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January 13, 2012: Random Distribution Jan. 12 Jan. 15 2011 FOTD Home
  Rating 6

random

Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal created when 4 negative parts of Z^(-1.7) are combined with 0.7 negative parts of Z^(-7.4) and (1/C) is added on each iteration.  This parent is one of those interesting but indescribable things created by expressions of today's type.

When I saw the final result of all my minor effort, I rated it at a 6 and named it "Random Distribution".  I found nothing in it to deserve a higher rating.  The name has little to do with the image.  At least on the surface, quite a few fractals appear random.

The calculation time of a brief 45 seconds will bring impatience to no one, even if they find almost nothing in it.

Dark clouds, heavy snow showers, brisk winds and a temperature of 27C -3C kept the fractal cats curled up in the warmest places they could find here at Fractal Central today.  The humans kept warm working.  FL kept supplying chicken soup for the sore throat I came down with a couple days ago, while I thought about sweeping the 2cm or so of snow from the sidewalk.

The next FOTD will be posted in 24 hours.  That is unless something else comes up first.  Until whenever, take care, and if my unique self-awareness were copied into ten identical androids, which one would I actually find myself in?  Or would I be in ten different places at the same time.  In my opinion, this is a paradox, and paradoxes usually indicate that a wrong assumption has been made.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

RandomDistribution { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=+0.5801854523245313/-1.317202052571417/\
  245016/1/-32.5/0 params=-4/-1.7/-0.7/-7.4/0/0/0/0
  maxiter=1200 inside=0 logmap=66 periodicity=6
  colors=00000O00Q00Z01U02_03Y04a05a06d07e28h09i4Ak0\
  Bm6Cm0Dk8Eh0FdAGc1HYFHY8JXKIZKJ`PJaVJc`JeeJfiNZlQS\
  oTKrWDuZ6vb8vfAvjBvnDvrEvvGvzHlwLktOfrR`oUWlXRj_Tk\
  TVkMXlGZl9_l3Vj4Rh5Ng6Je7Fd7NeOUecTgaSi_RjXRlVQnTP\
  pROrPOsNWgRcWUkKYr8`oAZlCXjEWgGUeISbJR_LPYNNVPMTRK\
  QTIOUHV_JaeMhkOoqRvwTrsRnoPjkNfgLbdJaXI`PH_HGZ9FZ2\
  EQCMIMUAWa2ehlZkn_fp`araXsbTu_CucOwdJyeE`rYdpVgnSj\
  mPmkMqiJthGwfD2vJBsHKqGTnF`lDiiCrgBn9EpEDrJCtOCuSB\
  wXByaAC9RNGNXNKfTGp_Dx83yE5yK6yP7zV8z`9qQLsTJtVHuX\
  Gw_ExaDycBgkYcd3ge5ke6oe7se8we9WyEfrCpkBmL8tZHu_Gv\
  `FwaEwbDxcCydBzeAgNyqX_t6cuCZvIUSBuVAtXAs`ItcPufWv\
  ibwlixopxrintbdwWVyQLZXV9bdBdaDe_EgYGhVIjTJkRLmPNn\
  MOpKQqIRrGeqYsporlkqhhpdeo`bnX_zmzzmzzmzzmzzmzzmzz\
  mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzfzzgzzgzzgzggzghzghz\
  fhzfhzfizfizfizfizZmzRqzJuzCxzEkzFZzGMzPSzXYzdczlh\
  zkizkjzjjzjkzilzilztGzrBz }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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