;     Date: Mon, 03 Aug 2009 16:48:34 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 04-08-09 (What Numbers Do [8])
;       Id: <1.5.4.16.20090803165037.2bd7f6ca@pop.mindspring.com>
; ---------
; 
; FOTD -- August 04, 2009 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's skeletal scene returns us to yesterday's image, but have 
; no fear.  It is far from a boring repeat.  The image is actually 
; a modest blow-up of a scene in the 'tree' at the eastern edge of 
; yesterday's image.
; 
; I named the image "What Numbers Do".  While studying it, I began 
; wondering how mere abstract numbers could possibly create such a 
; scene.  But that's what makes a fractal a fractal.
; 
; The image rates an eight.  I gave it this rating because I think 
; it deserves such a rating.
; 
; The calculation time of just over four minutes may be reduced to 
; almost nothing by surfing out to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; and viewing the finished image posted there.
; 
; A near perfect day passed un-noticed here at Fractal Central on 
; Monday.  The temperature of 82F 28C was made even more enjoyable 
; by the lower humidity, while the electronically-intensified blue 
; skies and puffy cumulus clouds lent a perfect backdrop to any 
; outdoor activity.  But my day was spent indoors, and the fractal 
; cats seemed more interested in the worn-out catnip rat than the 
; sunny window.
; 
; The next FOTD will be posted in 24 hours.  Until then, take 
; care, and is it an oxymoron to have faith in science?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

What_Numbers_Do { ; time=0:04:16.01-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideJulibrot passes=1
  center-mag=+5.51760082/0/345/1/-90/0
  params=89.98/0/89.98/0/-0.77/0/0/0/1.05/1.5 float=y
  maxiter=750 inside=0 logmap=370 periodicity=10
  colors=000zzzmvzUpznjzUqzihzUdzrazUZzm_zI6IJ8JKAKL\
  CLMEMNGNOIOPKPQMQRORSQSTSTzUUzZZzcczhhzmmzzzzzzzzz\
  zmmmmmcccUUUPRoMDUBIBJHARH9ZG8c32eA5fG7hNAmR0kS6iT\
  CkQ9mNCmQFmTImWLmZOmaRrdUre_rgbqddpb`q`YrYUtWQwUNz\
  RLzOJzLHzIFzFDzDBzHPzLazOnzHZzAKzF5zF8zKAzQDzWFzaH\
  zgKzmMzmOzmZzmZzmdzmazmZzmXzhLzcKzZKzeKzbJz`IzZHza\
  OzcVze`zhgzjnzltzfqzanzWkzRhzLezGbzB`zNkzYvzWizVYz\
  MOzDFvPIr_KmVRZQYcLdZOgUQjPSlKUoMWlNRfON`PIVQEQK9U\
  O5YS1bb0fl0zeDz_PzT`zNlzrzzjwzeszUqzPmzQkzN`zKRzHG\
  uF6pJ9kNCkQEpUHuXJz2oz9izFczFpzFjzFdzFZzFTzFOzJSzM\
  UzPYzT`zcmzcmzcmzcmzcmzcmzObzLdzJez5szBlzHfzN_zTUz\
  ZNzcHz`JzYLzVNzSPzhazaYzWVzQRzJOzDKz1Bz7HzDMzJRzPW\
  zVaz`fzfkzf8zkpzgozcnz_mzWlzSkzOjzHlzKjzMhzPfzRdzT\
  bzW`zYZzScz_XzXazVezTjzRnzOMzOPzORzOUzJ1zLCzMMzOWz\
  PezKyzNtzQozTkzWfzZbzaYzYYz`WzbVzdUztRzoSzjTzfTzaU\
  zXVzTVzOWz70zCBzGMzKWzOfz }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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), aa=-(real(p5)-2),
  bb=(imag(p5)+0.00000000000000000000001),
  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)/(z^(aa)+bb)+c
  |z|< 1000000 }

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