;     Date: Tue, 05 Sep 2006 22:49:32 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 06-09-06 (Julibrot View [8])
;       Id: <1.5.4.16.20060905225027.0e5f7bca@pop.mindspring.com>
; ---------
; 
; FOTD -- September 06, 2006 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's final visit to Seahorse Valley is a bit overwhelming, 
; showing both the familiar Julia set and Seahorse Valley itself 
; in the same image.  The outer shell of the fractal is the Julia 
; set of Seahorse Valley, while the interior stuff is the valley 
; itself, grossly enlarged and seen from an angle which is double-
; rotated less than 1 degree from the Julia direction.  The two 
; branches of Seahorse Valley can be plainly seen converging on 
; the center of the image.
; 
; Don't try to visualize how it can be this way.  It's the path 
; to mental congestion.  Even a four-dimensional student studying 
; four-dimensional geometry would have trouble with it.  The 
; enlarged and distorted view of the valley involves hyperangles 
; with two independent arc measurements between planes that inter-
; sect in a single point.  It's hard enough to visualize a hyper-
; sphere, much less the whole convoluted Julibrot.
; 
; I rated the image at an 8.  In my opinion, it's worth it.  The 
; colors were pretty much a happy accident, but being the creating 
; fractalist, I can take any credit.  (As well as some occasional 
; blame.)
; 
; The name "Julibrot View" is a simple description.  The render 
; time of 28 minutes with passes=t may be cut in half by calculat-
; ing the parameter file with passes=g, but the price is the loss 
; of some detail.  The passes=b option finishes in 1 second, but 
; misses the entire image.  The passes=1 option captures every 
; last speck of detail, but takes over an hour to do it.
; 
; The passes=t version has been posted to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; from where it may be conveniently downloaded.
; 
; Heavy clouds and occasional light rain did not concern the new 
; fractal cats, who glanced out the window once or twice between 
; bouts of play.  When they finished their evening treats of tuna 
; and cheese, I told them that they will soon be world famous with 
; their pictures posted on the FOTD web site.  They continued to 
; wash their faces.
; 
; With the work still up to date, I was not concerned either.  But 
; the potential still exists for a rush job to come in around 
; Thursday.  The next FOTD will appear in 24 hours, and will take 
; us to East Valley to check the elephants that live there.  Until 
; then, take care, and be fondly optimistic.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Julibrot_View { ; time=0:27:58.47--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=SliceJulibrot2 center-mag=0/0/0.85918
  params=90.642/90.608/90.945/90.346/-0.75/0/0/0
  float=y maxiter=100000 inside=0 passes=t
  logmap=yes periodicity=10
  colors=00057h67f77d87b97`A7ZB7YC7XDCWFHXGMYGRaGWeG\
  _hGdlGhoIgpJfqKeqLerLdrLcsMcsMbtMauNauN`vN_vO_wOZw\
  OYxOYxR_vTauVbsXdrZfqagocinejmglkinjlohnqgpsfrtdtv\
  cvwbrrdnnfjjhffibbk_YmWUoSQpOMrKItHEuYFenGQ_OVLV_O\
  T`RR`UP`XOa_MabKaeJahHbkFbnDbqCctAcw8cx7cvBfsFipIk\
  mMnjQqgTshRphPnhOlhMjiLgiJeiIciGajFZjDXjCVjATj9RhA\
  PfAOdBMcBLaCK_CIZCHXDGVDETEDSECQFAOF9NF8PJCRMGTPKV\
  SOXVSZYW``_bccdfgfikhlojoslrwnuzowzqvzruzstztrzupz\
  vozwmztkzrhypdxn`vlXtiUsgQqeMocJnaFl_CkaIibNhcSfdX\
  efbcggbhl`iq_jvZcqXYlUSgSUcTV`UWYVYVWZSX_PX`MYbJZc\
  G_dD`eA`USjJhsNgmRfhVebZdYbcTfbNjaInaDYcLIeTLhRNjP\
  QjNSjLVjKXjI_lGapEctD_rJWqPTpVPo`LnfImkKkiMihOgfQe\
  eSccUabW_`YY__WYmLOaUXcSVeQUgOSiMRkKPkzqlznlwllsjl\
  phllflidlfbmb_m_YmWWmTUmPSmMQxb_xYXwTUrORdHxfIrgIm\
  hIhjJbkJYlJT9ofUmX`lUbhZcecebhfZmhWriTwkPzlMzqzzpx\
  zoqzojzncznXzmQzSmzIezH`z }

frm:SliceJulibrot2   {; draws most 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

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