;     Date: Tue, 11 Sep 2012 13:51:01 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 11-09-12 (Gateway to the Future [8])
;       Id: <1.5.4.16.20120911135448.2a071302@earthlink.net>
; ---------
; 
; FOTD -- September 11, 2012 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image shows our strange rectangle at an angle in the 
; fourth dimension impossible to imagine.  All I can say about the 
; angle of the slice is that it is closest to the Rectangular 
; orientation.  At this strange angle, the rectangle is no longer 
; rectangular.  It has stretched into a tall trapezoid with what 
; resembles a marshy pathway leading up to it.
; 
; I named the image "Gateway to the Future", leaving it to the 
; viewer to decide what might lie beyond.  It might be total 
; technological breakdown followed by a collapse of civilization, 
; or it might be the elimination of military weapons and the 
; coming together of all the peoples of earth into one peaceful 
; and harmonious family.  But to me it remains a mystery.
; 
; Even though today's image shows just another aspect of the same 
; rectangle and uses the same color palette, it is a very unique 
; aspect, well worth the rating of an 8 that I have given it.
; 
; The calculation time of 3-1/2 minutes is a fair price to pay for 
; the image.  Bargain hunters may save some time by checking one 
; of the web sites.
; 
; The basic finished image is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; Fancier hi-def renderings are online at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The back images are available at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Another early hint of Autumn made itself felt here at Fractal 
; Central today, when the sun rose with the temperature at 48F 
; +9C.  The rest of the day brought sun with only a few wispy 
; clouds and a temperature of 75F 24C.
; 
; To the humans, it appeared that the fractal cats spent the day 
; considering the coming winter.  The cats more likely spent the 
; day considering getting an extra treat.  The next FOTD will be 
; posted when the proper time has passed.  Until then, take care, 
; be happy with your fractals, and don't worry about what might 
; lie beyond the gateway.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

GatewayToTheFuture { ; time=0:03:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=+0.000000688\
  48264664/+0.00213981581517682/111.3773/58.786/180
  params=82/85/0/90/-1.7435/0/0.000175/0.073883/\
  2.003/0 float=y maxiter=54000 inside=0 logmap=68
  periodicity=6
  colors=000KGiKIkKKmKMoIOqGPsEQuBQwDRvERuGSuHStJTuK\
  TvLTwNUxOUyQVzRVzSVzUWzVWzXXzYXz_Yz`YzaYzc_zd`zfbz\
  gcziezhezhdzgbzgazg_zfZzfZzeXzeWzeVzdUzdSzdRzcRzcQ\
  zbPzbQzbSzaUzaWzaYxc_ve`tgaribpkcnmdmjehgfdeg_bhW`\
  iSYjN_kJblEemAho6kqMnsaquVtwPwyJzzDwwKtuQqsknqWkoi\
  hmwekubis_gqXeo_crRanI_k9`g0if1gd1eb2d`2bZ3aY3_W4Z\
  U4XS5VQ5UP6SN6RL7PJ9RH7SI6NJ4JK0EL3KL5QL7QL9RLBRLD\
  SLFSLHTLJULIVKHWJGZIFaHEdGEgFFfIGfKHfMHeOIeQJeSJeU\
  KdXLdZLd`MdbNcdNcfOchPbkPbmQboRbqRasSauTawTayDczCc\
  zCczCczCczBczBczBczBczAczmZzmZzmZzmZzmZzmZzmZzmZzm\
  ZzmZzmYzmXzmWzmVzmUzmUzhPNkPOnPPpPPmOMmOKmNImNFmMD\
  mMBmL8mL6mK4mK2mJ6mI9mHDmGGmFKmENmERmDUmCYmB`mAdm9\
  gm6km9jmBimDimGhmIhzKgzMgzPfzRfzTezVezYdz_czaczdbz\
  fbzhazjazm`zo`zq_zuZzs_zq_zo`zn`zl`zjaziazgbzebzdb\
  zbcz`czZdzYdzWdzUezTezRfzPfzSfzRgzQizPjzNkzMmzLnzK\
  ozIqzHrzGszDsK8aKAcKCeKEg }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

; END PARAMETER FILE=========================================
; 
; 
; 
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