January 13, 2012: Random Distribution | Jan. 12 | Jan. 15 | 2011 | FOTD Home |
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\
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EQCMIMUAWa2ehlZkn_fp`araXsbTu_CucOwdJyeE`rYdpVgnSj\
mPmkMqiJthGwfD2vJBsHKqGTnF`lDiiCrgBn9EpEDrJCtOCuSB\
wXByaAC9RNGNXNKfTGp_Dx83yE5yK6yP7zV8z`9qQLsTJtVHuX\
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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=========================================