZ,
please forgive me.

The Blue Pulsar, began as a vain attempt on having some flowers out of th=
e
A0 formula. In some part of the original drawing you can see a kind of
garden. But for some reason it didn't get the right colors. Instead it
seemed like a skeleton and I disliked it. But looking at the garden I cou=
ld
see a starlike form. Then I zoomed the star and again had the same proble=
m
by trying to color it. I wanted a Black Star, not a Blue Pulsar, but the
latter won.

The Fire Spear is like a ray emerging from a volcano. I liked the colors =
in
it, though it has nothing special.

Train to Mars is based on a magnetic fractal. I liked the colors too, and
the image of Mars shining above the railways.

Talking about names, of course the first one is named after Frank Zappa's
Don't Eat The Yellow Snow song. And the Pulsar is the first name I grabbe=
d
knowing that I won't (by now) get a Black Star, the Radiohead's song. I d=
o
think that fractals and music have a strong relationship. Haven't you tri=
ed
Bach yet?

Hope you like them.

Nice week,

Alejandro

The_Yellow_Snow    { ; by Alejandro Kainer - Jan 17, 1999 t=3D 0:04:56.55
                     ; on a 486-100
                     ; palette by Ron Barnett
                     ; based on PRN_02 formula
  reset=3D1960 type=3Dformula formulafile=3Dale.frm formulaname=3Dprn_02
  function=3Dsin/sqr/sinh center-mag=3D-0.285357/1.5/3.875969
  params=3D0/0/0/0 float=3Dy
  colors=3DWWW<50>lD6lC6lD6<79>zy0zz0zz0zz0<64>XH0WG0WG0WG0<50>WWW
  cyclerange=3D0/255
  }

Blue_Pulsar        { ; by Alejandro Kainer - Jan 17, 1999 t=3D 0:02:05.62
                     ; on a 486-100
                     ; based on Miguel Fliguer's A0 formula
  reset=3D1960 type=3Dformula formulafile=3Dale.frm formulaname=3Da0
  function=3Dsqrt/recip/sqr/sqr
  center-mag=3D-0.62167906750000000/+0.54511803400000000/148.9825/0.6834
  logmode=3Dfly
  colors=3D00000K<17>002000000000<29>00k00m01m<29>0ky0mz1mz<30>zzz<46>2zz=
0zz\
  0yz<45>02z00z00y<40>00L
  }

Fire_Spear         { ; by Alejandro Kainer - Jan 17, 1999 t=3D 0:00:39.93
                     ; on a 486-100
  reset=3D1960 type=3Dbarnsleym1
  center-mag=3D1.27658/7.957e-006/4.901769/1/90 params=3D0/0
  colors=3D000FFF<29>x11z00z10<29>zx0zz0zz1<29>zzxzzzzzz<61>zV1zU0zU0zT0<=
28>\
  z10z00z00y00<30>c00b11a11`22_22<25>FFF
  }

Train_to_Mars      { ; by Alejandro Kainer - Jan 17, 1999 - t=3D 0:00:17.=
85
                     ; on a 486-100
  reset=3D1960 type=3Dmagnet2j
  center-mag=3D+4.86608260325406700/+4.40734557595993900/1.677476/1.1553/=
-90
  params=3D0/0 float=3Dy periodicity=3D0
  colors=3D000<14>w00004<14>w04008<14>w0800C<14>w0C00G<14>w0G00K<14>w0K00=
O<1\
  4>w0O00S<14>w0S00W<14>w0W00_<14>w0_00c<14>w0c00g<14>w0g00k<14>w0k00o<14=
>\
  w0o00s<14>w0s00w<14>w0w
  }

________________________________
Alejandro Gustavo Kainer
Sirti Argentina S.A.
Hip=F3lito Irigoyen 4848
(1602) - Florida - Bs.As.
ARGENTINA
Tel: (54)-1-760-0061 - Int. 1417 / 1418
Fax: (54)-1-760-0095
e-mail: alejandro.kainer@usa.net
________________________________


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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Taffy Pull
Date: 18 Jan 1999 08:12:52 -0500

That's not a very original name, but I was in a hurry when I named it. I
like the glossy effect in some areas of the image and the feeling of depth
in other areas. The bridge-like structures seem quite solid, yet
paradoxically, delicate.

Enjoy.

Bill Decker

taffy-pull         { ;  (c) Bill Decker Jan 18, 1999 t=  0:02:31.54
                     ;  on P100 1024x768
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=bills_xy-trade4 function=sin/tan passes=1
  center-mag=0.479995/0.363266/0.3745722/1/-32.494
  params=1/-1/1/-5/1/200 float=y logmode=fly potential=255/100/0
  rseed=-2436
  colors=000<41>K00K00K10L20<38>cV0dW0dW1eX2<39>yyxzzzzyz<39>g2Xf0Wf0W<39>\
  N01M00M00L00<40>000
  }

frm:bills_xy-trade4  {
  a = real(p1), b = imag(p1)
  c = real(p2), d = imag(p2)
  e = real(p3), f = imag(p3)
  z = pixel+1/pixel
  zold = pixel^e:
  x = (real(z)-real(zold))^a
  y = (imag(z)-imag(zold))^b
  zold = z
  z = (y +flip(x))
  z = (fn1(z))^c - (fn2(zold))^d
  |z| < f
}




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From:	"Fliguer, Miguel" <M_Fliguer@miniphone.com.ar>
Subject: (fractint) PARs from the A0/A1 formulae
Date: 18 Jan 1999 13:10:06 -0300

The following A0 pars are zooms, displacements and recolorings 
of the recent Blue_Pulsar (no change in the functions).
Buen comienzo, Alejandro !  The A1 pars are the first tests 
with this formula (an attemp to introduce some parameters
in A0 )

ENJOY !!!!!

----


Maelstrom          { ; by Miguel Fliguer - 1999
                           ;
  reset=1960 type=formula formulafile=miguel.frm formulaname=a0
  function=sqrt/recip/sqr/sqr
 
center-mag=-0.98051416054843480/-0.35007324217454940/1117018/1/22.531/-8
\
  .807 float=y maxiter=20000000 logmode=fly
 
colors=000GA6<12>511511621<60>qdOrePqdO<22>SD4QB3RC4<14>B53942942<3>8425
\
  42<6>eWJ<23>111<46>pdOrePreP<48>GA7
  }

Opposed            { ; by Miguel Fliguer - 1999
                           ;
  reset=1960 type=formula formulafile=miguel.frm formulaname=a0
  function=sqrt/recip/sqr/sqr
 
center-mag=-0.98053071943042300/-0.35007544984948970/39962.44/1/22.531/-
\
  8.807 float=y maxiter=20000000 logmode=fly
 
colors=eVM0IV0FT<18>0Uu<37>021010000220<24>wwu<9>fYNeVKeVK<3>ZL6XI2VF0<1
\
 
0>wU0<22>QD0OC0OC0OC0<7>w00<22>OO0<22>ww0<27>II0HK2<12>2tq0wu0ut<14>0KX
  }

Broken_Vitraux     { ; by Miguel Fliguer - 1999
                           ;
  reset=1960 type=formula formulafile=miguel.frm formulaname=a0
  function=sqrt/recip/sqr/sqr
 
center-mag=-0.73880695075295640/-0.31763072437293130/83.97749/1.142/-39.
\
  298/4.438 float=y logmode=fly
 
colors=eVM08D<7>021010000220<24>wwu<9>fYNeVKeVK<3>ZL6XI2VF0<10>wU0<22>QD
\
 
0OC0OC0OC0<7>w00<22>OO0<22>ww0<27>II0HK2<12>2tq0wu0ut<16>0FT<18>0Uu<28>0
\
  9F
  }

Universe_Warmstart { ; by Miguel Fliguer - 1999
                                 ; 
  reset=1960 type=formula formulafile=miguel.frm formulaname=a1
  function=cosxx/tan/cos
  center-mag=0.663284/-0.157081/32.79894/1/54.999
  params=0.6/0/0.1/0/0.2/0 float=y maxiter=200000 outside=imag
  potential=255/235/0 decomp=256
 
colors=eVMNNL<15>wwu<9>fYNeVKeVK<3>ZL6XI2VF0<10>wU0<22>QD0OC0OC0OC0<7>w0
\
 
0<22>OO0<22>ww0<27>II0HK2<12>2tq0wu0ut<16>0FT<18>0Uu<37>021010000220<7>K
\
  KI
  }

We_Come_In_Peace   { ; by Miguel Fliguer - 1999
                                   ; 
  reset=1960 type=formula formulafile=miguel.frm formulaname=a1
  function=cosxx/tan/cos center-mag=7.70784/0.0535083/0.485162/1/90
  params=0.6/0/0.1/0/0.2/0 float=y maxiter=200000 outside=imag
  potential=255/235/0 decomp=256
 
colors=eVM0IZ<14>0Uu<37>021010000220<24>wwu<9>fYNeVKeVK<3>ZL6XI2VF0<10>w
\
 
U0<22>QD0OC0OC0OC0<7>w00<22>OO0<22>ww0<27>II0HK2<12>2tq0wu0ut<16>0FT<2>0
\
  IY
  }


frm:a0 {; (c) by Miguel Fliguer 
z=c=pixel:
z=fn1(z/fn2(z/fn3(z/fn4(z))))+c
|z|<4
}

frm:a1 {; (c) by Miguel Fliguer 
z=c=pixel:
z=fn1(p1*z/fn2(p2+z/fn3(p3-z/fn1(z))))+c
|z|<4
}



Miguel Fliguer - Buenos Aires, Argentina
Franktal Gallery - Shut Up And Draw Yer Fractals
http://members.xoom.com/fliguer/franktal.html



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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: (fractint) One par
Date: 19 Jan 1999 16:48:54 -0300

Hi all,

This is a new par based on Bill Decker's formula. It reminded me a noctur=
nal
view from a hill down to a coastline (I swear I did not drink or smoke
anything, it's just my imagination - No animals were harmed during the
making of this fractal). Hope you like it.

Ale

Night_at_sea       { ; by Alejandro Kainer - Jan 18, 1999 t=3D 0:11:01.19
                     ; on a 486-100
                     ; palette lindaa04.map
                     ; based on bills_xy-trade4
  reset=3D1960 type=3Dformula formulafile=3Dale.frm
  formulaname=3Dbills_xy-trade4 function=3Dsin/tan
  center-mag=3D-1.46684/1.31219/7.752203 params=3D-1/1/-5/1/200/1
  logmode=3Dfly
  colors=3D0D0<7>020000001002<14>8Rv9Tz9Sy<25>12M00K00J<16>000300600800<2=
>I1\
  0L10O20R30<2>Z50a60c70e80<2>lC0nD0oE0qF0<3>wM0xN0xO0yQ0<2>zV0zW0yT0<2>s=
J\
  0qF0nE0mE0<6>T50Q30O30<4>C00<11>100000101200<28>k0y<8>K0O<18>403000<2>0=
1\
  0020040<26>0d00f00e0<21>0D0
  }

________________________________
Alejandro Gustavo Kainer
Sirti Argentina S.A.
Hip=F3lito Irigoyen 4848
(1602) - Florida - Bs.As.
ARGENTINA
Tel: (54)-1-760-0061 - Int. 1417 / 1418
Fax: (54)-1-760-0095
e-mail: alejandro.kainer@usa.net
________________________________


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-------------------------------------------------------------------------------

From: Fabio Fazzi <fazzi@dada.it>
Subject: (fractint) Fabio
Date: 19 Jan 1999 13:13:00 +0100

Hi everybody! My name's Fabio and I'm from Italy. I'm novel about Fractals, I
downloaded Fractint 19.6 for Dos, also I've got WinFract 16.x; I can change
colors in Winfract but not in Fractint, can somebody explain me how i can
change colors (as Volcano, Blue, etc...)? Thank you very much. Yours faithfully
Fabio.
Fabio Fazzi                          
fazzi@dada.it           
fax74@technologist.com               
ICQ:12650354                         
http:\\www.geocities.com\SunsetStrip\Pit\5779\index.htm
Cso Indipendenza 30A
15033 Casale Monferrato (AL), Italy


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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: (fractint) Changing Colors in Fractint
Date: 19 Jan 1999 20:21:50 EST

There are two ways:

1:  for color maps already in existence  ( many are available at many of the
fractint support links), you simply hit "C" for color and "L" for list, and
select one of the available color maps.  If the first one is not satisfactory,
then hit "L" again, and the list comes back.  When  you find one you like, you
will notice the border is lighter color- hit escape and you will be back in
fractint with full menu availability

2:  The other way is to design them yourself.
hit "E" and you will see a ghosted box.  Move it to where you can view your
fractal and hit enter.  This brings up your color pallett.  Move the cursor
into the area and select the colors you wish to edit.  Reading the help files
on pallette manipulation will help you here tremendously.

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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) Ultra Fractal pages
Date: 20 Jan 1999 00:24:04 -0500

Two pages at my Geocities website have been extensively revised. The
Chebyshev and the Zf_Ang pages are now entirely made up of multi-layered
true color images generated with Ultra Fractal. Some of the images are
reworked Fractint pars; others
are new. I hope you'll enjoy your visit.

Gedeon

--
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: January 20, 1999 - two Ultra Fractal pages added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: "Paul N. Lee" <Paul.N.Lee@Worldnet.att.net>
Subject: (fractint) The FOTD website....
Date: 19 Jan 1999 23:44:27 -0600

Greetings,

I got an email this evening from the folks at my ISP.  A portion of that
message reads as follows:

    Your AT&T WorldNet Personal Web Page at
    http://home.att.net/~Paul.N.Lee/FotD/FotD.html
    is terrific-- so good, in fact, that we’ve added it to
    our Member Showcase listing for Science & Technology.
    It’s where we feature the most interesting and active
    community sites in AT&T WorldNet Community Port. You’ll
    definitely get more traffic and visibility for your site
    as a result of your hard work.

To see the Web site listed with their other top community Web sites,
please go to  http://community.att.net/community/showcase/index.html.

P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) True color Zf_Angs
Date: 20 Jan 1999 00:44:12 -0500

Paul,

I have missed your postings lately. Having started working with Ultra
Fractal a short time ago, the first formula I worked with in it was my
old favorite, your Zf_Ang. I have replaced the images on my old Zf_Ang
page at my Geocities website with these true color images. I thought you
might like to see them. Thanks for your fine formula!

Gedeon
--
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: January 20, 1999 - two Ultra Fractal pages added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) The FOTD website....
Date: 20 Jan 1999 10:38:54 -0600

Paul, Jim,

Congratulations!

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: RENRAD1@aol.com
Subject: Re: (fractint) The FOTD website....
Date: 20 Jan 1999 16:27:31 EST

Congratulations Paul and Jim!   

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: Re: (fractint) Fabio
Date: 20 Jan 1999 18:09:34 -0500

Fabio Fazzi wrote:
> 
> 
> I can change colors in Winfract but not in Fractint, can somebody explain me how i can
> change colors (as Volcano, Blue, etc...)? 

Fabio--

With your image loaded (or even while it's still loading), press "C",
then press "L".  This will allow you to load any colormap in the
Fractint directory.  You can cycle the colors by pressing "C" again, and
stop cycling by pressing "C" yet again.  The "<" and ">" keys change the
cycling direction.  Once you have the look you want, press "ESC" to get
back to normal Fractint operations.  I hope this is clear; I change and
cycle colors without really hinking about the steps...

Regards, Paul DeCelle

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-------------------------------------------------------------------------------

From: Paul DeCelle <PaulDC@prodigy.net>
Subject: Re: (fractint) Changing Colors
Date: 20 Jan 1999 18:21:53 -0500

Oops, looks like Fabio's question already got answered.  Guess I should
read ALL my mail before replying (66 messages waiting after a two day
absence!)

Paul

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-------------------------------------------------------------------------------

From: "Ognen Ivanovski" <milkman@soros.org.mk>
Subject: (fractint) Fw: Fractint & it's color decomposition
Date: 21 Jan 1999 00:35:57 +0100

Hi everyone.
I found the address of Lee Crocker, the author of the Decomposition coloring
method on Fractint's cerdits screen.
I've sent the message below to that address but the author could not be
reached thatways.
So I am hoping that he'll read this message.
Also, if anyone else knows the answer, it would be nice to read it.
Once my project is built, be sure it will be a good source of unusual
"geneticaly engeineered" formulas.

Thanks in advance.
Ognen

-----Original Message-----


>Hello,
>
>I'm a computer science student who has his love for fractals since early
>highschool. At last I got the oportunity to do something with it, i.e. to
>learn about fractals better.
>
>Now, I am working on a project that I call The Genetic Artist. Using
Genetic
>Algorithm I'm supposed to make a population of fractals (roughly speaking)
>to mate between themselves and produce "better" ones. The more the fractal
>is "fit" the better are the chances to spread it's genes. The fitness is
>based on votes from the visitors of the project's page.
>
>I borrowed the idea from a project that appears at  gatech.edu (called
DNA).
>They are using fractint to generate their images. But I want to make my own
>generator (so I can learn the process throughly) and some of the images
that
>I intend to use as generation one are that beautiful due to using
>decomposition.
>
>In Fractint's Help there is a rough explanation of how it is done. Could
you
>explain the process to me in short terms. All I need to know is:
>
>When the iterations stop at a value of (x, z) and the decomposition factor
>is 64 (I like that value best) how do I determine the color of the pixel
>(ranging 0..255)?
>
>I hope I'm not asking too much of your time. I'd love to send a .par file
in
>exchange for the information. Also when I finish the project I'd like you
to
>come to the web page and see how the generations are going.
>
>Needless to say that my first mean of relaxation at home is of course
>spending hours in front of fractint. :)
>
>Thanks in advance,
>Ognen Ivanovski
>student at the Institute of Informatics
>University of "St. Cyril and Methodius"
>Skopje, Macedonia (former Yougoslav Republic of)
>
>_____
>http://eon.pmf.ukim.edu.mk/~milkman/ [coming soon]
>


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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Re: Decomposition
Date: 20 Jan 1999 19:43:00 -0500

I would assume that the way this is done is by repeatedly squaring the
value from the final iteration. A binary number would be built up from le=
ft
to right. The first (leftmost) bit would be one when the final iteration
has a negative real part or zero when the final iteration has a positive
real part. The second bit would be determined the same way from the squar=
e
of the final iteration; the third, from the fourth power of the final
iteration; etc.

If any of these values has a zero real part, it would be grouped with
either the positive or negative real parts; it's up to you. However, you
would have to be consistent.

Note: I haven't actually checked the source code on this. It just seems t=
he
sensible way decomposition would be done. If someone knows a mistake in
this algorithm, please let both of us know.

Collin Merenoff

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Re: Decomposition
Date: 20 Jan 1999 19:35:58 -0600

Collin,

Actually I'd expect the decomposition to simply be read off from the angle
directly. You could keep squaring the number, but if you don't add c each
time this has precisely the same effect, but it also increases the
magnitude of the number substantially each time, and if your bailout is set
too high you will overflow.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Re: Decomposition
Date: 20 Jan 1999 18:47:28 -0700 (MST)

That's my understanding, too.  Setting "decomp=n" will cause Fractint to
color the image by breaking the final polar angle into n segments.  Binary
decomposition would come from setting decomp=2.  Then, all the angles from
0 to pi would be rendered in one color, and pi to 2*pi in another.

Kerry

Kerry Mitchell
lkmitch@primenet.com    www.primenet.com/~lkmitch/

On Wed, 20 Jan 1999, Damien M. Jones wrote:

> Collin,
> 
> Actually I'd expect the decomposition to simply be read off from the angle
> directly. You could keep squaring the number, but if you don't add c each
> time this has precisely the same effect, but it also increases the
> magnitude of the number substantially each time, and if your bailout is set
> too high you will overflow.
> 
> Damien M. Jones   \\


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-------------------------------------------------------------------------------

From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) web-site has been moved
Date: 20 Jan 1999 21:12:53 -0500

Hi All,

I moved my site to

http://www.joweber.de

and added a new page. Cheers --Jo--

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-------------------------------------------------------------------------------

From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) Algorithm for Decomposition
Date: 21 Jan 1999 10:36:45 GMT

To draw a fractal with binary decomposition, e.i. decomp="n":

  1. Do the usual calculation for the pixel colour exactly as normal.
  2. Instead of using the iteration count for the colour value...
    a) Work out the imaginary part of the final value of Z (or 
whatever) divided by the real part.
    b) Take the arc-tangent of this value.
    c) You now have an angle (radians!) between +Pi and -Pi.
    d) Split that range into "n" intervals, and see which interval 
contains your angle. The number of this interval is than the pixel 
colour.

Simple.
Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) Set Union
Date: 21 Jan 1999 11:23:37 GMT

I'm working with the formula (Z^3) - 3(A^2)Z + B, which is 
(apparently) a generalization of all possible 3rd degree polynomials. 
I've got Julia sets working fine, but I'm having trouble with the M 
set. You see, with the good old quadratic M you must iterate one 
point, zero, and see where that goes. However, for this Cubic M, 
there are two points to worry about, +A and -A. So there are two M 
sets, M+ and M-. I've got formulas for these working just fine, but M 
itself is the Union of M+ and M-. How do I do that in FractInt?

P.S. For anyone interested, you can do these Julias with

CubicJulia = {
  A = p1,
  B = p2,
  T = 3*A*A,
  Z = Pixel:
    Z = Z*Z*Z - T*Z + B,
  |Z| < 4
}

For anyone wanting to see the M set (or M+ or M-), there's an 
additional problem: they're 4-dimensional!!! I can do slices parallel 
to the "A" plane of the "B" plane (B looks best). For example

CubicMandelbrotBP = {
  A = p1,
  B = Pixel,
  T = 3*A*A,
  Z = A:
    Z = Z*Z*Z - T*Z + B,
  |Z| < 4
}

That gives you M+ in the B plane. To change it to the M- set, change 
"Z=A" to "Z=-A". To change to the "A" plane, replace "A=p1" with 
"A=Pixel" and replace "B=Pixel" with "B=p1".

P.P.S Yes, I *KNOW* that M+ and M- are symmetrical.

Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: Re: (fractint) Set Union
Date: 21 Jan 1999 11:50:24 GMT

O.K., I've solved it. I've managed to find a quick work arround. If 
you use two orbit variables, X and Y, and initalize them to +A and -A 
respectivly, then run them both though the normal iteration formula, 
then at the end of each iteration assign the one with the highest 
magnitude to be the value of Z, then use |Z| < 4 as your bailout. 
Behold:

CubicMandelbrotB = {
  A = p1,
  B = Pixel,
  T = 3*A*A,
  X = A,
  Y =-A,
    X = X*X*X - T*X + B,
    Y = Y*Y*Y - T*Y + B,
    if(|X|>|Y|)
      Z=X
    else
      Z=Y
    endif
  |Z| < 4
}

By reversing the ">" in the if() to an "<" you can do intersection 
instead. So this method works, but it's sssssllooooowwww. If anyone 
has a faster idea I'd just love to hear it.

Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 10:25:21 -0300

Hi Andrew,

I know that maybe it's nonsense, but have you tried putting A^2 and X^3 and
Y^3 instead of A*A and X*X*X and Y*Y*Y?. Maybe the formula parser process it
faster if it doesn't have to work with three or two variables at the same
time...

Ale

PS: I'm still trying to understand how the formulas work, so forgive me if I
ignore some facts that may result obvious to others.

________________________________
Alejandro Gustavo Kainer
e-mail: alejandro.kainer@usa.net
________________________________

-----Original Message-----
De: Andrew Coppin <KHCM8AC@dmu.ac.uk>
Para: fractint@xmission.com <fractint@xmission.com>
Fecha: Jueves 21 de Enero de 1999 09:01
Asunto: Re: (fractint) Set Union


O.K., I've solved it. I've managed to find a quick work arround. If
you use two orbit variables, X and Y, and initalize them to +A and -A
respectivly, then run them both though the normal iteration formula,
then at the end of each iteration assign the one with the highest
magnitude to be the value of Z, then use |Z| < 4 as your bailout.
Behold:

CubicMandelbrotB = {
  A = p1,
  B = Pixel,
  T = 3*A*A,
  X = A,
  Y =-A,
    X = X*X*X - T*X + B,
    Y = Y*Y*Y - T*Y + B,
    if(|X|>|Y|)
      Z=X
    else
      Z=Y
    endif
  |Z| < 4
}

By reversing the ">" in the if() to an "<" you can do intersection
instead. So this method works, but it's sssssllooooowwww. If anyone
has a faster idea I'd just love to hear it.

Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: Paul Derbyshire <pderbysh@usa.net>
Subject: Re: (fractint) Set Union
Date: 21 Jan 1999 10:24:14 -0500

At 11:23 AM 1/21/99 GMT, you wrote:
>I'm working with the formula (Z^3) - 3(A^2)Z + B, which is 
>(apparently) a generalization of all possible 3rd degree polynomials. 
>I've got Julia sets working fine, but I'm having trouble with the M 
>set. You see, with the good old quadratic M you must iterate one 
>point, zero, and see where that goes. However, for this Cubic M, 
>there are two points to worry about, +A and -A. So there are two M 
>sets, M+ and M-. I've got formulas for these working just fine, but M 
>itself is the Union of M+ and M-. How do I do that in FractInt?

I've created images for this type of fractal by superimposing images for
both critical points. I even have Fractint formulas to generate such
images; they use color ranges to color various areas...
-- 
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
-()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     pderbysh@usa.net
Programmer & Humanist|ICQ: 10423848|

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-------------------------------------------------------------------------------

From: George Martin <GGMARTIN@compuserve.com>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 11:22:14 -0500

Ale wrote:

>
I know that maybe it's nonsense, but have you tried putting A^2 and X^3 a=
nd
Y^3 instead of A*A and X*X*X and Y*Y*Y?. Maybe the formula parser process=

it  faster if it doesn't have to work with three or two variables at the
same time...
<

The "fast" parser used with floating point math calculates x*x with the
same function as x^2, so there is no speed up here.

George Martin

 =


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 10:03:47 -0600

Ale,

 - I know that maybe it's nonsense, but have you tried putting A^2 and
 - X^3 and Y^3 instead of A*A and X*X*X and Y*Y*Y?. Maybe the formula
 - parser process it faster if it doesn't have to work with three or
 - two variables at the same time...

Not at all--exponentiation is a very expensive process, but multiplication
is relatively cheap. In fact, sqr(A) is faster than A*A.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 14:11:50 -0300

Damien,

OK, I understand that exponentiation is expensive. But you wrote "In fact,
sqr(A) is faster than A*A". How could that be? I mean, I think that the
function sqr() acts the same as A*A, but first the parser has to translate
it. Doesn't it mean an expensive way of doing the same thing too?

Ale

-----Original Message-----
De: Damien M. Jones <dmj@fractalus.com>
Para: fractint@lists.xmission.com <fractint@lists.xmission.com>
Fecha: Jueves 21 de Enero de 1999 13:52
Asunto: RE: (fractint) Set Union


>Ale,
>
> - I know that maybe it's nonsense, but have you tried putting A^2 and
> - X^3 and Y^3 instead of A*A and X*X*X and Y*Y*Y?. Maybe the formula
> - parser process it faster if it doesn't have to work with three or
> - two variables at the same time...
>
>Not at all--exponentiation is a very expensive process, but multiplication
>is relatively cheap. In fact, sqr(A) is faster than A*A.
>
>Damien M. Jones   \\
>dmj@fractalus.com  \\  Fractalus Galleries & Info:
>                    \\  http://www.fractalus.com/
>
>Please do not post my e-mail address on a web site or
>in a newsgroup.  Thank you.
>
>--------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
>Post Message:   fractint@lists.xmission.com
>Get Commands:   majordomo@lists.xmission.com "help"
>Administrator:  twegner@phoenix.net
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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Re: Sqr function
Date: 21 Jan 1999 12:25:10 -0500

The expansion of (a+bi)^2 is (a^2-b^2)+2abi. If this were done with regul=
ar
multiplication, you would multiply a by a, multiply b by b, and then
subtract. However, a faster way to do this, which Sqr probably takes
advantage of, is to factor the real part as (a+b)(a-b). This would give y=
ou
one addition, one subtraction, and one multiplication. Since addition is
cheaper (faster) than multiplication, this is probably how Sqr(z) can be
faster than z*z. Note that this shortcut works only when the two complex
factors are equal, so it couldn't be programmed into the regular
multiplication operation.

Collin Merenoff

PS: Yes, of course, repeated squaring would cause overflow; I should have=

realized that. However, an easy way to avoid this would be to halve each
square until it is within a certain "safety zone." I think this would be
faster than computing the arctangent.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Re: Sqr function
Date: 21 Jan 1999 11:59:25 -0600

Collin,

 - The expansion of (a+bi)^2 is (a^2-b^2)+2abi. If this were done with
 - regular multiplication, you would multiply a by a, multiply b by b,
 - and then subtract. However, a faster way to do this, which Sqr
 - probably takes advantage of, is to factor the real part as (a+b)(a-b).
 - This would give you one addition, one subtraction, and one
 - multiplication. Since addition is cheaper (faster) than
 - multiplication, this is probably how Sqr(z) can be faster than z*z.

Actually, the differences in cost between multiplication and addition are
almost negligible on a Pentium, and still minor on a Pentium-II. Unless you
are doing assembly programming, you might as well totally ignore the
difference and treat them as equal (at least for floating-point work;
integers are another matter). And when you DO get to the floating-point
level, other considerations come into play, such as pipelining, register
availability, etc. I actually found in several cases it's faster to skip
this "optimization" entirely and use a^2-b^2, especially if you need
a^2+b^2 for bailout (as you do for the M-set and J-sets).

For architectures where multiplication is still expensive (80x486 and
earlier; 680x0; others, no doubt) this optimization makes more sense.

 - PS: Yes, of course, repeated squaring would cause overflow; I should
 - have realized that. However, an easy way to avoid this would be to
 - halve each square until it is within a certain "safety zone." I think
 - this would be faster than computing the arctangent.

Not so much as you'd think. Figure at least ten cycles per bit for the
squaring method, versus 35 to 150 cycles for directly computing the
arctangent (on a Pentium). You can get eight bits in eighty cycles, which
is faster than arctangent in some cases. If you need more bits, you might
as well compute it directly. And don't forget, you only do this calculation
once per point, not once per iteration; this makes optimizing it
considerably less important.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 11:41:55 -0600

Ale,

 - OK, I understand that exponentiation is expensive. But you wrote "In
 - fact, sqr(A) is faster than A*A". How could that be? I mean, I think
 - that the function sqr() acts the same as A*A, but first the parser
 - has to translate it. Doesn't it mean an expensive way of doing the
 - same thing too?

sqr(A) returns the same result as A*A, of course. But as Collin points out,
it is slightly faster because the calculation can be optimized a bit. The
FractInt parser only parses the formula once, it doesn't parse it over and
over. So the cost of parsing sqr(A) versus A*A is only incurred once.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Paul Derbyshire <pderbysh@usa.net>
Subject: RE: (fractint) Set Union
Date: 21 Jan 1999 13:16:06 -0500

At 02:11 PM 1/21/99 -0300, you wrote:
>Damien,
>
>OK, I understand that exponentiation is expensive. But you wrote "In fact,
>sqr(A) is faster than A*A". How could that be? I mean, I think that the
>function sqr() acts the same as A*A, but first the parser has to translate
>it. Doesn't it mean an expensive way of doing the same thing too?

No, the parser doesn't change sqr(x) into x*x and reparse it...
it parses x*y where x=a+bi and y=c+di as (ac-bd) + (bc+ad)i, four fmuls and
an fadd and fsub. (It doesn't care whether y=x in particular so x*x is
still four fmuls...)
It parses sqr(x) into (a+b)(a-b) + 2abi, which is two fmuls and two fadds
and a fsub. (The 2ab is one fmul and a fadd since, assuming Tim Wegener
wasn't drunk or deranged on the day he wrote that particular line of code,
he has it actually work as ab + ab, since the add is less expensive than
another multiply.)

Since multiplies are the main contributors to cycle-eating in mathematical
iterations, we highlight this as follows: x*x causes four multiples and
sqr(x) only two. sqr(x) may be as much as twice as fast depending on how
much more expensive fmuls are than fadds. This might depend on your
processor of course...
-- 
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
-()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     pderbysh@usa.net
Programmer & Humanist|ICQ: 10423848|

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-------------------------------------------------------------------------------

From: "Paul N. Lee" <Paul.N.Lee@Worldnet.att.net>
Subject: Re: (fractint) The FOTD website....
Date: 22 Jan 1999 01:16:03 -0600

Michael Traynor wrote:
>
> Paul,
>
> No surprise, and well deserved.  Congrats.
>

Damien M. Jones wrote:
>
> Paul, Jim,
>
> Congratulations!
>

RENRAD1@aol.com wrote:
>
> Congratulations Paul and Jim!
>


Thank you (one and all) very much !!!

The comments and praise are most welcome.   :-)

Later,
P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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-------------------------------------------------------------------------------

From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) Re: Alejandro Kainer's Message
Date: 22 Jan 1999 10:25:10 GMT

Yeh, it is nonsense. If you read the documents (I can't remember 
exactly where it says so) you'll see that the FractInt authors 
strongly warn *against* using, e.g. Q^5, and say that Q*Q*Q*Q*Q is 
raster (about 4 times faster in my experience). The reason is that 
the "^" operator is designed to work with complex number powers as 
well, which means it's programmed with an X. X. Complicated Formula. 
But never mind, and thanks for the message all the same.

Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: "Andrew Coppin" <KHCM8AC@dmu.ac.uk>
Subject: (fractint) MIDI
Date: 22 Jan 1999 10:41:48 GMT

I had a look on the semi-offical FractInt Wish List, and at the 
botton one of the Authors wrote "MIDI support requires someone who 
understands MIDI". Well, I do, so what on earth is it going to be 
used for in a graphics program?!?!

Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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-------------------------------------------------------------------------------

From: George Martin <GGMARTIN@compuserve.com>
Subject: (fractint) Re: Alejandro Kainer's Message
Date: 22 Jan 1999 09:07:23 -0500

Ale wrote:

>
Yeh, it is nonsense. If you read the documents (I can't remember =

exactly where it says so) you'll see that the FractInt authors =

strongly warn *against* using, e.g. Q^5, and say that Q*Q*Q*Q*Q is =

faster (about 4 times faster in my experience). The reason is that =

the "^" operator is designed to work with complex number powers as =

well...
<

This is correct. If the power is a real integer constant -1, 0, 1, or 2,
the parser recognizes this and does not run the power function ("^"), but=

instead runs recip, one, ident, or sqr respectively. Any other power,
whether real, imaginary or complex, runs the power function, which is one=

of the slowest in the arsenal. Thus real postive integers greater than tw=
o
are likely to run much faster if expressed as multiplication rather than
power, e.g. X*X*X is better than x^3.


Paul wrote:

>
It parses sqr(x) into (a+b)(a-b) + 2abi, which is two fmuls and two fadds=

and a fsub. (The 2ab is one fmul and a fadd since, assuming Tim Wegener
wasn't drunk or deranged on the day he wrote that particular line of code=
,
he has it actually work as ab + ab, since the add is less expensive than
another multiply.)
<

Paul is right. Here is the ASM code for the sqr function:

      fld          st(0)               ; x x y
      fld          st(0)               ; x x x y
      fmul         st,st(3)            ; xy x x y
      fadd         st,st               ; 2xy x x y
      fxch         st(3)               ; y x x 2xy
      fadd         st(2),st            ; y x x+y 2xy
      fsubp        st(1),st            ; x-y x+y 2xy
      fmulp        st(1),st            ; xx-yy 2xy

Note line 4. This code was written by the eminently sober Chuck Ebbert. :=
)

George Martin

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-------------------------------------------------------------------------------

From: comdotatdotcom@csi.com
Subject: RE: (fractint) MIDI
Date: 22 Jan 1999 15:14 0000

Hi Andrew
> "MIDI support requires someone who
>understands MIDI". Well, I do, so what on earth is it going to be
>used for in a graphics program?!?!

It's OK, I'm dealing with it :-) there have been a number of people
interested in turning the chaotic orbits of  fractal caculation into music
of some sort, and since most modern sound cards include
comprehensive wavetable support I guess folks just want their favorite
program to use their new hardware :-)

Cheers,
        Robin.




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-------------------------------------------------------------------------------

From: Bill Jemison <fishburnIII@compuserve.com>
Subject: (fractint) MIDI
Date: 22 Jan 1999 12:54:28 -0500

Robin wrote:

 <there have been a number of people interested in turning the chaotic
 <orbits of  fractal caculation into music of some sort,

You can say that again! Hi Robin...this is my first day on the list.
Anything new on the sound front?

Bill

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-------------------------------------------------------------------------------

From: "Alejandro Kainer" <alejandro.kainer@usa.net>
Subject: RE: (fractint) Re: Alejandro Kainer's Message
Date: 22 Jan 1999 16:24:14 -0300

Thank you, George, but I didn't write that. It was Andrew's writing. By the
way, Andrew, did you solve your problem? Because it seems that my "little
contribution" generated a cascade of boos!! and #@$~~~#@ that displaced your
original question. I promise I will study my fractint lessons before I ever
think of helping someone.

-----Original Message-----
De: George Martin <GGMARTIN@compuserve.com>
Para: Blind.Copy.Receiver@compuserve.com
<Blind.Copy.Receiver@compuserve.com>
Fecha: Viernes 22 de Enero de 1999 15:36
Asunto: (fractint) Re: Alejandro Kainer's Message


Ale wrote:

>
Yeh, it is nonsense. If you read the documents (I can't remember
exactly where it says so) you'll see that the FractInt authors
strongly warn *against* using, e.g. Q^5, and say that Q*Q*Q*Q*Q is
faster (about 4 times faster in my experience). The reason is that
the "^" operator is designed to work with complex number powers as
well...
<

This is correct. If the power is a real integer constant -1, 0, 1, or 2,
the parser recognizes this and does not run the power function ("^"), but
instead runs recip, one, ident, or sqr respectively. Any other power,
whether real, imaginary or complex, runs the power function, which is one
of the slowest in the arsenal. Thus real postive integers greater than two
are likely to run much faster if expressed as multiplication rather than
power, e.g. X*X*X is better than x^3.


Paul wrote:

>
It parses sqr(x) into (a+b)(a-b) + 2abi, which is two fmuls and two fadds
and a fsub. (The 2ab is one fmul and a fadd since, assuming Tim Wegener
wasn't drunk or deranged on the day he wrote that particular line of code,
he has it actually work as ab + ab, since the add is less expensive than
another multiply.)
<

Paul is right. Here is the ASM code for the sqr function:

      fld          st(0)               ; x x y
      fld          st(0)               ; x x x y
      fmul         st,st(3)            ; xy x x y
      fadd         st,st               ; 2xy x x y
      fxch         st(3)               ; y x x 2xy
      fadd         st(2),st            ; y x x+y 2xy
      fsubp        st(1),st            ; x-y x+y 2xy
      fmulp        st(1),st            ; xx-yy 2xy

Note line 4. This code was written by the eminently sober Chuck Ebbert. :)

George Martin

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-------------------------------------------------------------------------------

From: Xylen <mctupper@holly.colostate.edu>
Subject: (fractint) Simply Elegant and a question
Date: 22 Jan 1999 17:34:15 -0700

In a recent newsletter, I learned something interesting.

"That under orthodox Jewish law, the word "God" cannot be destroyed.
You can't, for example, throw away a piece of paper with the word=20
God on it--instead you have to ritually bury it or arrange for its
storage. The inevitable question arose over what to do when computers
are
involved: can you erase the word from a word processing document or from
some other digital form?=20

Last week, one of the leading orthodox rabbis, Rabbi Moshe Shaul Klein,
decided that it was OK to erase or delete digital versions of the word
"God," because they did not contain the actual word, but a composition
of 1s and 0s. If everything is binary underneath, the rabbi reasoned,
then even the word "God" is not actually G-o-d but a series of
numbers."--Alice Hill

Okay, so if everything is binary, including fractals, I guess that means
that they don't really exist. Just a bunch of 1's and 0's.  But we all
know that fractals exist, since we spend a lot of time creating them and
coloring them. :)  Now my questions is--when did fractals first exist?
With the invention of the computer, or did they exist but we were unable
to perceive them? Jim Muth asked where do fractals go when the power
fails. Do they continue to exist or is it really our power of perception
that is lost with the loss of electricity? If they exist only while on
the screen, are we guilty of murder every time we change screens?=20

Sorry about my rambling, but it has been too long since Jim has had a
good philosophical post. To make up for my rambling, here is a PAR.
Instead of seeking infinite detail and a fancy coloring algorithms, this
one is "Simply Elegant."

************************
Minimal            { ; ;
                     ; Dec 10, 1998 (c) Mary Tupper=20
                     ;   0:00:02.58 generation time at 320x
  reset=3D1960 type=3Dmandel center-mag=3D0.0407306/0.873298/5.350562
  params=3D0/0 float=3Dy maxiter=3D2 inside=3Dstartrail
  invert=3D0.4168904722619/0/0
colors=3D00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKO=
O\
OSSSWWW___ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zV\
z<3>zVV<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00\
S<3>S0S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2\
>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3\
>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG\
8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2\
>BGFBGGBFGBDGBCG0NkTTT0EqSSS03xRRR60tQQQ cyclerange=3D1/2
  }

--=20
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Windows 98   Pentium of Borg--=94Prepare to be assimil-Gated=94
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

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-------------------------------------------------------------------------------

From: "Nature Leseul" <nleseul@zurich.crosswinds.net>
Subject: Re: (fractint) Simply Elegant and a question
Date: 22 Jan 1999 19:30:08 -0600

<<If they exist only while on
the screen, are we guilty of murder every time we change screens? >>

  Not any more than things out the window cease to exist when you close the
window. Fractals have been ingrained in the nature of mathematics ever since
God decreed that 1+1=2, so they're there, no matter what.

  Which brings up another point that I've been wondering about for some
time. If you've read Carl Sagan's novel Contact, the final scene involves
the discovery of a message from God ingrained in the nature of the universe,
specically in a deep decimal place in the value of pi, supposedly since God
would want to leave His signature in something universal and apparent to any
alien race anywhere in the universe. But the value of pi is ingrained in the
nature of the circle, which is geometric and not purely mathematical in
nature. It's concievable, although improbable, that an alien race could
exist with no concept of physical shape and thus be unaware of the existence
of the circle. Mathematics, however, is universal, and the process behind
fractal images is purely mathematical. Fractals can be shown to include
chaotic order and/or orderly chaos in both light and sound, and probably
would be able to in other human senses and in alien senses as well. So a
fractal seems like the perfect place for God to leave His "signature" in the
universe.

  Plus, pi was fairly well known to nearly every ancient civilization on the
planet, most of which were still fairly spiritual and faithful to their
god(s). (Even the Bible mentions pi at one point, though it just uses the
value of 3.) Fractals, however, cannot concievably be generated without the
aid of computers. Computers by their nature are unlikely to be developed
except by a race which has succeeded in unlocking a large part of the
physical nature of the universe and is beginning to doubt its faith in God.
If I were God, I'd want to place My signature at exactly the point where a
race with growing science and atheism would find it and reaffirm their faith
in a higher power. Fractals seem perfect for this purpose.

||===================== ||
||   --v^v-[Nature Leseul]-v^v--    ||
||  The weird guy in the corner ||
||          Dreamy Smurf            ||
||             Donatello!               ||
||      "Some are vicious,          ||
||         some are fools,           ||
||        and others blind            ||
||          to see in me,             ||
||       one of their kind."          ||
||  -Anatoly, Endgame (Chess)||
||   "Is this off-topic or what?"   ||
||===================== ||



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-------------------------------------------------------------------------------

From: Genealogy1@aol.com
Subject: (fractint) 3 Mandel types...
Date: 22 Jan 1999 20:29:29 EST

I thought these Mandel type images may interest some of you. They look best 
(too me) at resolution 1600  x  1200. I'd like UltraFractal to be able to
handle these
PHC formulas in the future.

--Bob Carr--

Carr3385                {; Clown's Face.    Copyright 1999 Bob Carr
  reset=1960 type=formula formulafile=43hCarr.frm formulaname=Carr3385
  passes=1 center-mag=-0.000890819/0.0465995/0.8539132/1/180
  params=200/300/400/550 float=y maxiter=647 periodicity=0
  colors=000<10>00048Q45O53M<10>0kt0ow0qn<3>0wF0xG000000000wlZ<10>MF7<14>z\
  o`000700<11>b00e00f70<5>oo0<5>g70e00b00<9>70000000003F<14>Rft<4>0wF<3>K_\
  t<16>15H03F000000``U<13>zyn<14>``U000000F00<15>d00<12>800000<33>0000tX0r\
  e0qn0ow<4>1bm
  }

Carr3385a               { ; A Framed Clown. Copyright 1999 Bob Carr
  reset=1960 type=formula formulafile=43hCarr.frm formulaname=Carr3385
  passes=1 center-mag=0.0010622/-0.019894/0.3939572/1/180
  params=200/300/400/550 float=y maxiter=647 invert=0.25/0/0
  periodicity=0
  colors=000<10>00048Q45O53M<10>0kt0ow0qn<3>0wF0xG000000000wlZ<10>MF7<14>z\
  o`000700<11>b00e00f70<5>oo0<5>g70e00b00<9>70000000003F<14>Rft<4>0wF<3>K_\
  t<16>15H03F000000``U<13>zyn<14>``U000000F00<15>d00<2>X00000<2>000L00<4>8\
  00000<33>0000tX0re0qn0ow<4>1bm
  }

frm: Carr3385(YAXIS){;Modified Sylvie Gallet frm
;passes 1 needs to be used with this PHC formula
pixel=(-abs(real(pixel))+flip(imag(pixel)))
b5=flip(conj(abs((pixel*pixel))))+0.1-conj(0.1/pixel)
b4=flip(conj(abs((pixel*pixel))))
c=whitesq*b4-(whitesq==0)*b4
z=whitesq*b5-(whitesq==0)*b5
c1=1.5*z^1.2,c2=2.25*z,c3=3.375*z,c4=5.0625*z
l1=real(p1),l2=imag(p1),l3=real(p2),l4=imag(p2),l5=300
bailout=16,iter=0,pp2=pixel/imag(p2):
t1=(iter==l1),t2=(iter==l2),t3=(iter==l3),t4=(iter==l4),t5=(iter==l5)
t=1-(t1||t2||t3||t4||t5),z=z*t+0.02/pixel-0.25
c=c*t+c1*t1+c2*t2+c3*t3+c4*t4+c5*t5+pp2+0.0009995
z=(|z|/5)+z*z+c-0.09/pixel
iter=iter+1
(|real(z)|)<=bailout
}


Carr3386              { ; Just beautiful !  Copyright 1999 Bob Carr
  reset=1960 type=formula formulafile=43hCarr.frm formulaname=Carr3386
  passes=1 center-mag=-0.00131402/-0.00173241/1.404666/1/180
  params=200/300/400/550 float=y maxiter=647 periodicity=0
  colors=000<10>FIK<4>000_YS<6>OI5<6>eYJg_LiaNkcPneR<4>zpa<4>jdWgaVcZT`WSY\
  UR<6>AAK000000A3M<11>`Fw<6>5oP<10>007000000000A00<10>c00<16>A00000000UDG\
  <10>zz0<7>``9YYAXVB<6>KAJMAKOAM<12>ziF<13>K8C413000<2>BB8EFAIIDLLG<10>zy\
  n<15>UMH00000000053M<10>5Px<6>5wP<5>5Ur5Px5Ms<6>53M000000
  }

frm: Carr3386(YAXIS){;Modified Sylvie Gallet frm
;passes 1 needs to be used with this PHC formula
pixel=(-abs(real(pixel))+flip(imag(pixel)))
b5=(((pixel^4)*(conj(pixel*1.5)))/(tanh(0.3/pixel)))-0.12
b4=pixel/(tanh(0.3/pixel))
c=whitesq*b4-(whitesq==0)*b4
z=whitesq*b5^0.745-(whitesq==0)*b5
c1=1.5*z^1.2,c2=2.25*z,c3=3.375*z,c4=5.0625*z
l1=real(p1),l2=imag(p1),l3=real(p2),l4=imag(p2),l5=300
bailout=16,iter=0,pp2=pixel/imag(p2):
t1=(iter==l1),t2=(iter==l2),t3=(iter==l3),t4=(iter==l4),t5=(iter==l5)
t=1-(t1||t2||t3||t4||t5),z=z*t+0.02/pixel-0.25
c=c*t+c1*t1+c2*t2+c3*t3+c4*t4+c5*t5+pp2+0.0009995
z=z*z+c
iter=iter+1
(|real(z)|)<=bailout
}


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) 3 Mandel types...
Date: 22 Jan 1999 20:12:33 -0600

Bob,

 - I thought these Mandel type images may interest some of you. They look
 - best (too me) at resolution 1600  x  1200. I'd like UltraFractal to be
 - able to handle these PHC formulas in the future.

Well, the reason Ultra Fractal doesn't like them has nothing to do with
them being PHC formulas (UF handles those fine) but is because this formula
writes a value to "pixel", which in UF is not permitted. I was able to
rewrite Carr3386 to work, but I can't get 3385 to work yet.

A quick look at the formula indicates you are only writing to pixel so as
to enforce horizontal symmetry, which you only need to do in the formula
(instead of by using the symmetry feature in FractInt) because it's a PHC
formula and using built-in symmetry would produce a break in the dither
pattern at the symmetry seam. The idea behind the PHC method is to
composite two fractal shapes, at a 50/50 mix. Ultra Fractal supports this
more effectively through layering, which can take advantage of 24-bit color
and eliminate the PHC dithering. And, you get to pick more than just a
50/50 mix. Layering is like PHC, much the way a Saturn V rocket is like a
firecracker. :-)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) Simply Elegant and a question
Date: 22 Jan 1999 21:39:08 EST

In a message dated 1/22/99 5:31:50 PM Pacific Standard Time,
nleseul@zurich.crosswinds.net writes:

<<  Computers by their nature are unlikely to be developed
 except by a race which has succeeded in unlocking a large part of the
 physical nature of the universe and is beginning to doubt its faith in God.
 If I were God, I'd want to place My signature at exactly the point where a
 race with growing science and atheism would find it and reaffirm their faith
 in a higher power. Fractals seem perfect for this purpose. >>

Amen!  I like the type of fractals that show me this "signature".......

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-------------------------------------------------------------------------------

From: Kerry Mitchell <lkmitch@primenet.com>
Subject: Re: (fractint) Simply Elegant and a question
Date: 22 Jan 1999 19:52:34 -0700 (MST)

On Fri, 22 Jan 1999, Nature Leseul wrote:

>   Which brings up another point that I've been wondering about for some
> time. If you've read Carl Sagan's novel Contact, the final scene involves
> the discovery of a message from God ingrained in the nature of the universe,
> specically in a deep decimal place in the value of pi, supposedly since God
> would want to leave His signature in something universal and apparent to any
> alien race anywhere in the universe. But the value of pi is ingrained in the
> nature of the circle, which is geometric and not purely mathematical in
> nature. It's concievable, although improbable, that an alien race could
> exist with no concept of physical shape and thus be unaware of the existence
> of the circle. Mathematics, however, is universal, and the process behind
> fractal images is purely mathematical. Fractals can be shown to include
> chaotic order and/or orderly chaos in both light and sound, and probably
> would be able to in other human senses and in alien senses as well. So a
> fractal seems like the perfect place for God to leave His "signature" in the
> universe.

Ah, but geometry is one aspect of mathematics, and pi has many
applications in other aspects of mathematics.  For example, if you have a
set of horizontal lines on a piece of paper on a tabletop, and you drop a
toothpick onto the paper, the probability that the toothpick will cross a
line is related to pi.  Also, pi can be found in the Mandelbrot set, in
terms of the relationship between the number of iterations to escape and
the distance of the point from the edge of the set.
 
> Plus, pi was fairly well known to nearly every ancient civilization on the
> planet, most of which were still fairly spiritual and faithful to their
> god(s). (Even the Bible mentions pi at one point, though it just uses the
> value of 3.) Fractals, however, cannot concievably be generated without the
> aid of computers. Computers by their nature are unlikely to be developed
> except by a race which has succeeded in unlocking a large part of the
> physical nature of the universe and is beginning to doubt its faith in God.

I wouldn't go that far.  Fractals (not called that, of course) were know
to mathematicians of many years ago.  For example, Gaston Julia of Julia
set fame (1800's ?) and David Hilbert, of Hilbert curve fame (early
1900's).  Most mathematicians didn't quite know what to do with them
(maybe something like Pythagoras not knowing how to handle irrational
numbers), but they were certainly known.

Also, don't underestimate the computational power of a society without
cable tv.  Log and trig tables to n decimal places have been around for
hundreds of years, as has many decimal places of pi.  Since the
fundamental calculation involved in fractal generation is simple, most
cultures could probably do it, should they choose to.  A great deal of
calculation has been accomplished by dedicated individuals with very
little in the way of (modern) technology.  In fact, the first "computers"
were people, not machines, who calculated such things as projectile
trajectories.

Fractals, in the guise of natural objects, have been around forever, so
it's not inconceivable that non-electronic cultures are making them.

> If I were God, I'd want to place My signature at exactly the point where a
> race with growing science and atheism would find it and reaffirm their faith
> in a higher power. Fractals seem perfect for this purpose.

If I were God, I'd probably make myself more visible to my people.

Kerry



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-------------------------------------------------------------------------------

From: "Nature Leseul" <nleseul@zurich.crosswinds.net>
Subject: Re: (fractint) Simply Elegant and a question
Date: 22 Jan 1999 21:01:28 -0600

<<I wouldn't go that far.  Fractals (not called that, of course) were know
to mathematicians of many years ago.  For example, Gaston Julia of Julia
set fame (1800's ?) and David Hilbert, of Hilbert curve fame (early
1900's).  Most mathematicians didn't quite know what to do with them
(maybe something like Pythagoras not knowing how to handle irrational
numbers), but they were certainly known.>>

  Right, but there were philosophers who started questioning the existence
of God in the Renaissance.

<<Also, don't underestimate the computational power of a society without
cable tv.  Log and trig tables to n decimal places have been around for
hundreds of years, as has many decimal places of pi.  Since the
fundamental calculation involved in fractal generation is simple, most
cultures could probably do it, should they choose to.  A great deal of
calculation has been accomplished by dedicated individuals with very
little in the way of (modern) technology.  In fact, the first "computers"
were people, not machines, who calculated such things as projectile
trajectories.>>

  Agreed, you could calculate fractals by hand, but it would take a whole
lot of scratch paper and a very bored mathematician. And computers make it
far easier to actually explore the full complexity of the M-set and others.

<<If I were God, I'd probably make myself more visible to my people.>>

  Ah, but if we knew Him for sure, then that'd take all the mystery out of
life. :-)

||===================== ||
||   --v^v-[Nature Leseul]-v^v--    ||
||  The weird guy in the corner ||
||          Dreamy Smurf            ||
||             Donatello!               ||
||      "Some are vicious,          ||
||         some are fools,           ||
||        and others blind            ||
||          to see in me,             ||
||       one of their kind."          ||
||  -Anatoly, Endgame (Chess)||
||"Is this off-topic or what?"||
||===================== ||



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-------------------------------------------------------------------------------

From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) Re: Simply Elegant and a question
Date: 22 Jan 1999 23:58:17 -0500 (EST)

At 05:34 PM 1/22/99 -0700, you wrote:

        <snip>
>Sorry about my rambling, but it has been too long since Jim has had a
>good philosophical post.
         <snip>

This situation will soon be remedied!

Jim Muth
jamth@mindspring.com


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-------------------------------------------------------------------------------

From: "Matthew Bennett" <bennett@btinternet.com>
Subject: Re: (fractint) Simply Elegant and a question
Date: 23 Jan 1999 14:08:39 -0000

I know some people have linked Fractals and God's existence, but I'd guess
this sort of thing might not appeal to as many subscribers as more "down to
earth" Fractal topics ;)

There's no problem with the chat that's been going on so far, but I just
thought I'd suggest it wasn't taken too far - before someone gets cross and
fills our mail boxes with angry rubbish (you know the sort that need only
the slightest hint of religion before releasing their "strong opinions").

Don't forget though, I'm not saying anything that has been said so far is
particularly unreasonable for this group (most of the stuff has been
relevant to Fractals) - but just a warning to start changing/ending the
topic (from previous experience with the for and against God arguments!)...


Matt


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-------------------------------------------------------------------------------

From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 12:33:45 -0500 (EST)

At 02:08 PM 1/23/99 -0000, Matt wrote:

>I know some people have linked Fractals and God's existence,

Yes they have!  The connection might or might not be valid, but 
isn't it curious that the abstraction of fractal math can be 
connected in this way in some people's minds with the even more 
abstract idea some call God?

>but I'd guess this sort of thing might not appeal to as many 
>subscribers as more "down to earth" Fractal topics ;)

Yes it might not!  As a result, I suggest we stay "down to earth" 
and limit our search to the fractal dirt instead of aspiring to 
the fractal stars.  :-(

>There's no problem with the chat that's been going on so far, 

That's because it hasn't gone anywhere yet.

>but I just thought I'd suggest it wasn't taken too far - before 
>someone gets cross and fills our mail boxes with angry rubbish 
>(you know the sort that need only the slightest hint of religion 
>before releasing their "strong opinions").

I suppose this implies that the Fractint group has such members.  

>Don't forget though, I'm not saying anything that has been said 
>so far is particularly unreasonable for this group (most of the 
>stuff has been relevant to Fractals) - but just a warning to [not] 
>start changing/ending the topic (from previous experience with the 
>for and against God arguments!)...

You are right.  Mankind has not yet reached the stage of maturity 
where he can intelligently and unemotionally discuss such important 
non-objective topics as religion and the philosophy of science.

So let's stick to objectively real things such as fractals.

Jim Muth
jamth@mindspring.com


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-------------------------------------------------------------------------------

From: Xylen <mctupper@holly.colostate.edu>
Subject: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 11:36:31 -0700



> So let's stick to objectively real things such as fractals.

But are fractals "real"? Intuitively, something isn't real unless I can
touch it, smell it, or taste it. Yes, I can see an image of a fractal,
but is this the real fractal itself or an artifact of 1's and 0's?
Consider a fractal that is viewed at F3 and the "exact" same fractal
viewed at SF3. They look different. Are they the same fractal or just a
different arrangement of bits?

Xylen

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-------------------------------------------------------------------------------

From: Christopher Springer <santini@home.com>
Subject: (fractint) Re: Simply Elegant and a question
Date: 23 Jan 1999 11:03:24 -0800


--------------4D5B890CD7BDC265C71EA918
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit

Matthew Bennet wrote:

There's no problem with the chat that's been going on so far, but I just

thought I'd suggest it wasn't taken too far - before someone gets cross
and
fills our mail boxes with angry rubbish (you know the sort that need
only
the slightest hint of religion before releasing their "strong
opinions").

I sympathize with Matt's position.

BUT we should realize there is a price for "Peace in the Mailbox",
namely that by "giving in" to the mail threat, we have allowed another
group to control our free speech.

I doubt any of us "want" to risk a fight with anybody, but if we let our

tongues be tied today regarding Fractals and God, on what will
we allow them to be tied tomorrow??? And by whom???

Now I'm no hacker, and only have about four months experience on the
Internet, but if every item of email was date stamped upon reciept
and a full copy mailed back to the sender, this would serve
two useful purposes: First, acknowledgement of receipt. Second, anyone
trying to hose another with ludicrous email would equally hose himself.

Any thoughts???

Chris Springer

--------------4D5B890CD7BDC265C71EA918
Content-Type: text/html; charset=us-ascii
Content-Transfer-Encoding: 7bit

<HTML>
<FONT COLOR="#000000">Matthew Bennet wrote:</FONT><FONT COLOR="#FF0000"></FONT>

<P><FONT COLOR="#FF0000">There's no problem with the chat that's been going
on so far, but I just</FONT>
<BR><FONT COLOR="#FF0000">thought I'd suggest it wasn't taken too far -
before someone gets cross and</FONT>
<BR><FONT COLOR="#FF0000">fills our mail boxes with angry rubbish (you
know the sort that need only</FONT>
<BR><FONT COLOR="#FF0000">the slightest hint of religion before releasing
their "strong opinions").</FONT>

<P>I sympathize with Matt's position.

<P>BUT we should realize there is a price for "Peace in the Mailbox",
<BR>namely that by "giving in" to the mail threat, we have allowed another
<BR>group to control our free speech.

<P>I doubt any of us "want" to risk a fight with anybody, but if we let
our
<BR>tongues be tied today regarding Fractals and God, on what will
<BR>we allow them to be tied tomorrow??? And by whom???

<P>Now I'm no hacker, and only have about four months experience on the
<BR>Internet, but if every item of email was date stamped upon reciept
<BR>and a full copy mailed back to the sender, this would serve
<BR>two useful purposes: First, acknowledgement of receipt. Second, anyone
<BR>trying to hose another with ludicrous email would equally hose himself.

<P>Any thoughts???

<P>Chris Springer</HTML>

--------------4D5B890CD7BDC265C71EA918--


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 13:08:54 -0600

Xylen,

 - But are fractals "real"? Intuitively, something isn't real unless I can
 - touch it, smell it, or taste it.

Not true. These are *physical* aspects. Is love real? How about hate?
Fractals are as "real" as any other abstract concept. Arguing whether
fractals are "real" seems rather silly to me, an excuse to sound
philosophical. :-) The very definition of "abstract" is "considered apart
from concrete existence".

 - Consider a fractal that is viewed at F3 and the "exact" same fractal
 - viewed at SF3. They look different. Are they the same fractal or just
 - a different arrangement of bits?

They are two approximations of the same abstract object. Although we can
never achieve a precise physical representation of the object, that doesn't
mean the abstract object "does not exist".

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Re: Simply Elegant and a question
Date: 23 Jan 1999 13:23:43 -0600

Chris,

 - BUT we should realize there is a price for "Peace in the Mailbox", 
 - namely that by "giving in" to the mail threat, we have allowed another 
 - group to control our free speech. 

You err in _assuming_ you have a right to free speech on this mailing list.
Tim is the list administrator; he is within his rights to squelch any
discussion at any time, ultimately by removing the participants from the
subscriber list if necessary. That he generally lets the discussion wander
where it will, without too much restriction, is our good fortune in having
such a benevolent moderator. And ultimately, since this list is run on
Xmission's servers, they have the option of suspending the entire list if
they so choose.

We have freedom in this forum to discuss what we want, subject to the
overriding decisions of Tim and Xmission. (Although I don't think Xmission
monitors the list.) So while you have the freedom to say what you want, you
don't necessarily have the freedom to use this forum to do it. If you don't
like the forum, you have the freedom to set up your own.

PLEASE NOTE: I'm not saying Tim will censor us! I'm not saying he should or
shouldn't! I'm just saying that before we rally behind the cry of "free
speech" we should understand what we're really getting into. I've read the
discussion with interest, even though I don't necessarily agree with the
participants.

 - Now I'm no hacker, and only have about four months experience on the 
 - Internet, but if every item of email was date stamped upon reciept 
 - and a full copy mailed back to the sender, this would serve 
 - two useful purposes: First, acknowledgement of receipt. Second, anyone
 - trying to hose another with ludicrous email would equally hose himself. 

Nice thought, except for a few problems. First, you instantly *double* the
mail load on the Internet. This is a bad idea; the net is already heavily
loaded. :) Second, you double the amount of mail everybody receives. Third,
what about mailing lists like this one? If I post a message to this list,
should I receive "your message was read on Thursday" notices from every one
of the hundreds of subscribers? Please, no.

Oh, and you might want to refrain from using HTML-formatted mail when
posting to a mailing list. There are still quite a few situations where it
renders your mail totally unreadable.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Hackberg91@aol.com
Subject: Re: (fractint) MIDI
Date: 23 Jan 1999 15:03:41 EST

Hi folks.
Fractals and music is an interesting topic and there are some serious attemps
there (I know some Germans and some US Americans) to make the orbits audible
and to get these series of notes into something like a piece. As I don't have
the URLs at hand, please let'em serach with "fractal music" and you'll get a
real lot valuable stuff.
What I am interested in is a way to transform linear fractals into waveforms
to beplayed by a soundcard. If anyone would like to communicate on that,
please email me. Thank you.
And many thanks to all the contributors who made my screen glow in ever
renewed beauty.
Michael Hackenberger

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-------------------------------------------------------------------------------

From: "Tim Wegner" <twegner@phoenix.net>
Subject: Re: (fractint) Re: Simply Elegant and a question
Date: 23 Jan 1999 14:11:00 -0600

Damien wrote:

> You err in _assuming_ you have a right to free speech on this mailing list.
> Tim is the list administrator; he is within his rights to squelch any
> discussion at any time, ultimately by removing the participants from the
> subscriber list if necessary. 

Darn tootin I can and will squelch discussion and boot list 
members if I see fit :-)

> That he generally lets the discussion wander
> where it will, without too much restriction, is our good fortune in having
> such a benevolent moderator.

My only concern is that this list be useful for the members. That 
means keeping reasonably on topic. The reason for this is that the 
traffic is high, and the more off topic messages there are, the less 
useful the list is for it's intended purpose. Otherwise I see little 
reason to use a heavy hand to try to control what list members 
write. Over the life of the list there has been very little trouble. From 
time to time I have nudged folks to stay on topic.

The topic is fractals and fractint. It can wander a bit into related 
topics such as philosophy or computer issues related to fractal 
images.

Everybody should be clear that there is no "free speech" on this 
list. The list is for discussion of fractals and fractint, and not other 
subjects. But quite frankly we are all mature folks here and  
policing on my part is unnecessary and won't happen without good 
cause. I expect everybody understands why the list has the most 
utility if we stay on topic.

FWIW I hereby declare mail bombing etc. as off topic. This should 
be obvious to everybody. If folks want to talk about philosophy or 
religion with regard to fractals, that is OK with me, within the limits 
of what is of interest to most list members. I would ask that anyone 
who posts a message on any subject do a sanilty check on 
themselves and make sure sure their posting has a reasonable 
chance of being of interest to many of the list members. Postings 
of limited general interest should go as emails to specific folks you 
know are interested.

Tim



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-------------------------------------------------------------------------------

From: Jim Muth <jamth@mindspring.com>
Subject: Re: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 15:15:36 -0500 (EST)

At 11:36 AM 1/23/99 -0700, you wrote:
>
>
>> So let's stick to objectively real things such as fractals.
>
>But are fractals "real"? Intuitively, something isn't real unless I can
>touch it, smell it, or taste it.   <snip>
>
>Xylen

Precisely correct!  My sentence is intentional irony.  
Mankind constantly handles abstract concepts that are not 
"real" in the physical sense, yet most certainly do exist.  
If we give these concepts names such as: "love", "honor", 
or "fractals", there is no contention.  It is only when we 
begin applying names such as "God", "Heaven", or "the human 
soul that survives death" to our abstract concepts that the 
contention arises.  Why are mere labels so important?

There obviously is a connection between the idea of fractals 
and the idea of God, since both are abstractions.  But I 
don't feel that this list is the place to discuss the topic.  
Maybe we need a separate mailing list to discuss the 
philosophical aspect of fractals.  But if fractals had no 
philosophical aspect, I would have grown tired of them 10 
years ago.

Jim Muth
jamth@mindspring.com


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From: Xylen <mctupper@holly.colostate.edu>
Subject: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 13:47:14 -0700



Jim Muth wrote:

> Maybe we need a separate mailing list to discuss the
> philosophical aspect of fractals.  But if fractals had no
> philosophical aspect, I would have grown tired of them 10
> years ago.

I heartily agree with you on the philosophical aspects of fractals. I
can't look at a fractal without trying to understand it and anything it
may represent. This goes beyond just trying to title a fractal.=20

Your FOTD essays have generated a lot of philosophical discussions,
including subjects like  GOD, reality, and their relationship to
fractals. There also seems to be several people that like to comment on
or just read the discussion on these ideas. I wonder if it would be
possible to talk Tim into creating another mailing list, or perhaps
somebody else has an idea on where such a mailing list could be created.

Xylen

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Windows 98   Pentium of Borg--=94Prepare to be assimil-Gated=94
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 16:20:00 EST

In a message dated 1/23/99 12:49:11 PM Pacific Standard Time,
mctupper@holly.colostate.edu writes:

<<  I  can't look at a fractal without trying to understand it and anything it
 may represent. This goes beyond just trying to title a fractal.  >>

I don't know about others, but some fractals really are interesting, while
others are not the slightest bit interesting at all... at first I thought it
might be the color maps, then I realized it was more the intricacy and
complexity vs the simplicity.   Hard to explain, but some fractals 'have it'
and some 'don't'.

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 15:56:26 -0600

Xylen,

 - There also seems to be several people that like to comment on
 - or just read the discussion on these ideas. I wonder if it would be
 - possible to talk Tim into creating another mailing list, or perhaps
 - somebody else has an idea on where such a mailing list could be
 - created.

I can create such a list, if there is interest. I thought about whether
this sort of discussion is appropriate for the Fractal-Art list, and I
don't think it is. I'm not sure another list will survive long, once the
current surge of interest dies, but I don't have any objections to setting
up the list if someone else wants to actually administer it. (i.e. deal
with unsubscribing people whose addresses fail, etc--and of course keeping
the discussion on topic and squelching nuisances. :)

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) Re: Simply Elegant?
Date: 23 Jan 1999 19:22:55 -0500 (EST)

At 03:56 PM 1/23/99 -0600, Damien Jones wrote:

>I'm not sure another list will survive long, once the current 
>surge of interest [in fractal philosophy] dies, but I don't have 
>any objections to setting up the list if someone else wants to 
>actually administer it.

I also fear that a fractal philosophy list would come on with a 
burst of activity and then die a lingering death.  Tim seems 
willing to admit the topic of fractal philosophy onto this list 
-- as long as we don't start fighting among ourselves.  What we 
want to avoid is the anger that so often arises whenever matters 
of religion and Atheism are discussed.  Unfortunately, in my 
experience, this is nearly impossible to do.

See you in the FOTD.

Jim Muth
jamth@mindspring.com


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-------------------------------------------------------------------------------

From: "Shauna Jones" <shauna@aloha.net>
Subject: Re: (fractint) MIDI
Date: 23 Jan 1999 15:12:49 -1000

On 23 Jan 99 at 15:03, Hackberg91@aol.com wrote:

> Fractals and music is an interesting topic and there are
> some serious attemps there (I know some Germans and some
> US Americans) to make the orbits audible and to get
> these series of notes into something like a piece. As I
> don't have the URLs at hand, please let'em serach with
> "fractal music" and you'll get a real lot valuable
> stuff. What I am interested in is a way to transform
> linear fractals into waveforms to beplayed by a
> soundcard. If anyone would like to communicate on that,
> please email me. Thank you. And many thanks to all the
> contributors who made my screen glow in ever renewed
> beauty. Michael Hackenberger

There are some links to fractal music info at our web 
site ... <http://www.aloha.net/~shauna/fractals.html>.

Another blast of bits from David
http://www.aloha.net/~shauna/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast: mailto:hisurf@aloha.net

Random Thought for this Nanosecond
Cowboys always died with their boots on because if they took them off everybody *else* would die. (D.Jones)



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-------------------------------------------------------------------------------

From: "Shauna Jones" <shauna@aloha.net>
Subject: Re: (fractint) Simply Elegant and a question
Date: 23 Jan 1999 15:12:50 -1000

On 22 Jan 99 at 19:30, Nature Leseul wrote:

> Fractals, however, cannot concievably be generated
> without the aid of computers.

Sure they could, although it could well take hundreds of 
years to generate one. But humanity has completed other 
projects which took hundreds of years, such as building 
cathedrals. In fact, you could say that building present 
day cultures has taken thousands of years. Remember also 
that the original meaning of the word "computer" was a 
person who performed mathematical calculations.

Another blast of bits from David
http://www.aloha.net/~shauna/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast: mailto:hisurf@aloha.net

Random Thought for this Nanosecond
The real problem with cloning programmers is the difficulty of genetically engineering the silicon portions. (D.Jones)



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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Spines and rivers
Date: 23 Jan 1999 20:19:19 -0500

Usually I post related pars but this time I feel like posting images that
go in wildly different directions.

The Spines par is in a series of plastic, rounded forms. Gradual changes in
the color map produce highlights and muted depths.

The river view series of pars is something I have just started to wander
through. I imagine folded hills covered with cultivated fields, ponds in
valleys, pathways or rustic roads meandering.

Bill Decker

spines3            { ;  (c) Bill Decker Jan 22, 1999 t=  0:00:58.00
                     ;  on P100 1024x768
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=bills_xy-trade4 function=abs/atanh passes=1
  center-mag=-2.22045e-015/-1.77636e-015/0.3657358/1/90
  params=-3/1/4/3/50/2000 float=y logmode=fly potential=255/30/0
  colors=000HTE<7>BPBAOAAOAAOA<18>6E66E66D65C56C58C5<2>CE6DF6EG7GH8<13>__I\
  ``J``J<25>j`ck`dk`ek_ejZdiYc<24>T8PS6OS6O<31>gPThQThRTiSTiTT<31>yxxzzzzz\
  y<29>llWkkUkkU<36>IUF
  }

riparian-view      { ;  (c) Bill Decker Jan 22, 1999 t=  0:01:26.45
                     ;  on P100 1024x768
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=gallet-9-02 function=sin/acosh passes=1
  center-mag=1.45718/-0.57671/0.6023617/8/90 params=4/2/20/5/-1/1
  float=y logmode=fly potential=255/500/0 rseed=-2436
  colors=000B0B<7>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>yiizjjzjjzkk<29>zzzER\
  Ezzy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGFUFFTF<27>1110000000\
  00<19>A0A
  }



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-------------------------------------------------------------------------------

From: "Morgan L. Owens" <packrat@nznet.gen.nz>
Subject: Re: (fractint) Re: Simply Elegant?
Date: 24 Jan 1999 15:48:01 +1300

At 13:08 23/01/99 -0600, Damien M. Jones wrote:
>Xylen,
>
> - But are fractals "real"? Intuitively, something isn't real unless I can
> - touch it, smell it, or taste it.
>
>Not true. These are *physical* aspects. Is love real? How about hate?
>Fractals are as "real" as any other abstract concept. Arguing whether
>fractals are "real" seems rather silly to me, an excuse to sound
>philosophical. :-) The very definition of "abstract" is "considered apart
>from concrete existence".
>
> - Consider a fractal that is viewed at F3 and the "exact" same fractal
> - viewed at SF3. They look different. Are they the same fractal or just
> - a different arrangement of bits?
>
>They are two approximations of the same abstract object. Although we can
>never achieve a precise physical representation of the object, that doesn't
>mean the abstract object "does not exist".
>
>Damien M. Jones   \\
>
After all, _all_ of these experiences (fractals, tastes, hate and so on),
are the outcome (somehow) of the working of our brains. All of them have
the same physical existence as variations in the electrical and chemical
dynamics of the subject's brain.

Thing is, there's only so much brainpower to go round in any given person
(some more than others, but still: what you've got is what you've got). So
how are fractals treated by the brain? When you're contemplating a fractal,
are the parts of your brain that are the most active the same as or working
with parts that respond particularly to music? Vision? Trees? The concept
of God? Modern brain scanning techniques may well put some meat on what is
here just a stick-figure idea.

It may be that fractals have such a profound effect on so many people with
all sorts of outlooks on life has something to do with our brains just
happening to be wired up to appreciate them? Not because they're fractals,
but because they're so much like (neurologically speaking) things we're
already bred to find fascinating?

And if so, what guarantee would we have that another intelligence (aliens,
for short) would find the things at all interesting?

Morgan


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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) updated web site
Date: 24 Jan 1999 01:06:11 -0500

I completely revised and updated the Euler Gallery at my Geocities web
site with true color multilayered fractals. I hope you enjoy your visit.

Gedeon

--
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: January 23, 1999 - updated Euler Gallery
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: "Wayne Kiely" <kiely+co@riverland.net.au>
Subject: (fractint) ParToBat
Date: 24 Jan 1999 22:10:24 +1030

Anybody had problems running ParToBat from Windows 98?

Last night I simply could not get it to work - not from Windows, from the
Windows DOS prompt or after  rebooting to DOS and trying it from various
directories.  All I could ever get was "Runtime error 200 @ 0356:0091" -
whatever I tried.

Tonight no problems - same files, same directories???

Gremlins.

Wayne

BTW    I'm impressed with the way '98 handles video mapping.  I can now generate
            images in SF7 mode and swap back and forth to other programs and not
            have a garbled Fractint screen when I return.  Saves generating them
            in Video Mode and converting back to SF7 later.










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-------------------------------------------------------------------------------

From: "Les St Clair" <les_stclair@crosstrees.prestel.co.uk>
Subject: Re: (fractint) 3 Mandel types...
Date: 24 Jan 1999 15:53:26 -0000

Hi Bob,

>I thought these Mandel type images may interest some of you. 

Nice to see you posting here. Really nice images too!

cheers, Les


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-------------------------------------------------------------------------------

From: "Les St Clair" <les_stclair@crosstrees.prestel.co.uk>
Subject: Re: (fractint) ParToBat
Date: 24 Jan 1999 16:34:38 -0000

Hi Wayne,



>Anybody had problems running ParToBat from Windows 98?
>
>Last night I simply could not get it to work - not from Windows, from the
>Windows DOS prompt or after  rebooting to DOS and trying it from various
>directories.  All I could ever get was "Runtime error 200 @ 0356:0091" -


You probably need the new version of partobat (v3.5), designed to run on very
fast machines. You can get a copy from Jo Weber's page at:

http://ourworld.compuserve.com/homepages/joweber/jo_01.htm

cheers, Les


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-------------------------------------------------------------------------------

From: "Jason Hine" <tumnus@together.net>
Subject: (fractint) Fractosophy List?  (was Re: Simply Elegant)
Date: 24 Jan 1999 14:26:05 -0500

> > There also seems to be several people that like to comment on
> > or just read the discussion on these ideas. I wonder if it would be
> > possible to talk Tim into creating another mailing list, or perhaps
> > somebody else has an idea on where such a mailing list could be
> > created.
>

Damien replied:

>I can create such a list, if there is interest. I thought about whether
>this sort of discussion is appropriate for the Fractal-Art list, and I
>don't think it is. I'm not sure another list will survive long, once the
>current surge of interest dies, but I don't have any objections to setting
>up the list if someone else wants to actually administer it. (i.e. deal
>with unsubscribing people whose addresses fail, etc--and of course keeping
>the discussion on topic and squelching nuisances. :)

I would like to see such a list created; one where the long-winded nature of
fractal philosophy discussions could reach its potential.  As far as the current
interest in this thread dwindling, I suspect the list traffic would surge and
calm as most lists do, but at least the list would be there for the surges; it
would also give individuals interested in philosophy, but not so much in the
workings of Fractint, a fractal-related list they might like to subscribe to.
Hopefully, Jim Muth would post his FOTD there, providing a minimum of traffic
and philosophy at all times!

Jason Hine
net.together@tumnus

"Whoa - strike that; reverse it; that's better!"
- Willy Wonka



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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: Re: (fractint) Spines and rivers
Date: 24 Jan 1999 15:18:26 -0500

The other day I posted a par (reposted below) that reminded me of views of
a river country. Since then I've found a few more that please me. I like
the gray and tan areas that remind me of sandy soil. The neat rows that
seem to be orchards or vineyards. Dark lakes and meandering waterways and
roads.

This series has been instructive in learning another Fractint tool. The
initial view of each of the fractals was flat and (if you think of them as
landscapes) from directly overhead. With some experimenting with the
x-magnification parameter, I was able to create views that were more akin
to views from less lofty heights; from scenic overlooks if you will. (Type
z, F6 to get to the screen with x-mag. If you rotate the image you will
probably want to type z, F6, F4 to reset the x-mag.)

Bill Decker

riparian-view      { ;  (c) Bill Decker Jan 22, 1999 t=  0:01:26.45
                     ;  on P100 1024x768
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=gallet-9-02 function=sin/acosh passes=1
  center-mag=1.45718/-0.57671/0.6023617/8/90 params=4/2/20/5/-1/1
  float=y logmode=fly potential=255/500/0 rseed=-2436
  colors=000B0B<7>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>yiizjjzjjzkk<29>zzzER\
  Ezzy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGFUFFTF<27>1110000000\
  00<19>A0A
  }

riparian-view2     { ;  (c) Bill Decker Jan 23, 1999 t=  0:01:05.74
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=gallet-9-02 function=sin/sin passes=1
  center-mag=-0.220275/0.656093/3.205128/4/40 params=4/2/20/5/-1/1
  float=y logmode=fly potential=255/500/0 rseed=-2436
  colors=000303<23>F0FF0FG1GG2G<27>UUUVVVVVWWWXWWY<27>iiyjjzjjzkkz<30>zzzz\
  zzyyz<28>kkzkkzjjyjjx<28>WWWWWWVWVVWVVWV<26>HWHGVGGVGFUFFTF<27>111000000\
  000<3>202
  }

riparian-view3     { ;  (c) Bill Decker Jan 24, 1999 t=  0:00:32.24
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=gallet-9-02 function=cosxx/cosxx passes=1
  center-mag=-2.97223/0.0597456/0.4651498/7/39.999
  params=4/2/20/5/-1/1 float=y logmode=fly potential=255/250/0
  rseed=-2436
  colors=000<30>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>yiizjjzjjzkk<29>zzzzzzz\
  zy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGFUFFTF<28>000
  }

riparian-view4     { ;  (c) Bill Decker Jan 24, 1999 t=  0:01:05.85
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=frac_ml.frm
  formulaname=gallet-9-02 function=sin/cosxx passes=1
  center-mag=-0.633341/-0.145475/0.7222892/8/-37.5
  params=4/2/20/5/-1/1 float=y logmode=fly potential=255/500/0
  rseed=-2436
  colors=000<30>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>yiizjjzjjzkk<29>zzzzzzz\
  zy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGFUFFTF<28>000
  }
;
;  Most of the time when I post pars based on formulas found in
;  frac_ml.frm I do not post the formula.
;  However, I've had several people ask me to post the formulas
;  becuse they are unaware of where frac_ml.frm is available.
;
; You can find frac_ml.frm at
;
;   http://ourworld.compuserve.com/homepages/Les_StClair/fml.htm
;
frm:Gallet-9-02 { ; Sylvie Gallet, sylvie_gallet@compuserve.com, Aug 1997
              ; Bailout: real part of p2 (must be > 0)
              ; Real and Imag parts of p1 must be > 0
              ; Imag part of p2 must be non-zero
              ; Use periodicity=0
   z1 = c = pixel , mz1 = cabs(fn2(z1)) , k = real(p1)*mz1
   bailout = real(p2) , z = imag(p1) :
   z1 = z1*z1 + c
   z1 = fn1(real(z1)) + flip(imag(z1)) , mz1 = cabs(z1)
   if (mz1 <= k)
      z1 = (z1 + 1) * p3 , mz1 = cabs(z1)
   endif
   if (mz1 < imag(p1))
      z = z1^imag(p2)
   endif
   mz1 <= bailout
   }




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-------------------------------------------------------------------------------

From: JoWeber <JoWeber@compuserve.com>
Subject: Re: (fractint) ParToBat
Date: 24 Jan 1999 15:57:47 -0500

Hi Les & Wayne,

my site has been moved to

http://www.joweber.com.
=46rom there you can reach the download area.

Cheers --Jo Weber--

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-------------------------------------------------------------------------------

From: "P.J. Bakker" <pbakker@westbrabant.net>
Subject: (fractint) fractals and music
Date: 25 Jan 1999 00:49:42 +0100

Dear fractal lovers,
I just followed the discussion for some days and now I found something of
which at least some you might interest: mid files based on the Gingerbread
fractal.
I really enjoy the 'strange' sound of the jazz.mid
Have a nice hour! and here is the address:

http://users1.ee.net/pmason/music2.html


Peter Bakker, e-mail: pbakker@westbrabant.net
tel/fax:  +31(0)164 239637

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-------------------------------------------------------------------------------

From: JoWeber <JoWeber@compuserve.com>
Subject: Re: (fractint) ParToBat-wrong address
Date: 24 Jan 1999 19:52:54 -0500

Hi Les & Wayne,

>>my site has been moved to

>>http://www.joweber.com - wrong, correct is

http://www.joweber.de

Cheers --Jo--

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-------------------------------------------------------------------------------

From: "John Wilson" <johnw@netpointer.com>
Subject: Re: (fractint) Fractosophy List? 
Date: 24 Jan 1999 17:50:42 -0800

-----Original Message-----


>> > There also seems to be several people that like to comment
on
>> > or just read the discussion on these ideas. I wonder if it
would be
>> > possible to talk Tim into creating another mailing list, or
perhaps
>> > somebody else has an idea on where such a mailing list could
be
>> > created.

This sort of mailing list is a natural for
http://www.egroups.com/   It's
free, spam-free and already has a couple of philosophy lists,
(mostly
jobs, meetings and calls for papers).

John Wilson





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-------------------------------------------------------------------------------

From: "Benjamin S. Franzus" <bfranzus@stc.net>
Subject: (fractint) Re: Fractals and G_d
Date: 24 Jan 1999 23:41:10 -0500

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<body text="#000000" bgcolor="#FFFFFF" link="#3366FF" vlink="#800040" alink="#000099">
Simple solution: Note the spelling in the subject area.
<br>This is how most of us really religious types deal with not spelling
the word, and as for the rest:
<br>anyone intelligent enough to play with fractals, knows that there must
be a greater power.
<p>I include this little poem in the parameters to remind myself.
<br>Stupid, but what the hell.
<p>&nbsp;Thank you Lord for giving me
<br>&nbsp;The incredible ability
<br>&nbsp;To make machines that can see
<br>&nbsp;Your mathematical subtlety.
<br>&nbsp;
<blockquote TYPE=CITE>I doubt any of us "want" to risk a fight with anybody,
but if we let our
<br>tongues be tied today regarding Fractals and God, on what will
<br>we allow them to be tied tomorrow??? And by whom???
<p>Now I'm no hacker, and only have about four months experience on the
<br>Internet, but if every item of email was date stamped upon reciept
<br>and a full copy mailed back to the sender, this would serve
<br>two useful purposes: First, acknowledgement of receipt. Second, anyone
<br>trying to hose another with ludicrous email would equally hose himself.
<p>Any thoughts???
<p>Chris Springer</blockquote>

</body>
</html>


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-------------------------------------------------------------------------------

From: "Wayne Kiely" <kiely+co@riverland.net.au>
Subject: (fractint) Re: ParToBat problems
Date: 26 Jan 1999 01:11:11 +1030

Les and Jo,

Many thanks for your help.

Regards,

Wayne


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-------------------------------------------------------------------------------

From: Ken Childress <kchildre@uccs.jpl.nasa.gov>
Subject: Re: (fractint) Simply Elegant and a question
Date: 25 Jan 1999 08:50:07 -0800 (PST)

> 
>   Plus, pi was fairly well known to nearly every ancient civilization on the
> planet, most of which were still fairly spiritual and faithful to their
> god(s). (Even the Bible mentions pi at one point, though it just uses the
> value of 3.)

Actually, I've heard an explanation of the verse in question that showed
that the value of Pi was not 3, but a very accurate representation of
the actual value of Pi.  Unfortunately, I cannot recall the details well
enough to present them here.  Should anyone be interested in specific
details, please email me privately, and I'll try to locate the reference
of the explanation.


Ken...




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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) New UF Galleries
Date: 25 Jan 1999 12:37:15 -0500

Hi All,

  I just reorganized my web site and added two Ultra Fractal galleries (#=
8
and 9).  The "Fractal of the Week" gallery (#4) will now have only the la=
st
twelve FOTWs.

  Enjoy!

        - Sylvie
 E-mail:
   Sylvie_Gallet@CompuServe.com
 Visit my exhibit at Museum of Computer Art:
   http://www.dorsai.org/~moca/
 My Fractal Galleries:
   http://spanky.triumf.ca/www/fractint/sylvie/gallet.html
   http://ourworld.compuserve.com/homepages/Sylvie_Gallet/homepage.htm

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-------------------------------------------------------------------------------

From: "J.P. Louvet" <louvet@iuta.u-bordeaux.fr>
Subject: Re: (fractint) New UF Galleries
Date: 25 Jan 1999 19:05:03 +1

le 25 Jan 99 a 12:37, Sylvie Gallet ecrivait (Sylvie Gallet wrote) :

>   I just reorganized my web site and added two Ultra Fractal galleries
>   (#8
> and 9).  The "Fractal of the Week" gallery (#4) will now have only the
> last twelve FOTWs.
> 

Sylvie,

Wonderful, as usually, but I was very intrigued by the fern in the lower 
row of page 8.

Jean-Pierre

J.P. Louvet                | Phone :  (33)56-84-58-35
IUT Universite Bordeaux I  | email : louvet@iuta.u-bordeaux.fr
33405 Talence CEDEX France | email : louvet@hs-serveur.iuta.u-bordeaux.fr
Fractales sur serveur Web Universite Bordeaux I :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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-------------------------------------------------------------------------------

From:	"Fliguer, Miguel" <M_Fliguer@miniphone.com.ar>
Subject: (fractint) Franktal Gallery - Issue #3
Date: 25 Jan 1999 15:22:30 -0300

Your attention, please, this is an important public announcement...

The January issue (#3) of the Franktal Gallery is hot off the press.
It features a Zappafractals special, a bunch of images from my A0 
formula, and lots of miscellaneous fractalettes for your viewing
pleasure.
Enjoy ! And please let me know your reactions.

You have been warned.

> Miguel Fliguer - Buenos Aires, Argentina
> Franktal Gallery (Shut Up And Draw Yer Fractals)
> http://members.xoom.com/fliguer/franktal.html
> 

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: Re: (fractint) New UF Galleries
Date: 25 Jan 1999 17:03:33 -0500

Bonjour Jean-Pierre,

>> Wonderful, as usually, but I was very intrigued by the fern in the low=
er
>> row of page 8.

  Thank you!  The fern was made with a Fractint formula created from one =
of
my IFS.  The original colored version is in Gallery 4.
  Here are the formulas and pars:

sg_ifs_45 { ; sylvie_gallet@compuserve.com, Nov 98
            ; ported from Fdesign
0.409445 0.635563 0.699769 -0.364293 -1.362228 6.947697 0.6
0.440026 -0.218392 0.413335 0.376756 -3.087240 3.169590 0.25
0.107881 0.438639 0.084792 0.257114 -5.570585 1.155089 0.15
}
SG_ifs_45          { ; .                                    t=3D  0:06:54=
.59
                     ; Copyright Sylvie Gallet, Nov 21, 1998
                     ; <sylvie_gallet@compuserve.com>
                     ; t=3Dcalc time using a PII 300 at 1600 x 1200
  reset=3D1960 type=3Difs ifsfile=3Dgallet.ifs ifs=3Dsg_ifs_45 passes=3D1=

  center-mag=3D+0.00637816999999963/+5.00474550000000000/0.1868814/0.9998=
/7.\
  465 params=3D0 float=3Dy maxiter=3D10000
  colors=3DzzzFSD<5>iiBnlBtpAzt9<9>AT1<10>Pa1Qa1Qa1<32>JZ7<8>0P8<6>000<8>=
R50\
  U60V70W90YA0ZC0<46>n`GoaHn_FmYClW9<2>eO2<5>A00<13>XH0YI0YI0<17>lT5mU6nU=
6\
  nU6<61>UF0
  }
sg_ifs_45_J{
a0=3D0.40944,b0=3D0.63556,c0=3D0.69977,d0=3D-0.36429,
a1=3D0.44003,b1=3D-0.21839,c1=3D0.41333,d1=3D0.37676,
a2=3D0.10788,b2=3D0.43864,c2=3D0.08479,d2=3D0.25711,
al0=3D-0.59391,k0=3D3.91945,l0=3D-3.79794,
al1=3D0.25605,k1=3D0.47092,l1=3D-2.67077,
al2=3D-0.00946,k2=3D1.93894,l2=3D-0.59695,
z=3Dpixel:
x=3Dreal(z)
y=3Dimag(z)
o0=3D(d0*x-b0*y+k0)/al0+flip((-c0*x+a0*y+l0)/al0)
op0=3D|o0-p2|
o1=3D(d1*x-b1*y+k1)/al1+flip((-c1*x+a1*y+l1)/al1)
op1=3D|o1-p2|
o2=3D(d2*x-b2*y+k2)/al2+flip((-c2*x+a2*y+l2)/al2)
op2=3D|o2-p2|
IF (op0<op1 && op0<op2)
z=3Do0
ELSEIF (op1<op0 && op1<op2)
z=3Do1
ELSEIF (op2<op1 && op2<op0)
z=3Do2
ENDIF
|z|<=3Dp1
}
6GIFS45J.GIF       { ; .                                    t=3D  0:05:47=
.73
                     ; Copyright Sylvie Gallet, Dec 24, 1998
                     ; <sylvie_gallet@compuserve.com>
                     ; t=3Dcalc time using a PII 300 at 1600 x 1200
  reset=3D1960 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dsg_ifs_45_j passes=3D1
  center-mag=3D-0.144195/4.71538/0.1811085/1/7.499 params=3D1000/0/0/14
  float=3Dy maxiter=3D511 inside=3D0 decomp=3D256
  colors=3DO60R90TC0VF4XI8YKA_MDaOG<10>zwzywz<11>intgnsgns<27>LT_KSZKRYKR=
Y<1\
  4>5IN5IN6IN<28>KRWLSXLSXMSYMTY<73>vvuwwvwwtwws<63>M30
  cyclerange=3D0/255
  }

  Au revoir,

        - Sylvie

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-------------------------------------------------------------------------------

From: Jeff Field <jfield@clark.net>
Subject: Re: (fractint) MIDI
Date: 25 Jan 1999 20:22:09 -0500 (EST)


There's an interesting demonstration of fractals and music on the
Discovery Channel's web site:

http://www.discovery.com/stories/technology/fractals/fractals.html




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-------------------------------------------------------------------------------

From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) page added to website
Date: 25 Jan 1999 15:29:46 -0500

Inspired by an ongoing challenge at the Ultrafractal list for gray scale
images, I added a page of black and white fractals to my Geocities web
site. I hope you enjoy your visit.

If you visited my site recently, the old version may still be in your
cache. Please hit reload button to make sure you are getting the updated
version. I made some extensive changes on many of the pages. Thanks.

Gedeon

--
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: January 25, 1999 - updated Euler Gallery and added new
page
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998



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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Re: Spines and Rivers
Date: 26 Jan 1999 15:53:30 -0500

Two questions:

What does the command "logmap=3Dfly" do?

Where did you get the word Riparian? Is this a Star Trek word?

Collin Merenoff

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-------------------------------------------------------------------------------

From: Bob Margolis <rttyman@wwa.com>
Subject: (fractint) Pars for the course
Date: 26 Jan 1999 14:53:00 -0600

012699-1           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julia passes=1
  center-mag=-7.77156e-016/7.77156e-016/0.8440015/1.3333
  params=0.2957631958525612/-0.01682239149687881 float=y maxiter=1250
  inside=0 symmetry=xyaxis viewwindows=1/1/yes/0/0
  colors=000<31>000<3>O00U00Z00c00h00l00o00s00u00x00y00z00<2>x00u00s00o00l\
  00<2>Z00U00O00<3>000000<3>OO0UU0ZZ0cc0hh0ll0oo0ss0uu0xx0yy0zz0<2>xx0uu0s\
  s0oo0ll0<2>ZZ0UU0OO0<3>000000<3>OOOUUUZZZccchhhlllooosssuuuxxxyyyzzz<2>x\
  xxuuusssooolll<2>ZZZUUUOOO<3>000000<4>B0NE0SF0V<2>K0dM0gN0iO0jO0lO0lO0lO\
  0lO0jN0i<2>J0aH0ZF0VE0S<5>000000<3>O00U00Z00c00h00l00o00s00u00x00y00z00<\
  2>x00u00s00o00l00<2>Z00U00O00<3>000000<3>OO0UU0ZZ0cc0hh0ll0oo0ss0uu0xx0y\
  y0zz0<2>xx0uu0ss0oo0ll0<2>ZZ0UU0OO0<3>000000<3>OOOUUUZZZccchhhlllooosssu\
  uuxxxyyyzzz<2>xxxuuusssooolll<2>ZZZUUUOOO<3>000 cyclerange=0/0
  }

012699-2           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julia passes=1
  center-mag=-6.66134e-016/4.44089e-016/1.56913
  params=-0.00490500399877384/-0.7157539284218196 float=y maxiter=1250
  bailoutest=and logmap=yes distest=-1/5/768/768 symmetry=xyaxis
  viewwindows=1/1/yes/0/0
  colors=000O0l409<29>000<3>O00U00Z00c00h00l00o00s00u00x00y00z00<2>x00u00s\
  00o00l00<2>Z00U00O00<3>000<191>000 cyclerange=0/0
  }

012699-3           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julia passes=1
  center-mag=-6.66134e-016/4.44089e-016/0.9245494
  params=-0.7451693332340752/-0.1130613598870986 float=y maxiter=1250
  symmetry=xyaxis viewwindows=1/1/yes/0/0
  colors=000<30>B32822612<15>uhT<15>612<15>fE2<15>612<15>uhT<14>944<126>94\
  4 cyclerange=0/0
  }

012699-4           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julia passes=1
  center-mag=0/7.27596e-012/4.069012e-005
  params=-0.5427712593671016/0.50681109359754 float=y maxiter=1250
  bailoutest=and outside=real logmap=95 invert=0.5/0/0 symmetry=xyaxis
  periodicity=0 viewwindows=1/1/yes/0/0
  colors=000<158>000`0D<15>u02w02x01z00z20<22>zw0000<50>000
  cyclerange=0/0
  }

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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Re: Spines and Rivers
Date: 26 Jan 1999 21:07:29 -0500

According to the Fractint manual, "LOGMODE=fly/table Forces the use of the
on-the-fly routine or the logarithm table for the calculation of log
palettes.  Not normally needed."

Goodness knows where I picked it up. Must have been in someone else's par I
extracted from the list. I removed it from one of the riparian pars and did
not see any difference in the image or speed of computaion.

Riparian means river bank or estuary. As for SciFi, this applies more to
Philip Jose Farmer's Riverworld stories (where I first ran across the word)
than to Star Trek.

Bill Decker

A couple more odd pars.

star-burst         { ;  (c) Bill Decker Jan 25, 1999 t=  0:00:53.50
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=0bill.frm formulaname=Prueba_003
  function=recip/abs passes=1
  center-mag=-0.0208003/-0.0684588/0.4197822 params=-5/-1/2/5/4/100
  potential=255/150/0 periodicity=0
  colors=000494<15>000000101<43>N0NN0NN0NN0NO1N<43>rhGsiFsiG<30>yyxzzzzzy<\
  30>tjHsiFsiF<42>DQCCQCBPBAOA<29>494
  }

mandalla2          { ;  (c) Bill Decker Jan 23, 1999 t=  0:01:33.65
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=0bill.frm
  formulaname=bills_xy-trade function=cotan/cotan/flip passes=1
  center-mag=-0.997672/-0.326282/5.237235/1/-110.087/-0.036
  params=-10/-1/-2/-2/0/0 potential=255/200/0
  colors=000unT<7>tjHsiFsiF<42>DQCCQCBPBAOA<46>000000101<43>N0NN0NN0NN0NO1\
  N<43>rhGsiFsiG<30>yyxzzzzzy<21>voU
  }

frm:Prueba_003 {; Bill Decker mod 10/98 of Prueba_000
            ; Miguel Fliguer - Buenos Aires, Argentina
            ; m_fliguer@miniphone.com.ar
  z=fn1(pixel), c=fn2(pixel)
  e1=real(p3), e2=e1*2, f=imag(p3):
  z=fn2(p1/z^e2) - fn1(p2/z^e1) + c
  |z|<f
}

frm:bills_xy-trade  {
  a = real(p1), b = imag(p1), z = pixel
  d = real(p2), e = imag(p2)
  bail = real(p3):
  x = real(z), x1 = z^a
  y = imag(z), y1 = z^b
  ztemp = fn1(x) + d*fn2(y1) + fn1(y) + e*fn2(x1)
  z = fn3(ztemp)
  |z| > bail
}





Two questions:
What does the command "logmap=fly" do?
Where did you get the word Riparian? Is this a Star Trek word?
Collin Merenoff
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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) Re: Spines and Rivers
Date: 26 Jan 1999 23:37:29 EST

In a message dated 1/26/99 12:59:05 PM Pacific Standard Time,
110144.2274@compuserve.com writes:

<< Where did you get the word Riparian? >>
Goes back to Latin for water

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-------------------------------------------------------------------------------

From: PKyleCA@aol.com
Subject: Re: (fractint) Re: Spines and Rivers
Date: 26 Jan 1999 23:45:26 EST

In a message dated 1/26/99 8:42:38 PM Pacific Standard Time, PKyleCA@aol.com
writes:

<< << Where did you get the word Riparian? >>
 Goes back to Latin for water >>

oops, was cut off mid sentence.....

Water bank or shore line... usually or most commonly in the legal term, such
as "riparian rights"

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-------------------------------------------------------------------------------

From: "J.P. Louvet" <louvet@iuta.u-bordeaux.fr>
Subject: Re: (fractint) New UF Galleries
Date: 27 Jan 1999 10:22:41 +1

le 25 Jan 99 a 17:03, Sylvie Gallet ecrivait (Sylvie Gallet wrote) :


>   Thank you!  The fern was made with a Fractint formula created from one
>   of
> my IFS.  The original colored version is in Gallery 4.
>   Here are the formulas and pars:

Merci Sylvie.

Jean-Pierre

Jean-Pierre louvet : louvet@iuta.u-bordeaux.fr
Fractal album :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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-------------------------------------------------------------------------------

From: "Valery VALENTIN" <wali@fcmail.com>
Subject: (fractint) Xfractint
Date: 27 Jan 1999 08:07:16 -0800

Hi,
How can I execute Xfractint with the batch option in the background (using the command line), I mean without having the Xfractint window opened.

   

______________________________________________________

Sent by FortuneCity Mail at http://www.fortunecity.com 



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-------------------------------------------------------------------------------

From: Bob Margolis <rttyman@wwa.com>
Subject: (fractint) PARS for the course
Date: 27 Jan 1999 15:44:48 -0600

012799-1           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1
  center-mag=1.42109e-014/-1.42109e-014/0.01175928/1.3333
  params=-0.5022268202424391/-0.06350611496938727/3/0 float=y
  maxiter=75 inside=0 outside=summ invert=0.5/0/0 symmetry=xyaxis
  periodicity=0 viewwindows=1/1/yes/0/0
  colors=000ve0<2>qS0oO0lK0iG0eD0bA0Y80U60Q40<2>B20<31>205G20L30<2>Y80bA0e\
  D0iG0lK0<2>sX0u`0ve0wj0wj0ve0<2>qS0oO0lK0iG0eD0bA0Y80U60Q40<2>B20205<175\
  >205 cyclerange=0/0
  }

012799-2           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1 center-mag=0/0/0.6666667/5.5
  params=0.1578301636484797/-0.8125838443710536/3/0 float=y
  maxiter=255 inside=0 symmetry=xyaxis periodicity=0
  viewwindows=1/5.5/yes/0/0
  colors=000<2>000wwx<12>wwxH0X<12>407zzz<15>0QZ0S`0Uc<12>068zzz<15>Z0Z`0`\
  c0c<12>808zzz<15>Kg0Lj0Nn0<12>470zzz<15>e04h05<13>301zzz<15>90eA0h<13>20\
  6zzz<15>sW0wZ0<13>850zzz<15>0C00D0<13>020 cyclerange=0/0
  }

012799-3           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1
  center-mag=-7.77156e-016/6.66134e-016/1.344086
  params=-0.118322116444647/0.7951516531989524/3/0 float=y maxiter=255
  inside=0 symmetry=xyaxis periodicity=0 viewwindows=1/1/yes/0/0
  colors=ghj<11>ghjghjfgjffi<44>MEIRK6<62>zp`zp`yo`<60>SL7000MEI<61>nrtnrt\
  nqsmqsRK6 cyclerange=0/0
  }

012799-4           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1
  center-mag=-6.03961e-014/5.59552e-014/0.09259684
  params=0.590770457134538/-0.06023088054352765/4/0 float=y maxiter=40
  inside=0 outside=mult invert=0.64/0/0 biomorph=111 symmetry=xyaxis
  periodicity=0 viewwindows=1/1/yes/0/0
  colors=000Q6C<2>lNWqT`uZcwdeweeu_crU`mOXfIR_CKS6DJ05000JLIOQRUUZZYec`jhc\
  nndpndpicodakZZf<2>KMKEHA0007AADDEIHJOKMUNP_QReTSfUS<2>PKN<3>1760005BG<5\
  >ecafca<6>07D0007L5BRB<2>PiOUoQYvRZvSUpQQjOLdLGYHCSC7M63F1000DCCPHEZMHgQ\
  JoTLtVNvWQwXQtWOpTLiQJ`MHRIFFDC38A0007CLDGVIKdOOlUSr_Wwd_ye`y_XwVSsPOmJK\
  eDGX7CN28C000NJFQSLU`RXhXZnb`rh`tnato`siZocXiYUbS<2>JAA000OIKUJN_KQdMShN\
  TkOVlQVlQVkOVhNUeMS`LQ<2>IHI0008DDDOHIXLMePPkTRpXSraSsaRqYPlUMfQIZMEQI9F\
  E44A000FE9RIF`LMiOSpQYuRdwSjxSkuSeqQZjOTaLM<2>6B3000GIGLNKPROUWS<2>giXgi\
  XceWZ`VUXS<3>CED000IJBLRMOYXRdeUimXlr_nu_nuXmsUjnRegO_Z<2>GC10006QGCYHHe\
  JNkLTpNZtPcvQdvRZtPTqNOlLIfJC_I6SG1JE000M8GUGL`OPfWUkcYokaqtfqufolbldYgX\
  UaPQ<2>F0C000A9H<5>kQPlRP<6>57G cyclerange=0/0
  }

012799-5           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1
  center-mag=8.88178e-016/-4.44089e-016/0.3563218
  params=-0.5117570815143607/0.6703791068929505/5/0 float=y maxiter=75
  inside=0 outside=atan logmap=yes invert=0.5/0/0 distest=-1/5/768/768
  symmetry=xyaxis periodicity=0 viewwindows=1/1/yes/0/0
  colors=000000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvu\
  uuuutuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpo\
  oooonooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikji\
  iiiihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedc\
  ccccbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZY\
  YYYYXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTS\
  SSSSRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONM\
  MMMMLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHG\
  GGGGFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBA\
  AAAA9AAA9BA9999989998A98888878887987777767776876666656665765555545554654\
  4444344435433333233324322222122213211111011102100000000
  cyclerange=0/0
  }


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-------------------------------------------------------------------------------

From: Xylen <mctupper@holly.colostate.edu>
Subject: (fractint) philofractal mailing list
Date: 27 Jan 1999 20:33:45 -0700

Well folks, here it is. The Philosophical-Fractal mailing list is
finally up and running. Thanks to Damien for doing the hard part.  :) 

This mailing list is for the discussion of fractal philosophy. This
includes science and religion, at least in their non-dogmatic aspects,
and the way they relate to fractals. This list will have broader limits
than the three current fractal lists. The new list is the place for
discussions that are fractal related yet don't fit into the current
lists. But this is not an "anything goes" policy.  Any attempt to
promote an agenda, such as converting to Christianity or debunking the
paranormal will not be allowed. This is how arguments start.  We must
remember that one person's nonsense is another person's truth, and all
opinions are worth a consideration. What we want is a free exchange and
blending of fractal and philosophical ideas.

This list is closed and unmoderated. This means that only subscribers to
the list can post messages, and all the messages you post go out to
subscribers without advance checking by the administrator. Although I do
reserve the right to warn, and if necessary, remove posters who become
belligerent, use foul language, or in any other way are abusive in their
posts.

You can subscribe by sending a message to philofractal-request@icd.com
with the words "subscribe philofractal" in the body of the email (please
remove the quotes when you send the message). If you have any questions
about the list you can reach me at philofractal-owner@icd.com


Xylen
-- 
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
GO BRONCO'S----Winners of the 98 Super Bowl and 
future winners of the 99 Super Bowl
http://members.tripod.com/~Xylen
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

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-------------------------------------------------------------------------------

From: "Tim Wegner" <twegner@phoenix.net>
Subject: Re: (fractint) Xfractint
Date: 27 Jan 1999 23:45:26 -0600

Valery asked:

> Hi,
> How can I execute Xfractint with the batch option in the background (using the command line), I mean without having the Xfractint window opened.

Try 

xfractint -disk

This is a sort of disk video mode, and it works without Xwindows.

Tim



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-------------------------------------------------------------------------------

From: "Benjamin S. Franzus" <bfranzus@stc.net>
Subject: (fractint) Ultra Fractal colors
Date: 28 Jan 1999 01:19:37 -0500

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<body text="#000000" bgcolor="#FFFFFF" link="#3366FF" vlink="#800040" alink="#000099">
For the beginner at writing parameters,
<br>these are some of the the color gradients.
<br>Since I don't care much for pastels, I didn't list them.
<p>index= color=0&nbsp;&nbsp; ;Black
<br>index= color=90&nbsp;&nbsp; ;Very Dark Red
<br>index= color=160&nbsp;&nbsp; ;Dark Red
<br>index= color=255&nbsp;&nbsp; ;Red
<br>index= color=65280&nbsp; ;Green
<br>index= color=65535&nbsp; ;Yellow
<br>index= color=655360&nbsp; ;Dark Blue
<br>index= color=8388608&nbsp; ;Medium Dark Blue
<br>index= color=16056575&nbsp; ;Slightly Dark Magenta
<br>index= color=16711680&nbsp; ;Blue
<br>index= color=16711935&nbsp; ;Magenta
<br>index= color=16755200&nbsp; ;Light Blue
<br>index= color=16758271&nbsp; ;Light Magenta
<br>&nbsp;
</body>
</html>


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-------------------------------------------------------------------------------

From: Hackberg91@aol.com
Subject: Re: (fractint) Some Questions
Date: 28 Jan 1999 12:51:11 EST

In einer eMail vom 24.12.98 07:56:07 MEZ, schreiben Sie:

<< Oh, also Les St. Clair saves them all up every month into a zip file and
you can download all the formulas in one bunch from his web site:
  http://ourworld.compuserve.com/homepages/Les_StClair/ >>

Oh, me fool, I should have known. Thanks for reminding and saving editing time
with notespad (still I collect the Limericks, the hints, the URLs, ...)
Thank you.
Michael Hackenberger (Berlin, Germany)

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-------------------------------------------------------------------------------

From: Tim Gilman <t.gilman@apple.com>
Subject: Re: (fractint) Xfractint
Date: 28 Jan 1999 15:12:27 -0800

Recently my housemate, Blade, has been playing with XFractint on his 
Irix-running Indy.  I forwarded him Tim's reply 'cause he was having 
trouble generating large fractals to video.  He replied with this, which 
is pretty obvious if you read the README (which he didn't, and hence 
spent a few futile hours trying to fix a non-existant bug!), but who 
knows, maybe it'll help..

_______________________________________________
Hi,

You may want to mention the "-private" flag to enable all 256 colors.

It is also necessary (desired) to specift the inage resolution with that 
-disk option.

example:

xfractint -disk -geometry 1024x768

Blade
_______________________________________________

=- Tim Gilman
Fractint for Macintosh, underway at:
http://www.scruz.net/~tgilman/tim/macfract/


>* (twegner@phoenix.net) coughed this up on 1/27/99 9:45 PM:
>Valery asked:
>
>> Hi,
>> How can I execute Xfractint with the batch option in the background (using 
>the command line), I mean without having the Xfractint window opened.
>
>Try 
>
>xfractint -disk
>
>This is a sort of disk video mode, and it works without Xwindows.
>
>Tim

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-------------------------------------------------------------------------------

From: Guy Marson <guy.marson@mnhn.lu>
Subject: (fractint) puzzle
Date: 29 Jan 1999 00:57:16 +0100

Hi fractinters,

this seems to be a good way to visualize the inverse and the normal plain
of a given formula.. 

puzzle5            {
  reset=1920 type=formula formulafile=puzzle.frm formulaname=punkt-2
  function=ident/recip/cosh passes=1
  center-mag=0.00650846/-0.127698/8.206697/1/-77.498 params=5/0/0/-3.2
  float=y maxiter=1000 inside=0 symmetry=none
  colors=D36KLd<5>E6BC00<3>G00H00K00O10S20V20<4>fM1iQ1jT1<5>vo1xs1xr1<15>l\
  Q1kO0jN0iM0<17>Q28O09M0A<6>000<151>000000223<15>fjn<4>NSsMQnLNi
  }

puzzle4            {
  reset=1920 type=formula formulafile=punkt.frm formulaname=punkt-2
  function=ident/recip/cosh passes=1
  center-mag=0.0144481/0.115406/2.348495/1/-77.498 params=5/0/0/-3.2
  float=y maxiter=1000 inside=0 symmetry=none
  colors=D36000000000<3>AACCDFFGIHJLKMO<8>fjn<4>NSs<8>E6BC00<3>G00H00K00O1\
  0S20V20<4>fM1iQ1jT1<5>vo1xs1xr1<15>lQ1kO0jN0iM0<17>Q28O09M0A<6>000<149>0\
  00
  }

frm:punkt-2 { ; using FRACTEXT (10'1996) by Jan Maarten van der Valk
              ; 'periodicity=0' and 'passes=1' recommended
  x=real(scrnpix)/real(scrnmax), y=(imag(scrnmax)-imag(scrnpix))/(rea\
  l(scrnmax)*0.75), z=x+flip(y)
  chrDT1 = y<0.9999&&x>-0.14935&&x<-0.04945
  chrDT2 = y<0.9999&&x>0.05045&&x<0.15035
  chrDT3 = y<0.9999&&x>0.25025&&x<0.35015
  chrDT4 = y<0.9999&&x>0.45005&&x<0.54995
  chrDT5 = y<0.9999&&x>0.64985&&x<0.74975
  chrDT6 = y<0.9999&&x>0.84965&&x<0.94955
  chrDT7 = y<0.9999&&x>1.04945&&x<1.14935
  test1 = chrDT1||chrDT2||chrDT3||chrDT4||chrDT5||chrDT6||chrDT7&&y>0\
  .9&&y<1.233
  chrDT8 = y<0.8999&&x>-0.04945&&x<0.05045
  chrDT9 = y<0.8999&&x>0.15035&&x<0.25025
  chrDT10 = y<0.8999&&x>0.35015&&x<0.45005
  chrDT11 = y<0.8999&&x>0.54995&&x<0.64985
  chrDT12 = y<0.8999&&x>0.74975&&x<0.84965
  chrDT13 = y<0.8999&&x>0.94955&&x<1.04945
  test2 = chrDT8||chrDT9||chrDT10||chrDT11||chrDT12||chrDT13&&y>0.8&&\
  y<1.133
  chrDT14 = y<0.7999&&x>-0.14935&&x<-0.04945
  chrDT15 = y<0.7999&&x>0.05045&&x<0.15035
  chrDT16 = y<0.7999&&x>0.25025&&x<0.35015
  chrDT17 = y<0.7999&&x>0.45005&&x<0.54995
  chrDT18 = y<0.7999&&x>0.64985&&x<0.74975
  chrDT19 = y<0.7999&&x>0.84965&&x<0.94955
  chrDT20 = y<0.7999&&x>1.04945&&x<1.14935
  test3 = chrDT14||chrDT15||chrDT16||chrDT17||chrDT18||chrDT19||chrDT\
  20&&y>0.7&&y<1.033
  chrDT21 = y<0.6999&&x>-0.04945&&x<0.05045
  chrDT22 = y<0.6999&&x>0.15035&&x<0.25025
  chrDT23 = y<0.6999&&x>0.35015&&x<0.45005
  chrDT24 = y<0.6999&&x>0.54995&&x<0.64985
  chrDT25 = y<0.6999&&x>0.74975&&x<0.84965
  chrDT26 = y<0.6999&&x>0.94955&&x<1.04945
  test4 = chrDT21||chrDT22||chrDT23||chrDT24||chrDT25||chrDT26&&y>0.6\
  &&y<0.933
  chrDT27 = y<0.5999&&x>-0.14935&&x<-0.04945
  chrDT28 = y<0.5999&&x>0.05045&&x<0.15035
  chrDT29 = y<0.5999&&x>0.25025&&x<0.35015
  chrDT30 = y<0.5999&&x>0.45005&&x<0.54995
  chrDT31 = y<0.5999&&x>0.64985&&x<0.74975
  chrDT32 = y<0.5999&&x>0.84965&&x<0.94955
  chrDT33 = y<0.5999&&x>1.04945&&x<1.14935
  test5 = chrDT27||chrDT28||chrDT29||chrDT30||chrDT31||chrDT32||chrDT\
  33&&y>0.5&&y<0.833
  chrDT34 = y<0.4999&&x>-0.04945&&x<0.05045
  chrDT35 = y<0.4999&&x>0.15035&&x<0.25025
  chrDT36 = y<0.4999&&x>0.35015&&x<0.45005
  chrDT37 = y<0.4999&&x>0.54995&&x<0.64985
  chrDT38 = y<0.4999&&x>0.74975&&x<0.84965
  chrDT39 = y<0.4999&&x>0.94955&&x<1.04945
  test6 = chrDT34||chrDT35||chrDT36||chrDT37||chrDT38||chrDT39&&y>0.4\
  &&y<0.733
  chrDT40 = y<0.3999&&x>-0.14935&&x<-0.04945
  chrDT41 = y<0.3999&&x>0.05045&&x<0.15035
  chrDT42 = y<0.3999&&x>0.25025&&x<0.35015
  chrDT43 = y<0.3999&&x>0.45005&&x<0.54995
  chrDT44 = y<0.3999&&x>0.64985&&x<0.74975
  chrDT45 = y<0.3999&&x>0.84965&&x<0.94955
  chrDT46 = y<0.3999&&x>1.04945&&x<1.14935
  test7 = chrDT40||chrDT41||chrDT42||chrDT43||chrDT44||chrDT45||chrDT\
  46&&y>0.3&&y<0.633
  chrDT47 = y<0.2999&&x>-0.04945&&x<0.05045
  chrDT48 = y<0.2999&&x>0.15035&&x<0.25025
  chrDT49 = y<0.2999&&x>0.35015&&x<0.45005
  chrDT50 = y<0.2999&&x>0.54995&&x<0.64985
  chrDT51 = y<0.2999&&x>0.74975&&x<0.84965
  chrDT52 = y<0.2999&&x>0.94955&&x<1.04945
  test8 = chrDT47||chrDT48||chrDT49||chrDT50||chrDT51||chrDT52&&y>0.2\
  &&y<0.533
  chrDT53 = y<0.1999&&x>-0.14935&&x<-0.04945
  chrDT54 = y<0.1999&&x>0.05045&&x<0.15035
  chrDT55 = y<0.1999&&x>0.25025&&x<0.35015
  chrDT56 = y<0.1999&&x>0.45005&&x<0.54995
  chrDT57 = y<0.1999&&x>0.64985&&x<0.74975
  chrDT58 = y<0.1999&&x>0.84965&&x<0.94955
  chrDT59 = y<0.1999&&x>1.04945&&x<1.14935
  test9 = chrDT53||chrDT54||chrDT55||chrDT56||chrDT57||chrDT58||chrDT\
  59&&y>0.1&&y<0.433
  chrDT60 = y<0.0999&&x>-0.04945&&x<0.05045
  chrDT61 = y<0.0999&&x>0.15035&&x<0.25025
  chrDT62 = y<0.0999&&x>0.35015&&x<0.45005
  chrDT63 = y<0.0999&&x>0.54995&&x<0.64985
  chrDT64 = y<0.0999&&x>0.74975&&x<0.84965
  chrDT65 = y<0.0999&&x>0.94955&&x<1.04945
  test10 = chrDT60||chrDT61||chrDT62||chrDT63||chrDT64||chrDT65&&y>0&\
  &y<0.333
  test=test1||test2||test3||test4||test5||test6||test7||test8||test9|\
  |test10
  test0=test0&&whitesq
  test0=((test0||test)==0)
  f1=sin(.5*pixel)
  f2=1/(32*pixel)
  pixel=(test==0)*f2+test*f1
  ; Import of formula 'Nwtbumps3' from file _N.FRM
  z = pixel + fn1( fn2( fn3( (pixel/|pixel|) * exp( p2 * |pixel|))))
  Root = 1 :
  z = ((p1-1)*z^p1+Root)/(p1*z^(p1-1))
  .001 <= |z^p1-Root|
  ;SOURCE: crazynwt.frm
  }


enjoy!

Guy

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) puzzle
Date: 29 Jan 1999 15:59:44 -0500

Hi Guy,

>> this seems to be a good way to visualize the inverse and the normal
>> plain of a given formula.. =


>> frm:punkt-2 { ; using FRACTEXT (10'1996) by Jan Maarten van der Valk

  Here is a much faster version of the formula:

frm:punkt-2 { ; Original formula by Guy Marson
              ; Optimized by Sylvie Gallet
              ; 'periodicity=3D0' and 'passes=3D1' recommended
  width =3D real(scrnmax/10)
  x =3D trunc(real(scrnpix)/width + 0.5)
  y =3D trunc(imag(scrnmax - scrnpix)/width/0.75)
  if ( x+y =3D=3D 2*trunc((x+y)/2) )
    pix =3D sin(.5*pixel)
  else
    pix =3D 1/(32*pixel)
  endif
  ; Import of formula 'Nwtbumps3' from file _N.FRM
  z =3D pix + fn1( fn2( fn3( (pix/|pix|) * exp( p2 * |pix|))))
  Root =3D 1 , p1_1 =3D p1 - 1 , zp1_1 =3D z^p1_1
  a =3D 1 - 1/p1 , b =3D root/p1 :
  z =3D a*z + b/zp1_1
  zp1_1 =3D z^p1_1
  .001 <=3D |zp1_1*z - Root|
  }

  Cheers,

        - Sylvie

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-------------------------------------------------------------------------------

From: "Damien M. Jones" <dmj@fractalus.com>
Subject: (fractint) No really, these are my last FractInt PARs :-)
Date: 29 Jan 1999 19:12:38 -0600

Consider these a "proof of concept", they are not my best work. Some might
find them interesting, though. Best viewed at the highest possible
resolution (1600x1200 looks nice).

-----8<----- begin dmj-tce.par

Cobwebs            {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=dmj-Mand-TC1 passes=2
  center-mag=-1.25869/0.369857/15.88512 params=0.125/0.125/0.125/0
  float=y maxiter=256 inside=0 outside=real
  colors=000000<4>z000C0<4>zC00P0<4>zP00a0<4>za00n0<4>zn00z0<4>zz000C<4>z0\
  C0CC<4>zCC0PC<4>zPC0aC<4>zaC0nC<4>znC0zC<4>zzC00P<4>z0P0CP<4>zCP0PP<4>zP\
  P0aP<4>zaP0nP<4>znP0zP<4>zzP00a<4>z0a0Ca<4>zCa0Pa<4>zPa0aa<4>zaa0na<4>zn\
  a0za<4>zza00n<4>z0n0Cn<4>zCn0Pn<4>zPn0an<4>zan0nn<4>znn0zn<4>zzn00z<4>z0\
  z0Cz<4>zCz0Pz<4>zPz0az<4>zaz0nz<4>znz0zz<4>zzz000<29>zzz000<6>000
  cyclerange=0/255
  }

Spots              {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=dmj-Mand-TC002 passes=2
  center-mag=+0.00187793427230018/+0.82296450939457240/66.66667
  params=0.25/0.0625/0.5/0 float=y maxiter=256 inside=0 outside=real
  colors=000000<4>z000C0<4>zC00P0<4>zP00a0<4>za00n0<4>zn00z0<4>zz000C<4>z0\
  C0CC<4>zCC0PC<4>zPC0aC<4>zaC0nC<4>znC0zC<4>zzC00P<4>z0P0CP<4>zCP0PP<4>zP\
  P0aP<4>zaP0nP<4>znP0zP<4>zzP00a<4>z0a0Ca<4>zCa0Pa<4>zPa0aa<4>zaa0na<4>zn\
  a0za<4>zza00n<4>z0n0Cn<4>zCn0Pn<4>zPn0an<4>zan0nn<4>znn0zn<4>zzn00z<4>z0\
  z0Cz<4>zCz0Pz<4>zPz0az<4>zaz0nz<4>znz0zz<4>zzz000<29>zzz000<6>000
  cyclerange=0/255
  }

Gummi              {
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=dmj-Mand-TC003 passes=2
  center-mag=-0.07356494522691753/-0.97147390396659760/49.01961
  params=2/3/-15/0/-1.25/0 float=y maxiter=256 inside=0 outside=real
  colors=000000<4>z000C0<4>zC00P0<4>zP00a0<4>za00n0<4>zn00z0<4>zz000C<4>z0\
  C0CC<4>zCC0PC<4>zPC0aC<4>zaC0nC<4>znC0zC<4>zzC00P<4>z0P0CP<4>zCP0PP<4>zP\
  P0aP<4>zaP0nP<4>znP0zP<4>zzP00a<4>z0a0Ca<4>zCa0Pa<4>zPa0aa<4>zaa0na<4>zn\
  a0za<4>zza00n<4>z0n0Cn<4>zCn0Pn<4>zPn0an<4>zan0nn<4>znn0zn<4>zzn00z<4>z0\
  z0Cz<4>zCz0Pz<4>zPz0az<4>zaz0nz<4>znz0zz<4>zzz000<29>zzz000<6>000
  cyclerange=0/255
  }

FRM:dmj-Mand-TC001 {
;
; This formula places three traps on the complex
; plane, each a wide straight line. Each trap is
; a different color; as the orbit falls into the
; trap, it is "blended" towards the color of the
; trap. Colors accumulate until the point bails
; out.
;
; p1r	Trap 1 width
; p1i	Trap 2 width
; p2r	Trap 3 width
;
; To modify the trap centers, rotations, or
; colors, clone this formula, add your initials
; and a number onto the end of the formula name,
; and make your changes.
;
; initialization:
  r = 0
  g = 0
  b = 0
  done = 0
  i = 0

  t1 = (1.0, 0.5)		; trap centers
  t2 = (0.0, 1.0)
  t3 = (-0.5, -1.0)
  t1r = 255, t1g = 0, t1b = 64	; trap colors
  t2r = 255, t2g = 192, t2b = 0
  t3r = 0, t3g = 192, t3b = 255
  r1 = (0,1)^(0/90)		; trap rotations
  r2 = (0,1)^(45/90)
  r3 = (0,1)^(60/90)
  IF (real(p1) == 0)		; default thresholds
    p1 = 0.5 + flip(imag(p1))
  ENDIF
  IF (imag(p1) == 0)
    p1 = real(p1) + (0,0.5)
  ENDIF
  IF (real(p2) == 0)
    p2 = 0.5 + flip(imag(p2))
  ENDIF
  tt1 = 1 / real(p1)		; reciprocals of trap thresholds
  tt2 = 1 / imag(p1)
  tt3 = 1 / real(p2)
  
  z = pixel, c = pixel
  
  :

; iteration:
  z = sqr(z) + c

  d1 = abs(real((t1-z)*r1))
  d2 = abs(real((t2-z)*r2))
  d3 = abs(real((t3-z)*r3))
  
  IF (d1 < real(p1))
    r = r + (t1r-r)*sqr(d1*tt1)
    g = g + (t1g-g)*sqr(d1*tt1)
    b = b + (t1b-b)*sqr(d1*tt1)
  ENDIF
  IF (d2 < imag(p1))
    r = r + (t2r-r)*sqr(d2*tt2)
    g = g + (t2g-g)*sqr(d2*tt2)
    b = b + (t2b-b)*sqr(d2*tt2)
  ENDIF
  IF (d3 < real(p2))
    r = r + (t3r-r)*sqr(d3*tt3)
    g = g + (t3g-g)*sqr(d3*tt3)
    b = b + (t3b-b)*sqr(d3*tt3)
  ENDIF

; bailout test:
  IF (|z| > 128 ); || i == maxit-2)	; include last part for inside
    done = 1
  ENDIF
  i = i + 1

; color processing:
;  
; True Color Engine 1.0
; Copyright 1999 Damien M. Jones
; http://www.fractalus.com/
;
; This block of formula code provides simulated true color
; in FractInt by dithering. Simply feed red, green, and blue
; values into the variables r, g, and b, set done=1 when your
; values are ready, and store the iteration count in i. To
; view the results, use the associated true color palette,
; use outside=real, and use passes=1 or passes=2; don't use
; guessing.
;
; You can re-use this code in your own formulas, but please
; give credit. Thanks!
;
  IF (done > 0)
    ; 1. Clip to valid ranges
    IF (r > 255)		; You can remove these lines
      r = 255			; if you are absolutely sure
    ENDIF			; your RGB values will never
    IF (g > 255)		; be out of range. That will
      g = 255			; make your formula run a bit
    ENDIF			; faster.
    IF (b > 255)
      b = 255
    ENDIF
    IF (r < 0)
      r = 0
    ENDIF
    IF (g < 0)
      g = 0
    ENDIF
    IF (b < 0)
      b = 0
    ENDIF

    ; 2. Figure out which spot in the dither pattern to use
    ; The dither pattern is a 4x4 matrix; since there are
    ; only six shades of each color, in-between shades must
    ; be "mixed".
    xdither = real(scrnpix) - floor(real(scrnpix)*0.25)*4
    ydither = imag(scrnpix) - floor(imag(scrnpix)*0.25)*4

    ; 3. Calculate the dither threshold for each channel
    ; a. Determine quadrant in dither pattern
    IF (ydither > 1.5)		; bottom half
      ydither = ydither - 2	; move to top half
      IF (xdither < 1.5)	; left half (lower left quadrant)
        rdither = 3
	gdither = 3
	bdither = 3
      ELSE			; right half (lower right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 1
	gdither = 1
	bdither = 1
      ENDIF
    ELSE			; top half
      IF (xdither > 1.5)	; right half (upper right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 2
        gdither = 2
        bdither = 2
      ELSE			; left half (upper left quadrant)
        rdither = 0
        gdither = 0
        bdither = 0
      ENDIF
    ENDIF
    ; b. Determine precise cell in quadrant
    IF (ydither > 0.5)		; bottom half
      IF (xdither < 0.5)	; left half (bottom left cell)
        rdither = rdither + 12
        gdither = gdither + 12
        bdither = bdither + 12
      ELSE			; right half (bottom right cell)
        rdither = rdither + 4
        gdither = gdither + 4
        bdither = bdither + 4
      ENDIF
    ELSE			; top half
      IF (xdither > 0.5)	; right half (upper right cell)
        rdither = rdither + 8
        gdither = gdither + 8
        bdither = bdither + 8
      ENDIF
    ENDIF

    ; 4. Scale r, g, b with dither weight added
    r = (r*80/255 + rdither) * 0.0625
    g = (g*80/255 + rdither) * 0.0625
    b = (b*80/255 + rdither) * 0.0625
    
    ; 5. Compute final color and fudge z
    r = floor(r) + floor(g)*6 + floor(b)*36
    z = r - i - 6
  ENDIF
  
; FractInt bailout:
  done == 0
}

FRM:dmj-Mand-TC002 {
;
; This formula places three traps on the complex
; plane, each a circle. Each trap is
; a different color; as the orbit falls into the
; trap, it is "blended" towards the color of the
; trap. Colors accumulate until the point bails
; out.
;
; p1r	Trap 1 width
; p1i	Trap 2 width
; p2r	Trap 3 width
;
; To modify the trap centers, rotations, or
; colors, clone this formula, add your initials
; and a number onto the end of the formula name,
; and make your changes.
;
; initialization:
  r = 0
  g = 0
  b = 0
  done = 0
  i = 0

  t1 = (0.75, 0.75)		; trap centers
  t2 = (-0.25, 0.0)
  t3 = (-2.0, -0.25)
  t1r = 255, t1g = 0, t1b = 128	; trap colors
  t2r = 0, t2g = 255, t2b = 128
  t3r = 0, t3g = 64, t3b = 255
  r1 = (0,1)^(0/90)		; trap rotations
  r2 = (0,1)^(45/90)
  r3 = (0,1)^(60/90)
  IF (real(p1) == 0)		; default thresholds
    p1 = 0.5 + flip(imag(p1))
  ENDIF
  IF (imag(p1) == 0)
    p1 = real(p1) + (0,0.5)
  ENDIF
  IF (real(p2) == 0)
    p2 = 0.5 + flip(imag(p2))
  ENDIF
  tt1 = 1 / real(p1)		; reciprocals of trap thresholds
  tt2 = 1 / imag(p1)
  tt3 = 1 / real(p2)
  
  z = pixel, c = pixel
  
  :

; iteration:
  z = sqr(z) + c

  d1 = |t1-z|
  d2 = |t2-z|
  d3 = |t3-z|
  
  IF (d1 < real(p1))
    r = r + (t1r-r)*(1-sqrt(d1*tt1))
    g = g + (t1g-g)*(1-sqrt(d1*tt1))
    b = b + (t1b-b)*(1-sqrt(d1*tt1))
  ENDIF
  IF (d2 < imag(p1))
    r = r + (t2r-r)*(1-sqrt(d2*tt2))
    g = g + (t2g-g)*(1-sqrt(d2*tt2))
    b = b + (t2b-b)*(1-sqrt(d2*tt2))
  ENDIF
  IF (d3 < real(p2))
    r = r + (t3r-r)*(1-sqrt(d3*tt3))
    g = g + (t3g-g)*(1-sqrt(d3*tt3))
    b = b + (t3b-b)*(1-sqrt(d3*tt3))
  ENDIF

; bailout test:
  IF (|z| > 128 ); || i == maxit-2)	; include last part for inside
    done = 1
  ENDIF
  i = i + 1

; color processing:
;  
; True Color Engine 1.0
; Copyright 1999 Damien M. Jones
; http://www.fractalus.com/
;
; This block of formula code provides simulated true color
; in FractInt by dithering. Simply feed red, green, and blue
; values into the variables r, g, and b, set done=1 when your
; values are ready, and store the iteration count in i. To
; view the results, use the associated true color palette,
; use outside=real, and use passes=1 or passes=2; don't use
; guessing.
;
; You can re-use this code in your own formulas, but please
; give credit. Thanks!
;
  IF (done > 0)
    ; 1. Clip to valid ranges
    IF (r > 255)		; You can remove these lines
      r = 255			; if you are absolutely sure
    ENDIF			; your RGB values will never
    IF (g > 255)		; be out of range. That will
      g = 255			; make your formula run a bit
    ENDIF			; faster.
    IF (b > 255)
      b = 255
    ENDIF
    IF (r < 0)
      r = 0
    ENDIF
    IF (g < 0)
      g = 0
    ENDIF
    IF (b < 0)
      b = 0
    ENDIF

    ; 2. Figure out which spot in the dither pattern to use
    ; The dither pattern is a 4x4 matrix; since there are
    ; only six shades of each color, in-between shades must
    ; be "mixed".
    xdither = real(scrnpix) - floor(real(scrnpix)*0.25)*4
    ydither = imag(scrnpix) - floor(imag(scrnpix)*0.25)*4

    ; 3. Calculate the dither threshold for each channel
    ; a. Determine quadrant in dither pattern
    IF (ydither > 1.5)		; bottom half
      ydither = ydither - 2	; move to top half
      IF (xdither < 1.5)	; left half (lower left quadrant)
        rdither = 3
	gdither = 3
	bdither = 3
      ELSE			; right half (lower right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 1
	gdither = 1
	bdither = 1
      ENDIF
    ELSE			; top half
      IF (xdither > 1.5)	; right half (upper right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 2
        gdither = 2
        bdither = 2
      ELSE			; left half (upper left quadrant)
        rdither = 0
        gdither = 0
        bdither = 0
      ENDIF
    ENDIF
    ; b. Determine precise cell in quadrant
    IF (ydither > 0.5)		; bottom half
      IF (xdither < 0.5)	; left half (bottom left cell)
        rdither = rdither + 12
        gdither = gdither + 12
        bdither = bdither + 12
      ELSE			; right half (bottom right cell)
        rdither = rdither + 4
        gdither = gdither + 4
        bdither = bdither + 4
      ENDIF
    ELSE			; top half
      IF (xdither > 0.5)	; right half (upper right cell)
        rdither = rdither + 8
        gdither = gdither + 8
        bdither = bdither + 8
      ENDIF
    ENDIF

    ; 4. Scale r, g, b with dither weight added
    r = (r*80/255 + rdither) * 0.0625
    g = (g*80/255 + rdither) * 0.0625
    b = (b*80/255 + rdither) * 0.0625
    
    ; 5. Compute final color and fudge z
    r = floor(r) + floor(g)*6 + floor(b)*36
    z = r - i - 6
  ENDIF
  
; FractInt bailout:
  done == 0
}

FRM:dmj-Mand-TC003 {
;
; This formula places a single rainbow-colored
; ring trap on the complex plane. As the orbit falls
; into the trap, it is "blended" towards the
; color of the trap at the point it lands.
; Colors accumulate until the point bails out.
;
; p1r	Trap 1 width
; p1i	Trap 1 diameter
; p2r	Trap rotation
; p2i	Trap aspect
; p3	Trap center
;
; To modify the trap centers, rotations, or
; colors, clone this formula, add your initials
; and a number onto the end of the formula name,
; and make your changes.
;
; initialization:
  r = 0
  g = 0
  b = 0
  done = 0
  i = 0

  t1 = p3 ;(0.75, 0.75)		; trap centers
  r1 = (0,1)^(0/90)		; trap rotations
  IF (real(p1) == 0)		; default thresholds
    p1 = 0.5 + flip(imag(p1))
  ENDIF
  IF (imag(p1) == 0)
    p1 = real(p1) + (0,0.25)
  ENDIF
  IF (imag(p2) == 0)
    p2 = real(p2) + (0,1.0)
  ENDIF
  r1 = (0,1)^(real(p2)/90)	; trap rotations
  a1 = imag(p2)			; aspect ratio
  tt1 = 1 / real(p1)		; reciprocals of trap thresholds
  
  z = pixel, c = pixel
  
  :

; iteration:
  z = sqr(z) + c

  z1 = (z-t1) * r1
  z1 = real(z1) + flip(imag(z1)*a1)
  d1 = abs(cabs(z1)-imag(p1))
  
  IF (d1 < real(p1))
    d1 = 1 - (d1*tt1)
    h = (atan(imag(z1)/real(z1)) + pi/2) * 127.5/pi
    IF (real(z1) < 0)
      h = h + 127.5
    ENDIF
    s = 255
    l = 255 * sqr(d1)
    
    ; HSL -> RGB conversion code
    IF (s == 0)			; zero saturation (grey shade)
      t1r = l, t1g = l, t1b = l	; take the easy way out
    ELSE			; non-zero saturation
      IF (l < 128)		; lightness in the low half
        ls2 = l * (255+s) / 255	; compute lightest value
      ELSE			; lightness in the high half
        ls2 = l+s - (l*s) / 255	; compute lightest value
      ENDIF
      ls1 = 2*l - ls2		; compute darkest value
      IF (h < 42.6666667)	; first sixth: red to yellow
        t1r = 255
        t1g = h * 6
	t1b = 0
      ELSEIF (h < 87.3333333)	; second sixth: yellow to green
        t1r = (87.3333333 - h) * 6
        t1g = 255
	t1b = 0
      ELSEIF (h < 128)		; third sixth: green to cyan
        t1r = 0
        t1g = 255
        t1b = (h-87.3333333) * 6
      ELSEIF (h < 170.6666667)	; fourth sixth: cyan to blue
        t1r = 0
        t1g = (170.6666667 - h) * 6
	t1b = 255
      ELSEIF (h < 214.3333333)	; fifth sixth: blue to magenta
        t1r = (h-170.6666667) * 6
        t1g = 0
	t1b = 255
      ELSE			; last sixth: magenta to red
        t1r = 255
        t1g = 0
        t1b = (255 - h) * 6
      ENDIF
      ls2 = (ls2 - ls1) / 255	; brightness range
      t1r = ls1 + t1r*ls2	; scale RGB accordingly
      t1g = ls1 + t1g*ls2
      t1b = ls1 + t1b*ls2
    ENDIF
    r = r + (t1r-r)*(d1)
    g = g + (t1g-g)*(d1)
    b = b + (t1b-b)*(d1)
  ENDIF

; bailout test:
  IF (|z| > 128 ); || i == maxit-2)	; include last part for inside
    done = 1
  ENDIF
  i = i + 1

; color processing:
;  
; True Color Engine 1.0
; Copyright 1999 Damien M. Jones
; http://www.fractalus.com/
;
; This block of formula code provides simulated true color
; in FractInt by dithering. Simply feed red, green, and blue
; values into the variables r, g, and b, set done=1 when your
; values are ready, and store the iteration count in i. To
; view the results, use the associated true color palette,
; use outside=real, and use passes=1 or passes=2; don't use
; guessing.
;
; You can re-use this code in your own formulas, but please
; give credit. Thanks!
;
  IF (done > 0)
    ; 1. Clip to valid ranges
    IF (r > 255)		; You can remove these lines
      r = 255			; if you are absolutely sure
    ENDIF			; your RGB values will never
    IF (g > 255)		; be out of range. That will
      g = 255			; make your formula run a bit
    ENDIF			; faster.
    IF (b > 255)
      b = 255
    ENDIF
    IF (r < 0)
      r = 0
    ENDIF
    IF (g < 0)
      g = 0
    ENDIF
    IF (b < 0)
      b = 0
    ENDIF

    ; 2. Figure out which spot in the dither pattern to use
    ; The dither pattern is a 4x4 matrix; since there are
    ; only six shades of each color, in-between shades must
    ; be "mixed".
    xdither = real(scrnpix) - floor(real(scrnpix)*0.25)*4
    ydither = imag(scrnpix) - floor(imag(scrnpix)*0.25)*4

    ; 3. Calculate the dither threshold for each channel
    ; a. Determine quadrant in dither pattern
    IF (ydither > 1.5)		; bottom half
      ydither = ydither - 2	; move to top half
      IF (xdither < 1.5)	; left half (lower left quadrant)
        rdither = 3
	gdither = 3
	bdither = 3
      ELSE			; right half (lower right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 1
	gdither = 1
	bdither = 1
      ENDIF
    ELSE			; top half
      IF (xdither > 1.5)	; right half (upper right quadrant)
        xdither = xdither - 2	; move to left half
        rdither = 2
        gdither = 2
        bdither = 2
      ELSE			; left half (upper left quadrant)
        rdither = 0
        gdither = 0
        bdither = 0
      ENDIF
    ENDIF
    ; b. Determine precise cell in quadrant
    IF (ydither > 0.5)		; bottom half
      IF (xdither < 0.5)	; left half (bottom left cell)
        rdither = rdither + 12
        gdither = gdither + 12
        bdither = bdither + 12
      ELSE			; right half (bottom right cell)
        rdither = rdither + 4
        gdither = gdither + 4
        bdither = bdither + 4
      ENDIF
    ELSE			; top half
      IF (xdither > 0.5)	; right half (upper right cell)
        rdither = rdither + 8
        gdither = gdither + 8
        bdither = bdither + 8
      ENDIF
    ENDIF

    ; 4. Scale r, g, b with dither weight added
    r = (r*80/255 + rdither) * 0.0625
    g = (g*80/255 + rdither) * 0.0625
    b = (b*80/255 + rdither) * 0.0625
    
    ; 5. Compute final color and fudge z
    r = floor(r) + floor(g)*6 + floor(b)*36
    z = r - i - 6
  ENDIF
  
; FractInt bailout:
  done == 0
}

-----8<----- end dmj-tce.par

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) FW: IMPORTANT MESSAGE!!
Date: 30 Jan 1999 03:38:26 -0500



-------------Forwarded Message-----------------

	[unknown], INTERNET:sellers@monroe.k12.mi.us
	[unknown], INTERNET:complo@monroe.k12.mi.us
	"'cindy'", INTERNET:KCTAZ28@aol.com
	"'PRESBC@AOL.COM'", INTERNET:PRESBC@aol.com
	"'Michael Benham'", INTERNET:mbenham@ascservices.com
	"'Laura Strube'", INTERNET:Laura_C_Strube@comerica.com
	"'LAURA AT HOME'", INTERNET:LSTRUBE@PROVIDE.NET
	"'embee'", INTERNET:Mary_E_Will@comerica.com
	"'Dee'", INTERNET:malondi@aol.com
	"'Debbie Knoch'", INTERNET:tiggerdw10@aol.com
	"'Dave Franey'", INTERNET:DFRANEY@orbseal.ORSCHELN.com
	"'Brian LaBaza'", INTERNET:blabaza@ascservices.com
	"'Beth Clary'", INTERNET:bclaryclan@aol.com
	"'Barry at home'", [110144,2274]
	=


RE:	FW: IMPORTANT MESSAGE!!

Sender: gffaulhaber@hedesign.com
Received: from hed2server.hedesign.com (hed2server.hedesign.com [207.91.2=
33.10])
	by arl-img-5.compuserve.com (8.8.6/8.8.6/2.17) with ESMTP id HAA01261
	for <110144.2274@compuserve.com>; Fri, 29 Jan 1999 07:16:03 -0500 (EST)
Message-ID: <502F0301F885D11196C9080009C0939AF245CB@hed2server.hedesign.c=
om>
        "'Beth Clary'"
	 <bclaryclan@aol.com>,
        "'Brian LaBaza'" <blabaza@ascservices.com>,
        "'Dave Franey'" <DFRANEY@orbseal.ORSCHELN.com>,
        "'Debbie Knoch'"
	 <tiggerdw10@aol.com>, "'Dee'" <malondi@aol.com>,
        "'embee'"
	 <Mary_E_Will@comerica.com>,
        "'LAURA AT HOME'" <LSTRUBE@PROVIDE.NET>,
        "'Laura Strube'" <Laura_C_Strube@comerica.com>,
        "'Michael Benham'"
	 <mbenham@ascservices.com>,
        "'PRESBC@AOL.COM'" <PRESBC@aol.com>, "'cindy'"
	 <KCTAZ28@aol.com>,
        complo@monroe.k12.mi.us, sellers@monroe.k12.mi.us,
        nwright@ascservices.com
MIME-Version: 1.0
Content-Type: text/plain;
	charset=3D"iso-8859-1"

Beware of the frogs!

-----Original Message-----

Sent:	Friday, January 29, 1999 7:05 AM

Please be advised that there are several viruses floating around on the
internet and especially e-mail.
IT
-----Original Message-----

Sent:	Thursday, January 28, 1999 4:40 PM







Someone is sending out a very desirable
screen-saver, the "Budweiser Frogs BUDDYLST.ZIP"
If you download it, you will lose everything
Your hard drive will crash and someone from the
Internet will get your screen name and password =

DO NOT DOWNLOAD THIS UNDER ANY CIRCUMSTANCES, =

IT JUST WENT INTO CIRCULATION LAST WEEK, WHICH
MEANS VIRUS PROTECTION SOFTWARE MAY NOT BE ABLE
TO DETECT IT.  ALSO AT LEAST ACCORDING TO
AMERICA ONLINE THERE IS NO REMEDY IF YOUR SYSTEM
IS HARMED.  PLEASE HELP TO DISTRIBUTE THIS
MESSAGE.
This is a new, very malicious virus and not many
people know about it.
This information was announced yesterday morning
from Microsoft. Please share it with everyone
that might access the Internet.  Once again,
pass this along to EVERYONE in your address book
so that this may be stopped. Also do not open or
even look at any mail that says "RETURNED OR
UNABLE TO DELIVER".
This virus will attach itself to your computer
components and render them useless. Immediately
delete mail items that say this.
PROTECT YOURSELF AND OTHERS:  Please practice
cautionary measures and do not open any email
that you are not sure of.
1-Delete all mail from outside sources which are
unsolicited or not otherwise identified from a
known source.
2-Do not download any executable files that you
are not completely sure of.
As the above warning indicates, some of these
viruses attach themselves to your software and
hardware.

___________________________________________________

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-------------------------------------------------------------------------------

From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) Notice from Symantec
Date: 30 Jan 1999 04:32:09 -0500

<Picture><Picture>
<Picture: Symantec logo>
<Picture: United States>
<Picture: AntiVirus Research Center>

Advanced Search
<Picture>
<Picture: Information for You>
<Picture>
<Picture: Shop Symantec>
<Picture>
<Picture: Products>
<Picture>
<Picture: Resource Centers>
<Picture: -------->AntiVirus Research Center
<Picture>Download Updates
<Picture>Virus Encyclopedia
<Picture>Virus Hoaxes
<Picture>Reference Area
<Picture>Submit Virus Samples
<Picture>
<Picture: Service and Support>
<Picture>
<Picture: About Symantec>
<Picture>
<Picture>
<Picture>
<Picture>
<Picture: Feedback><Picture: Help>


=A9 1998 Symantec Corporation
All rights reserved. <Picture: spacer>BUDDYLST.ZIP =

Aliases: Budweiser Infection length: Hoax Area of infection: Hoax
Likelihood: Hoax Region reported: Online Characteristics: Hoax Target
platform: Hoax Trigger date: Hoax <Picture>
Description: =




BUDDYLST.ZIP is not a virus. It is a hoax. The "virus" does not exist.
There is currently no virus that has the characteristics ascribed to
BUDDYLST.ZIP. It is a sham, meant only to panic new or inexperienced
computer users. =


The hoax message includes the following "warning" in several forms: =


Form 1:




Yesterday a friend of mine called and told me about something that happen=
ed
to him. He opened his E-mail and this BUDDYLST.ZIP was there. When he
opened it his computer crashed and when he tried to re-boot he had lost
everything! It was a Virus that os being passed around...........BEWARE! =


Please forward to as many people as you can so no one will get hurt. Thes=
e
people need to be stopped. Don't download anything form "buddylst.zip" or=

you will lose all your files. =




Form 2:




A computer virus is going around! It is called BUDDYLST.ZIP! Do not
download or some jerk from the internet will get your screen name and
password! Please send this to any names you can think of and remember nev=
er
download BUDDYLST.ZIP =




Form 3: =




VIRUS ALERT

Someone is sending out a very desirable screen-saver, the Budweiser Frogs=
 -
"BUDDYLST.ZIP". If you download it, you will lose everything!!! Your hard=

drive will crash and someone from the Internet will get your screen name
and password!

DO NOT DOWNLOAD THIS UNDER ANY CIRCUMSTANCES!!!

IT JUST WENT INTO circulation yesterday, as far as we know. Please
distribute/inform this message.

This is a new, very malicious virus and not many people know about it. Th=
is
information was announced yesterday morning from Microsoft. Please share =
it
with everyone that might access the Internet. Once again, pass this along=

to EVERYONE in your address book so at this may be stopped.

Also do not open or even look at any mail that says "RETURNED OR UNABLE T=
O
DELIVER". This virus will attach itself to your computer components and
render them useless. Immediately delete mail=3DA0 items that say this. AO=
L
has said that this is a very dangerous virus and that there is NO remedy
for it at this time. Please practice cautionary measures and forward this=

to all you on-line friends ASAP.



Please ignore any messages regarding this supposed "virus" and do not pas=
s
on any messages regarding it. Passing on messages about this hoax serves
only to further propagate it. =



<Picture>
Use the index files to locate virus information by name: =

A-AmDn-DzH-HmKn-KzO-OmR-RmU-UmX-XmAn-AzE-EmHn-HzL-LmOn-OzRn-RzUn-UzXn-XzB=
-B
mEn-EzI-ImLn-LzP-PmS-SmV-VmY-YmBn-BzF-FmIn-IzM-MmPn-PzSn-SzVn-VzYn-YzC-Cm=
Fn
-FzJ-JmMn-MzQ-QmT-TmW-WmZ-ZmCn-CzG-GmJn-JzN-NmQn-QzTn-TzWn-WzZn-ZzD-DmGn-=
Gz
K-KmNn-Nz0-9 and Special Characters
<Picture>
<Picture>Cross-reference data provided by Project VGrep.
Implemented with permission of Virus Bulletin.

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) HOAX!!! (was IMPORTANT MESSAGE!!)
Date: 30 Jan 1999 05:08:40 -0500


  It seems that you have a lot to learn about the Netiquette...

  BUDDYLST.ZIP is not a virus, it is a HOAX, and the Fractint list is not=
 a
discussion list about viruses.

  Instead of getting two copies of this spam plus the notice from Symante=
c,
I would have much more appreciated a simple "thank you" for the time I
spent in trying to help you about your video card problem, even though I
didn't manage to solve it.

        - Sylvie

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-------------------------------------------------------------------------------

From: "Benjamin S. Franzus" <bfranzus@stc.net>
Subject: (fractint) Re: Frog Scare
Date: 30 Jan 1999 10:54:20 -0500

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<body text="#000000" bgcolor="#FFFFFF" link="#3366FF" vlink="#800040" alink="#000099">
&nbsp;
<br>The Budweiser Frogs BUDDYLST.ZIP" is <b><font size=+1>a Hoax</font></b>
<p>Please check either the following site or one similar to it before forwarding
crap like this:
<br>&nbsp;<a href="http://www.nai.com/services/support/hoax/hoax.asp">Virus
Hoax Information</a>
<blockquote TYPE=CITE>Beware of the frogs!</blockquote>

<blockquote TYPE=CITE>Someone is sending out a very desirable
<br>screen-saver, the "Budweiser Frogs BUDDYLST.ZIP"
<br>If you download it, you will lose everything
<br>Your hard drive will crash and someone from the
<br>Internet will get your screen name and password
<br>DO NOT DOWNLOAD THIS UNDER ANY CIRCUMSTANCES,
<br>IT JUST WENT INTO CIRCULATION LAST WEEK, WHICH
<br>MEANS VIRUS PROTECTION SOFTWARE MAY NOT BE ABLE
<br>TO DETECT IT.&nbsp; ALSO AT LEAST ACCORDING TO
<br>AMERICA ONLINE THERE IS NO REMEDY IF YOUR SYSTEM
<br>IS HARMED.&nbsp; PLEASE HELP TO DISTRIBUTE THIS
<br>MESSAGE.
<br>This is a new, very malicious virus and not many
<br>people know about it.
<br>This information was announced yesterday morning
<br>from Microsoft. Please share it with everyone
<br>that might access the Internet.&nbsp; Once again,
<br>pass this along to EVERYONE in your address book
<br>so that this may be stopped. Also do not open or
<br>even look at any mail that says "RETURNED OR
<br>UNABLE TO DELIVER".
<br>This virus will attach itself to your computer
<br>components and render them useless. Immediately
<br>delete mail items that say this.
<br>PROTECT YOURSELF AND OTHERS:&nbsp; Please practice
<br>cautionary measures and do not open any email
<br>that you are not sure of.
<br>1-Delete all mail from outside sources which are
<br>unsolicited or not otherwise identified from a
<br>known source.
<br>2-Do not download any executable files that you
<br>are not completely sure of.
<br>As the above warning indicates, some of these
<br>viruses attach themselves to your software and
<br>hardware.</blockquote>

</body>
</html>


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-------------------------------------------------------------------------------

From: "Tim Wegner" <twegner@phoenix.net>
Subject: (fractint) On topic please!
Date: 30 Jan 1999 10:56:51 -0600

<color><param>0100,0100,0100</param>Folks, no more messages about viruses, real or otherwise on this 
list, which is about fractals. Also, when you chastise a foolish list 
member for posting something off topic, unfortunately you 
exacerbate the problem if you post it on the list. Send the mail 
privately. I have written Barry an email about his off topic post, and 
I want to see no more discussion about this on the list. 


I don't even want to see any "right on" messages in response to 
THIS message, I already KNOW I'm "right on" :-) 


Thanks, I'm sure with a moment's thought you all see the point. 
This list is for fdiscussion about fractals. Messages on any other 
topic, even topics of weighty import, reduces the usefulness of this 
list.


Thanks to everyone for generally following this quite well, with the 
occasional lapses that annoy us all.


Tim Wegner

Fractint list administrator


<nofill>

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-------------------------------------------------------------------------------

From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) On topic please!
Date: 30 Jan 1999 13:01:12 -0500

Hi Tim,

  Your message arrived as a binary attachment and I couldn't read it. =

Could you repost it in plain text?

  Cheers,

        - Sylvie

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-------------------------------------------------------------------------------

From: Bob Margolis <rttyman@wwa.com>
Subject: (fractint) PARS for the course
Date: 30 Jan 1999 17:25:47 -0600

012899-1           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=1
  center-mag=-2.66454e-015/1.77636e-015/0.2788495
  params=-0.04601861277099815/-0.6446263229617188/5.0005/0 float=y
  maxiter=255 fillcolor=0 inside=0 invert=0.5/0/0 symmetry=xyaxis
  periodicity=0 viewwindows=1/1/yes/0/0
  colors=000NDK<12>unr<14>CIB000<4>000NWN<9>lyl<15>05A28D5BG<190>KAH
  cyclerange=0/0
  }

013099-1           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julia passes=1
  center-mag=-0.0105135/0.753205/5.547585
  params=-0.7918912308256754/0.1619253730548343 float=y maxiter=1000
  inside=maxiter invert=0.5/0/0 symmetry=xyaxis periodicity=0
  viewwindows=1/0.75/yes/0/0
  colors=000<63>000<2>Da1<2>Fy3<5>Dn3<2>000000<2>9`2<8>5K14E12710000002224\
  55788<3>D1JJ1SQ0`<2>M0V<2>000000<2>B0G<2>709<4>z00z10<2>000000<2>zE0<8>z\
  W0<2>000000<2>hS0<4>D80<2>zy0xw0<2>000000<2>hi0<2>bc0_`0YZ0VW0TU0QR0OO0<\
  2>000000<2>Da1<2>Fy3<5>Dn3<2>000000<2>9`2<8>5K14E1271000<47>000
  cyclerange=0/0
  }

013099-2           { ; (c) 1999 by Bob Margolis
  reset=1960 type=julzpower passes=t
  center-mag=1.33227e-014/-1.42109e-014/0.8300813/1.3333
  params=-0.5667499414994914/0.5584738874017759/2.5/0 float=y
  maxiter=255 inside=maxiter distest=-2/30/768/768 symmetry=xyaxis
  periodicity=0 viewwindows=1/1/yes/0/0
  colors=00LLLL000e0ezLL<15>zLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e\
  0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzze\
  zz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e\
  0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzze\
  zz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e\
  0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzze\
  zz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e\
  0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzze\
  zz0zzLez00z0Le00LLLL000e0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Le00LLLLccc<\
  13>ccc000e0ezLLzLezLzzezzz0zzezzzezz0zzLez00z0Leccc cyclerange=0/0
  }

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-------------------------------------------------------------------------------

From: Guy Marson <guy.marson@mnhn.lu>
Subject: Re: (fractint) puzzle
Date: 31 Jan 1999 02:17:27 +0100

Hi Sylvie!


>frm:punkt-2 { ; Original formula by Guy Marson
>              ; Optimized by Sylvie Gallet
>              ; 'periodicity=0' and 'passes=1' recommended

>  width = real(scrnmax/10)


Thanks for this job! It's a good idea! I'm now motivated to experience
formulas this way...

I think, I gonna set the:  width = real(scrnmax/imag(p3))


and the :  x = trunc(real(scrnpix)/width + 0.5) to

           x = round(real(scrnpix)

so the     y = trunc(imag(scrnmax - scrnpix)/width/0.75) to

           y = round(imag(scrnmax - scrnpix)/width/imag(p3))

... with the old "try and error" methode.. (I'm a mathematically a simple "0")

>  if ( x+y == 2*trunc((x+y)/2) )
>    pix = sin(.5*pixel)
>  else
>    pix = 1/(32*pixel)
>  endif
>  ; Import of formula 'Nwtbumps3' from file _N.FRM
>  z = pix + fn1( fn2( fn3( (pix/|pix|) * exp( p2 * |pix|))))
>  Root = 1 , p1_1 = p1 - 1 , zp1_1 = z^p1_1
>  a = 1 - 1/p1 , b = root/p1 :
>  z = a*z + b/zp1_1
>  zp1_1 = z^p1_1
>  .001 <= |zp1_1*z - Root|
>  }
>


anyway, beautiful PRG, this FRACTEXT.EXE !


Thanks a lot! 

Cheers, 

Guy



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-------------------------------------------------------------------------------

From: JimBeau549@aol.com
Subject: (fractint) Loyal to Thee
Date: 30 Jan 1999 22:26:18 EST


  Hi Folks, 

   I just wanted to say that I'll always be a Fractint list member.  I notice
a bit of a migration towards UltraFractal as even myself have done, but
Fractint will always be King in my opinion. Although UF does some really fine
stuff with images, I prefer to search for them using Fractint first and then
fine tuning them with UF afterwards.

     Regards~

  Jim Weaver

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-------------------------------------------------------------------------------

From: Kivryn <kivryn_h@yahoo.com>
Subject: (fractint) Web Page Construction--Help!!  O/T?
Date: 30 Jan 1999 19:55:55 -0800 (PST)

Hi guys and gals,

I really need some suggestions on how to get a web page up without
having to learn all that html stuff.  I've got a good book for it, but
since I've been working I just don't have time to sit down and learn
it and do everything else I have to do in a day. Is there an easier
way to make a web page?  I just want something simple:  a front page
for a little write up and links to gallery pages and maybe a link
page.  The galleries I simply want to set up for maybe 16 thumb nails
to take you to the larger version of the fractal.  

Can anyone offer me some suggestions?  I'm wanting to do another site
for some other creative work, but it's a little more complicated (I
think).  But I'd love to get my fractal site up.  :)

Thanks to any and all who can help me.
Debora
_________________________________________________________
DO YOU YAHOO!?
Get your free @yahoo.com address at http://mail.yahoo.com


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-------------------------------------------------------------------------------

From: "Paul N. Lee" <Paul.N.Lee@Worldnet.att.net>
Subject: Re: (fractint) Web Page Construction--Help!!  O/T?
Date: 31 Jan 1999 07:12:16 -0600

Debora wrote:
>
> I really need some suggestions on how to get a web page up without
> having to learn all that html stuff.  I've got a good book for it, but
> since I've been working I just don't have time to sit down and learn
> it and do everything else I have to do in a day. Is there an easier
> way to make a web page?  I just want something simple:  a front page
> for a little write up and links to gallery pages and maybe a link
> page.  The galleries I simply want to set up for maybe 16 thumb nails
> to take you to the larger version of the fractal.
>
> Can anyone offer me some suggestions?  I'm wanting to do another site
> for some other creative work, but it's a little more complicated (I
> think).  But I'd love to get my fractal site up.  :)
>

If you find a website that is similar to what you want to do for yours,
then you could just use the browser's FILE | SAVE_AS to get a copy of
the source HTML and modify it for your own.

Also, there are several products available on the market for webpage
creation (Freeware and Shareware).  Just download one from the various
"give-away" websites and have a go at learning that software.

Either way, you will have to learn something new.  But HTML is not hard
at all, and Notepad is the perfect editor.   :-)

P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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-------------------------------------------------------------------------------

From: "Axel Schwanh?u?er" <Axel.H.G.Schwanhaeusser@physik.stud.uni-erlangen.de>
Subject: (fractint) high res. pictures 4096*2732
Date: 31 Jan 1999 16:11:50 +0000

Hi alltogether,

I would like to create large high res. Fractint Pictures with Fractint
19.6. My goal are 4096*2732 points 256colors. I didn't find an easier
way to create manually the
four 1024 * 768 pictures by evaluating the x-y-coordinates ba my own
hands.
And then putting them together in a pciture-edding-Program like Corel.

Does anybody has an idea to make this more efficient?

Yours sincerly,

Axel Schwan=E4u=DFer


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-------------------------------------------------------------------------------

From: aq936@freenet.carleton.ca (Michael Traynor)
Subject: Re: (fractint) high res. pictures 4096*2732
Date: 31 Jan 1999 10:23:52 -0500 (EST)

>I would like to create large high res. Fractint Pictures with Fractint
>19.6. My goal are 4096*2732 points 256colors. I didn't find an easier
>way to create manually the
>four 1024 * 768 pictures by evaluating the x-y-coordinates ba my own
>hands.
>And then putting them together in a pciture-edding-Program like Corel.
>
>Does anybody has an idea to make this more efficient?

Axel,

In fractint, hit "b" for the save pars screen.  Toward the bottom there
are places for you to specify x and y multiples.  If you put a "2" in
each, fractint will divide the screen in 4, 2 rows, 2 columns and save the
pars for the four images, together with a file called makemig.bat (IIRC). 
When you run makemig.bat from the command prompt it will batch generate the
four images and piece them together into a multi-image gif file, and if you
remove the "rem" at the beginning of the next to last line of makemig.bat
(the line that refers to simplgif) it will convert the multi-image gif to
a straightforward gif (since many viewers don't handle multi-image gifs).
There is more in the fractint documentation.

You can use this technique to make images up to 64Kx64K, if you have the
machine to handle it.  Even for smaller images, it helps to have lots of
memory, as to make the simple gif image the machine needs enough memory
(or disk space) to hold 3 copies, uncompressed.

Sometimes there are problems at the edges of the component images,
particularly if you use a guessing method for drawing, so I usually use
the one pass method to avoid the problem.

One thing to remember is that by dividing up the images, you are
effectively zooming into the original.  You might need to up the interation
count in the original (or edit the pars, which are in fractint.par) and
you need to be careful when you are near the limits of fp math, as a zoom
my put you into arbitrary precision, and really slow things down.

Hope this helps (and isn't wrong - but I'm sure someone will set me
straight if it is).


--
Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
	Abraham Lincoln

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-------------------------------------------------------------------------------

From: "Mike and Linda Allison" <gumbycat@ix.netcom.com>
Subject: Re: (fractint) high res. pictures 4096*2732
Date: 31 Jan 1999 08:18:00 -0800

Your close, Michael.  But there are a few steps that should be
clarified, I think.

I have a web page up that explains how to make high resolution prints in
Fractint.  You have to use makemig and simplgif both.

You can check it out at:

http://www.geocities.com/~gumbycat/lesson4.html

Hope that helps!

PS  I have a revised gallery up at:
http://www.fractalus.com/gumbycat/gallery4.html
Please stop in for a visit!

Linda


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-------------------------------------------------------------------------------

From: "Morgen H Bell" <morgenb@cobweb.net>
Subject: (fractint) Date: Sun, 31 Jan 1999 15:31:43 -0500
Date: 31 Jan 1999 13:30:37 -0700

Hi there!
    I'm relatively new to fractals and I have a question about deep zooming.
I've been looking at a mandelfn(sin) fractal, and when I zoom fairly far
into it, the pixels stop being square and start being small vertical lines.
Is this normal?  Have I reached the effective limit of magnification or is
there some way around this?
                                                    Morgen Bell


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-------------------------------------------------------------------------------

From: Ron Barnett <rbarnett@telenet.net>
Subject: (fractint) Unusual minibrot
Date: 31 Jan 1999 15:55:45 -0500

I have been exploring some formula variations of the Mandelbrot set in 
which every other iteration is perturbed by another function. I came across 
an unusual set of spirals around a minibrot which I thought looked neat.

========== The Formula =======================

multifract1 = { ; Ron Barnett, January 1999
   ; Use decomp = 256 or outside = atan
   ; Use imag(p3) to change the color spread
   zc = z = c = pixel
   IF ((real(p1)) == 0 && (imag(p1) == 0))
      p1 = (0,-0.5)
   ENDIF
   IF ((real(p2)) == 0 && (imag(p2) == 0))
      p2 = 1
   ENDIF
   IF (real(p3) == 0)
      p3 = p3 + (10000,0)
   ENDIF
   IF (imag(p3) == 0)
      p3 = p3 + (0,10)
   ENDIF
   choice = iterexp = 0:
   choice = (choice == 0)
   IF (choice == 0)
      zc = p2*(zc*zc + c)
      iterexp = iterexp + exp(-cabs(zc))
   ELSE
      z1 = exp(zc)
      z2 = sin(zc) + z1 - 1
      zc = zc - p1*z2/(cos(zc) + z1)
   ENDIF
   IF (|zc| > real(p3))
      smooth = iterexp*imag(p3)*pi/128
      ang = cos(smooth)+flip(sin(smooth))
      z = 256*ang
   ENDIF
   |zc| <= real(p3)
}

============ The PAR ================================================

Super_Spiral       { ; Copyright Ron Barnett Jan 1999 t=  0:00:55.15
                     ; On a Toshiba Pentium II at 320 x 200
                     ; www.hiddendimension.com rbarnett@telenet.net
  reset=1960 type=formula formulafile=multfrac.frm formulaname=multifract1
  passes=1
  center-mag=+0.41400401544852570/+0.53717306017061310/2290.142
  params=2/0/0/0/0/10 float=y maxiter=1024 inside=0 outside=atan
  periodicity=0
  colors=bR6<12>ra7tb8teCthH<14>NHF<15>gYThZUgYT<13>KHE<36>nk_<10>KLDHIBGH\
  C<8>CALB9MA8N97O86P75Q<2>88P99PAAOBBOBCN<3>EGLFIKGJL<38>ZnvZowYmu<9>NUWM\
  SUMSU<8>KONJNNJNMIMLIMKHLJ<19>NWUOWUOXVPYWPYV<8>RRKSRISQHSPFSOE<3>UM8VL6\
  WM6<4>aQ6
  }

Super_Spiral_2     { ; Copyright Ron Barnett Jan 1999 t=  0:01:05.74
                     ; On a Toshiba Pentium II at 320 x 200
                     ; www.hiddendimension.com rbarnett@telenet.net
  reset=1960 type=formula formulafile=multfrac.frm formulaname=multifract1
  passes=1
  center-mag=+0.41398941468292190/+0.53718183713837860/4617.222
  params=2/0/0/0/0/10 float=y maxiter=1024 inside=0 outside=atan
  periodicity=0
  colors=bR6<12>ra7tb8teCthH<14>NHF<15>gYThZUgYT<13>KHE<36>nk_<10>KLDHIBGH\
  C<8>CALB9MA8N97O86P75Q<2>88P99PAAOBBOBCN<3>EGLFIKGJL<38>ZnvZowYmu<9>NUWM\
  SUMSU<8>KONJNNJNMIMLIMKHLJ<19>NWUOWUOXVPYWPYV<8>RRKSRISQHSPFSOE<3>UM8VL6\
  WM6<4>aQ6
  }

Super_Spiral_3     { ; Copyright Ron Barnett Jan 1999 t=  0:01:32.22
                     ; On a Toshiba Pentium II at 320 x 200
                     ; www.hiddendimension.com rbarnett@telenet.net
  reset=1960 type=formula formulafile=multfrac.frm formulaname=multifract1
  passes=1
  center-mag=+0.41400389864240080/+0.53718321280519830/14611.46
  params=2/0/0/0/0/10 float=y maxiter=1024 inside=0 outside=atan
  periodicity=0
  colors=bR6<12>ra7tb8teCthH<14>NHF<15>gYThZUgYT<13>KHE<36>nk_<10>KLDHIBGH\
  C<8>CALB9MA8N97O86P75Q<2>88P99PAAOBBOBCN<3>EGLFIKGJL<38>ZnvZowYmu<9>NUWM\
  SUMSU<8>KONJNNJNMIMLIMKHLJ<19>NWUOWUOXVPYWPYV<8>RRKSRISQHSPFSOE<3>UM8VL6\
  WM6<4>aQ6
  }

Super_Spiral_4     { ; Copyright Ron Barnett Jan 1999 t=  0:03:48.11
                     ; On a Toshiba Pentium II at 320 x 200
                     ; www.hiddendimension.com rbarnett@telenet.net
  reset=1960 type=formula formulafile=multfrac.frm formulaname=multifract1
  passes=1
  center-mag=+0.41400389864240080/+0.53718321280519830/29458.59
  params=2/0/0/0/0/10 float=y maxiter=5000 inside=0 outside=atan
  periodicity=0
  colors=bR6<12>ra7tb8teCthH<14>NHF<15>gYThZUgYT<13>KHE<36>nk_<10>KLDHIBGH\
  C<8>CALB9MA8N97O86P75Q<2>88P99PAAOBBOBCN<3>EGLFIKGJL<38>ZnvZowYmu<9>NUWM\
  SUMSU<8>KONJNNJNMIMLIMKHLJ<19>NWUOWUOXVPYWPYV<8>RRKSRISQHSPFSOE<3>UM8VL6\
  WM6<4>aQ6
  }

Star_Spiral        { ; Copyright Ron Barnett Jan 1999 t=  0:02:36.92
                     ; www.hiddendimension.com rbarnett@telenet.net
                     ; On a Cyrix 6x86(P200+) at 320 x 200
  reset=1960 type=formula formulafile=multfrac.frm
  formulaname=multifract1 passes=1
  center-mag=-0.02129842959247609/+0.00777580703517566/18925.63
  params=0/2/2/0/10000/2 float=y maxiter=1024 inside=bof60
  outside=atan periodicity=0
  colors=bR6<12>ra7tb8teCthH<14>NHF<15>gYThZUgYT<13>KHE<36>nk_<10>KLDHIBGH\
  C<8>CALB9MA8N97O86P75Q<2>88P99PAAOBBOBCN<3>EGLFIKGJL<38>ZnvZowYmu<9>NUWM\
  SUMSU<8>KONJNNJNMIMLIMKHLJ<17>MVTNVTNWUOWUOXVPYW<9>RRKSRISQHSPFSOE<3>UM8\
  VL6WM6<4>aQ6
  }


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-------------------------------------------------------------------------------

From: "Leon Duych" <leon_d@email.msn.com>
Subject: Re: (fractint) Simply Elegant and a question
Date: 31 Jan 1999 14:04:32 -0800

I think they continue to exist...
They have existed, and always will exist, quite independently of being
perceived.

They exist ephemerally and imperfectly when perceived.
But they POTENTIALLY exist, perfectly! (always have, and always shall).
It's rather analogous to the existence of 'potential energy.'
One should argue in a similar manner for the independent existence of ALL
mathematical 'objects.'

My little thought for the day.

Leon Duych
leon_d@msn.com


-----Original Message-----


In a recent newsletter, I learned something interesting.

"That under orthodox Jewish law, the word "God" cannot be destroyed.
You can't, for example, throw away a piece of paper with the word
God on it--instead you have to ritually bury it or arrange for its
storage. The inevitable question arose over what to do when computers
are
involved: can you erase the word from a word processing document or from
some other digital form?

Last week, one of the leading orthodox rabbis, Rabbi Moshe Shaul Klein,
decided that it was OK to erase or delete digital versions of the word
"God," because they did not contain the actual word, but a composition
of 1s and 0s. If everything is binary underneath, the rabbi reasoned,
then even the word "God" is not actually G-o-d but a series of
numbers."--Alice Hill

Okay, so if everything is binary, including fractals, I guess that means
that they don't really exist. Just a bunch of 1's and 0's.  But we all
know that fractals exist, since we spend a lot of time creating them and
coloring them. :)  Now my questions is--when did fractals first exist?
With the invention of the computer, or did they exist but we were unable
to perceive them? Jim Muth asked where do fractals go when the power
fails. Do they continue to exist or is it really our power of perception
that is lost with the loss of electricity? If they exist only while on
the screen, are we guilty of murder every time we change screens?

Sorry about my rambling, but it has been too long since Jim has had a
good philosophical post. To make up for my rambling, here is a PAR.
Instead of seeking infinite detail and a fancy coloring algorithms, this
one is "Simply Elegant."

************************
Minimal            { ; ;
                     ; Dec 10, 1998 (c) Mary Tupper
                     ;   0:00:02.58 generation time at 320x
  reset=1960 type=mandel center-mag=0.0407306/0.873298/5.350562
  params=0/0 float=y maxiter=2 inside=startrail
  invert=0.4168904722619/0/0
colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\
OSSSWWW___ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zV\
z<3>zVV<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00\
S<3>S0S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2\
>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3\
>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG\
8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2\
>BGFBGGBFGBDGBCG0NkTTT0EqSSS03xRRR60tQQQ cyclerange=1/2
  }

--
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Windows 98   Pentium of Borg--”Prepare to be assimil-Gated”
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

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-------------------------------------------------------------------------------

From: JOAN <savo@lleida.com>
Subject: (fractint) Bifurcations
Date: 01 Feb 1999 00:24:42 +0100

I'm new in fractint mailing list. Excuse my english!
As teacher, I need work with bifurcations (logistic maps) but may
changing the parameters.
In differents .FRM collections not find neither.
Can you help me?
Thanks to any and all !

Joan Duran


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-------------------------------------------------------------------------------

From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) rebuild my site
Date: 31 Jan 1999 20:03:44 -0500

Hi All,

now that I have my own domain I rebuild my website, moved all files to fa=
st
servers
- I hope they are fast - and added some new material, errors included -
sorry about that.
Any comment is welcome.
Cheers --Jo--

http://www.joweber.de

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-------------------------------------------------------------------------------

From: wdecker@csc.com
Subject: (fractint) Visitor
Date: 31 Jan 1999 21:28:45 -0500

Every now and then I run across something that is anthropomorphic. This one
is better than most I've generated.

Someone is at the door.

Bill Decker

visitor            { ;  (c) Bill Decker Jan 31, 1999 t=  0:01:26.34
                     ;  on P150 800x600
  reset=1960 type=formula formulafile=0bill.frm
  formulaname=bills-rotate3 function=atanh/cotan/cosxx passes=1
  center-mag=-5.01377/0.0118335/1.114486/1/-90 params=2/3/-1/1/1/100
  potential=255/100/0
  colors=000nna<3>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGFUFFTF<27>11\
  1000000000<28>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>yiizjjzjjzkk<29>zzzzzzz\
  zy<23>nnb
  }

bills-rotate3 {
  a = real(p1), b = imag(p1)
  c = real(p2), d = imag(p2)
  e = real(p3), f = imag(p3)
  w = pixel
  x = pixel
  y = pixel
  z = pixel
  :
  w = fn1(x+y)^a + w
  x = fn2(y+w)^b + x
  y = fn3(w+x)^c + y
  z = (w^2 - (x^2) * (y^2))*d + z*e
  |z| < f
}



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-------------------------------------------------------------------------------

From: TEXART4U2@aol.com
Subject: (fractint) Can I load my customm color maps (.pal) in real time during color cycling?
Date: 01 Feb 1999 00:09:32 EST

I have been using ver 19.6 to color cycle color compositions. I edit the
palates to achieve a smooth or musical effect.  Some work better than others
of course. And then after composing various 256 color subroutines I want to
splice them together or learn how to load them so that they "play" without the
delay that occurs when I pause to load the new palate.  I have tried to edit a
custom text file, adding the text information from multiple subroutines, and
loading it, but only the first 256 colors load.  Any ideas on how to do this
in Fractint?

I also want to know if I can respecify key loaded color maps other than
"default" = Dkey.  IE: the number keys (1-9), the alt & shift + number keys.
I use the preprogrammed colors for studies, but my own palate tastes are
different.

I also want to know what "routine" or filename controls the randomization
colors from the enter key...Is this something that I could use to load a group
of my precreated files from memory so they would load instantly.

I have not been programming any source tools but I have a good eye toward
color
editing, and have been rewarded with the power of fractint for the past 3
years.

I would appreciate if if someone had suggestions or could point me toward some
tools that might help me to sequence my color compositions.

Thanks.

Tom Baggs
Texart4U2@AOL.com

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