From: fractint-owner@xmission.com (fractint Digest) To: fractint-digest@xmission.com Subject: fractint Digest V1 #26 Reply-To: fractint@xmission.com Sender: fractint-owner@xmission.com Errors-To: fractint-owner@xmission.com Precedence: fractint Digest Thursday, October 9 1997 Volume 01 : Number 026 In this issue: Re: (fractint) Remove Int math ? (fractint) Administrator out of town Re: (fractint) Real-vs-Integer (fractint) (Fwd) BOUNCE fractint@xmission.com: Non-member submission f (fractint) Conformal Mappings and Beautiful Mandelbrots (fractint) Re: Re: (fractint) Real-vs-Integer (fractint) DOS Versions of Fractint (fractint) TYPE=JULIBROT See the end of the digest for information on subscribing to the fractint or fractint-digest mailing lists and on how to retrieve back issues. ---------------------------------------------------------------------- Date: Wed, 8 Oct 1997 20:27:17 -0500 From: newstedclan@juno.com Subject: Re: (fractint) Remove Int math ? Hey Thierry. I checked out your fractal you sent out. It "was" different in FP! I also used Bio-morph (256) and it looked pretty cool. I'm not sure what you mean by posting the parameters, maybe you could explain it or send an example. Anyway, thanks for trying the one I sent out. Here is another: Egg (xaxis) { ; M.L. Newsted Jr. z = 0 c = pixel d = pixel: z = (z*z + c) / d } Well, see ya. Hey What's the weather like in Toulouse? "...God is in the details..." Linus C. Pauling Nuke On Wed, 8 Oct 1997 15:10:49 -0400 Thierry Boudet <101355.2112@compuserve.com> writes: > Hello World. > > >I'm using Fractint 19.6 on a 486dx33/CGA. I have make a few >tests on my configuration. In general, float is faster or >equal than integer, but there was differences between the >two modes. Recently M.L. Newsted Jr. have posted a little >formula who behave differently in int or in float. > >And I'm working on a long term project with this formula : > >----------------------------------------------------------- >frm:rand_generic { ; **** PARAMETER 1 MUST BE > 0 **** > ; Thierry Boudet 101355.2112ompuserve.com > ; 19 Juillet 1997 > z = rand: > z = fn1(z) + fn2(pixel); > |z| <= real(p1) > } >----------------------------------------------------------- > >who works very fine (for me :-) in integer mode, but is >completly broken in float mode... > >Here is a sample parameter. Try it in real and integer >mode, and play with the formula. rand seems broken in >float mode. > >----------------------------------------------------------- >demo_of_rand_bug { ; created Oct 08, 1997 in Toulouse > reset=1960 type=formula > formulaname=rand_generic function=recip/sqr passes=1 > center-mag=0.0260181/0.0209436/0.5956599 params=6/0 > inside=zmag outside=real biomorph=64 > } >----------------------------------------------------------- > >May be with only one math mode in Fractint, this type of >problems will go in a "bug-eater-black-hole" ... > > > Best regards from Toulouse, France. > > Thierry Boudet. > > > > >------------------------------------------------------------ >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@xmission.com >Get Commands: majordomo@xmission.com "help" >Administrator: twegner@phoenix.net >Unsubscribe: majordomo@xmission.com "unsubscribe fractint" > - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 8 Oct 1997 22:48:15 -0600 From: "Tim Wegner" Subject: (fractint) Administrator out of town Yeah I know I said list administration issues were off topic, but here I go violating my own suggestion Actually I overstated the case, there probably are some list administration messages of general interest that would be on topic. Hmm ... if all list administration messages are off topic, then a message stating that as the policy would be off topic I'll be out of town until Sunday. The list can go on merrily as always, I'm just alerting you all in case anyone needs any special list administration services. I won't be able to help with any special requests until Sunday. Just a reminder, this list only accepts postings from addresses that majordomo recognizes as a fractint list subscriber. Sometimes postings bounce because folks have posted from a different account, or from some reason the return address is different than the subscribed email address. For isolated cases I usually just post such bounced messages by hand, so you may not have noticed. When I'm really on the ball I also let folks know it happened, especially if it happens several times. This is not a big problem for most people, although it was bothersome for a couple of folks who have "anti-spam" return addresses. Tim - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 8 Oct 1997 17:13:55 -0700 From: "Jay Hill" Subject: Re: (fractint) Real-vs-Integer Nuke wrote: >Did anyone try my deranged m-set NukerBrot? I did and here is my reply, second try, first one is lost in bitspace. :-( There is a one to one mapping of the regular Mset to this view. Everything is there, just jammed into a different space. Jay 10/7/97 Newsted wrote about his nuke formula. I played with that some years ago. It is simpler to do this: frm:Nuke2 (xaxis) { ; Jay Hill z = 0, c = pixel: ; basic mandel up to here z = (z*z/c + 1) ; insideout eye shaped MSet } nuke2_view { ; Jay Hill reset=1960 type=formula formulafile=nuke2.frm formulaname=Nuke2 center-mag=1.34919/5.96e-006/0.4962412 colors=0D0000<15>9Tx<22>36Q25P24N13M12K00I<15>001000000<2>800B00F10<4>T3\ 0W40Z50a60c70<2>jB0lC0mD0oE0<2>tJ0vK0wM0xN0<4>zV0zW0yT0<2>sJ0qF0nE0mE0<6\ >T50Q30O30<3>E10C00B00<10>100000100200<5>B0AD0CE0F<20>k0w<7>N0QK0MJ0L<17\ >401000<2>010020040<26>0d00f00e0<23>0B0090080060050030020000000 } - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 8 Oct 1997 22:48:15 -0600 From: "Tim Wegner" Subject: (fractint) (Fwd) BOUNCE fractint@xmission.com: Non-member submission f From: "Jay Hill" To: fractint@mail.xmission.com Date: Wed, 8 Oct 1997 14:53:32 -0700 Subject: Re: (fractint) MFC vs. OWL I was shocked to learn a few months ago that Microsoft C++ does not support 80bit long double floats! I asked on the C++ newsgroup and it was confirmed. So why would Fractint move to the current VC++ and take a hit like that? What is the corresponding support from Borland C++ 5.0x Borland C++Builder? Watcom C++? DJGPP compiler? Jay - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 9 Oct 1997 00:40:16 -0400 (EDT) From: ao950@freenet.carleton.ca (Paul Derbyshire) Subject: (fractint) Conformal Mappings and Beautiful Mandelbrots Ever noticed a sort of beauty and symmetry to mandelbrots and fractals from complex number formulas lacking in real-real formulas like some of the ones in The beauty Of Fractals? My suspicion has been it is because complex mappings are conformal: right angles are preserved. For instance, look at the square of (a+bi). The real part is a^2-b^2, the imaginary part 2ab. These equations both describe hyperbolas; the families of hyperbolas defined setting x^2-y^2 const and 2xy const are orthogonal families, they cross at right angles. An idea of mine has been this: Start with an implicit differential equation. dy/dx=f(x,y). Solve it. (Yes this can be tough.) Then solve the inverse dy/dx=-1/f(x,y). Their solution sets will be orthogoanl families of curves. Or, get a function such as f(x,y)=const. Get dy/dx. Negate and invert and solve the differential equation as before to get a curve family g(x,y)=const orthogonal to the curves f(x,y)=const. Now imagine defining a map from R2 (real by real cartesian plane) to R2 by x'=f(x,y), y'=g(x,y). This is a conformal map. A combination of several such conformal maps and adding a paremeter or three might produce worthwhile Julia/Mandelbrot sets. For example, take the ellipses x^2+2y^2=const. 2x=-4y(dy/dx) so dy/dx is - -x/2y. Put dy/dx=2y/x =-1/(-x/2y). This is separable: dy/2y = dx/x. Integrate both sides: 1/2ln |y| = ln |x| + C or, taking exponentials of both sides, root y = xe^c or y=Kx^2, a family of parabolas. So the mappings would be: x'=x^2+2y^2, y'=y/x^2 (solving for K=y'). Try them out I'd love to hear the results. - -- .*. Where feelings are concerned, answers are rarely simple [GeneDeWeese] -() < When I go to the theater, I always go straight to the "bag and mix" `*' bulk candy section...because variety is the spice of life... [me] Paul Derbyshire ao950@freenet.carleton.ca, http://chat.carleton.ca/~pderbysh - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 8 Oct 1997 20:15:42 -1000 From: "Shauna Jones" Subject: (fractint) Re: On 7 Oct 97 at 16:33, newstedclan@juno.com spoke about : > It seems that ediingt formulas and such could be done alot easier and > faster using pop-up windows for entering new information. Agreed ... > Plus, I wouldn't have to close fractint and edit my formula (simple > as they are) and re-open fractint, select display, type etc... I > could just leave Fractint open and maximize, edit,minimize, then > try my changes. This would be great for us who use trial and error > more than mathematical planning. I don't have that problem. Of course, I use OS/2 ... Whatever revisions happen to Fractint, I hope it will still run in a DOS session under OS/2. Another blast of bits from David Visit our boring web page: http://www.aloha.net/~shauna Visit the Hawaii Astronomical Society: http://www.hawastsoc.org For the best Hawaii & Pacific Basin surf forecast: mailto:hisurf@aloha.net Random Thought for this Nanosecond If at first you don't succeed, then skydiving isn't for you. - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 08 Oct 1997 18:44:28 -0500 From: Justin Kolodziej <4wg7kolodzie@vms.csd.mu.edu> Subject: Re: (fractint) Real-vs-Integer >I don't have the time, >or >recall my complex math well enought to figure it out, but the Nuke may >be >arithmetically the same as the inverted Mandelbrot. Maybe someone >else >will let us know. > >-- >Mike Traynor I worked on the formula a bit, and came up with the following: z(n+1)=(z*z)/c + 1 or, if you substitute 1/c for c, z(n+1)=c*z*z + 1 This last formula is the same (I hope) as inverting the original by a circle centered on (0,0) with radius 1. The resulting picture looks like the M-set, but why would that be? Any Ideas? Justin Kolodziej "I only use Windows because: 1. Solaris doesn't run on PCs :( 2. I can't afford a Sun and I'd have to buy a server AND a workstation :( :( 3. When's the last time YOU saw an X-Windows app in your local computer store? ;) " - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 9 Oct 1997 22:34:38 +0000 From: "Ethel MacKay" Subject: (fractint) DOS Versions of Fractint We are new to the Fractint mailing list and although we do not understand most of what you have been talking about, because we don't write fractal formulas and such, we just wanted to put our two bits in about whether Fractint should continue in DOS versions in future. We say yes, continue to ALWAYS make DOS versions! There are probably many people like us that prefer the simplicity of DOS Fractint versions over Windows or who don't have pcs that are up to running resource hungry Windows versions. My 64 year old husband is the main Fractint user here. I taught him to use the computer and run Fractint when he read Chaos theory and got interested in the Mandlebrot Set. He started with version 17.1 and now has version 19.6. He tried the Windows Version and he hated it. The Windows themselves kept distracting him and he soon went back to the DOS version. We started running fractals on a 386 and now have a Pentium 133 with lots of memory. To summarise: DOS programs in the case of Fractint (and Povray) are much easier to use for people who are not all that happy about using computers but use them only because there are programs like Fractint (and Povray) for DOS which they get great enjoyment from. Regards to all, Ethel MacKay - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 09 Oct 1997 17:07:56 +0200 From: guy.marson@mnhn.lu (Guy Marson) Subject: (fractint) TYPE=JULIBROT - --=====================_876434876==_ Content-Type: text/plain; charset="us-ascii" Hi, In the Fractint Wish-list Justin Kolodziej asket for "no more integer math"... The poorly known TYPE=JULIBROT fractals are able to build beautiful 3d stereo-pairs, but only in integer-math. Setting the FPU=ON, causes flat 2d fractals (except for those orbits wich use functions like sin, cos, tan and cotan). To give you an idea, I attachet a .par file to this mail.. Sorry, but all the Julibrots are very slow-running even on a P200! To see the difference, switch on and of the FPU with the letter . If you like to see the fractals 3-dimensional, the stereo-pairs and/or the 2x3 and 5x5 pairs must be fused like the "magic-eye" pictures that means, with the eyes in parallel or, if indicated, with the eyes crossed, that means: the left eye is looking to the right side and the rigth eye is looking to the left side.. be patient, it mostly works after a while 8~( - :) To build some "parallel-eyes" 3d fractals, the "Z" screen option must be negative, a positive number for builds "crossed-eyes" 3d fractals.. So please Stone-Soupers keep up the option: FPU ON/OFF.. even if the difference (in the JULIBROTS: FPU ON/OFF) results in a programming fault do not correct this "fault" thanks in advance! enjoy experimenting with the JULIBROTS.. ;) Guy - --=====================_876434876==_ Content-Type: application/mac-binhex40; name="3D-TOTAL.PAR" Content-Disposition: attachment; filename="3D-TOTAL.PAR" (This file must be converted with BinHex 4.0) :$$0%,9429%&-,P""8J"849K8G(4iG!!!!!"@'!!!!!#,[$0N,A"KDA)J)#!J)#! 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