;     Date: Tue, 04 Sep 2012 23:10:12 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 04-09-12 (Rectangle Toyland [9])
;       Id: <1.5.4.16.20120904231355.2b9ff15c@earthlink.net>
; ---------
; 
; FOTD -- September 04, 2012 (Rating 9)
; 
; Fractal visionaries and enthusiasts:
; 
; I'm back!  Let the fractal celebration begin!
; 
; I bring with me a rectangle.  Yes, it's the strange little 
; rectangle in the Z^(2.003)+C Julia sets.  Only today we do not 
; see the pure, unadulterated rectangle, we see the rectangle as 
; it appears when viewed slightly off-center in the imag(Z) 
; direction and rotated 2 degrees toward the Oblate orientation
; 
; >From this angle the rectangle cannot be described; it must be 
; seen.  To begin, it is no longer rectangular, though it does 
; retain four relatively well-defined sides.  And it is no longer 
; empty, but filled in its upper part with chaotic debris.  The 
; outer parts surrounding the rectangle are no longer unbroken.  
; They have begun to stretch out and break up as part of the main 
; bay of the nearby Mandelbrot minibrot comes into view.
; 
; The result rates a 9, most of which is due to the random 
; coloring feature of Fractint.  My part involved nothing more 
; than a minor tweaking of a few color registers.
; 
; The name "Rectangle Toyland" came about when shut off my 
; thinking apparatus, a thing I do often.  The calculation time of 
; 1-5/6 minutes will pass swiftly once a recognizable part of the 
; image appears on the screen.
; 
; To see the finished image without the task of calculating it, 
; surf over to the official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; And check the high definition rendering at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The back images are posted on the venerable FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; High humidity and lots of clouds left much to be desired here at 
; Fractal Central today.  Occasional periods of rain kept things 
; wet.  The temperature of 84F 29C felt much warmer due to the 
; humidity.  The fractal cats passed the day keeping watch over 
; the local pigeons, while the humans spent the day clearing a 
; minor work backup.  The next FOTD will be another venture into 
; rectangle land, and will be posted in about 24 hours, (with no 
; guarantee given or implied).  Until next time, take care, and 
; intelligent people realize there are no such things as ghosts.  
; Too bad the ghosts have not heard the news.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Rectangle_Toyland { ; time=0:01:50.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1 inside=0
  center-mag=0/0/100 params=88/0/90/0/-1.7435/0.0001\
  /0.000175/0.073883/2.003/0 float=y maxiter=3600
  logmap=-54 periodicity=6
  colors=000YQwYQwWRuURtSRsRSrPSqNSpMToKTnITmHUlFUkD\
  UjCUiBReAOa9MY8JU7HR6EN5BJ49F36B34855B76D97GB8ID8L\
  F9NHAQJBSLBVNCXPD_REaTEcVFaXG_YHZ_HX`IWbJUcKTeKRfL\
  QhMOiNNkNLlOKnPIoPHnQKnRNnSQmSTmTWmUZmValVclWflXil\
  YlkYokZrk_uk_wjcsifohjkgmgfqcft`ip_lm_niZqfZsbYv_Y\
  xXYuYWrZUoZSm_Qj`Og`MeaKbbI_bGXcEVdCSdAPe8Ne6SiBXm\
  G`pKetPiwTfxZdxdbxj`xpZxu_wt_ws`wr`vqavpavobuobunc\
  umctldtkdtjdtjaqhZngWkeTidQfcNcaKa`HZZEWYknzjnzjnz\
  jnzinzinzhnzhnzhnzgnzgnzgnzfnzfnzenzenzenzdnzdnzcn\
  zcnzcnzbnzbnzbnzanzaoz`oz`oz`oz_oz_ozcozcozcozcozc\
  ozcozcozcozcozcozcozcozcozcozcozcozmozmozmozmozmoz\
  mpzmqzmrzmszmtzmuzmvzmwzmxzmyzmzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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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