Fractal of the Day
by Jim Muth

Incomprehensible-2 ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- April 29, 2008   (Rating Indeterminate)

Fractal visionaries and enthusiasts:

Maybe I'm just imagining it, but things seem to be getting a bit dull on the two fractal lists lately.   Whatever happened to the controversial fractal philosophy?   Maybe it's time for someone to start the philosophical ball rolling.   If I do wax philosophical, science, religion, new-ageism, paranormalism and philosophy of all kinds will all be fair game.

But today, the much more conservative discussion is about fractals.   To create today's image I increased the portion of Z^sqrt(2) in yesterday's parent fractal to 1.5 parts, which greatly increases the fractal's size.   Then I checked to see what was happening far out on the positive X-axis.   What I found is revealed in today's image.

I named today's fractal "Incomprehensible-2", though I can not comprehend why I did so.   The image seemed to have no definite value, so I gave it an indeterminate rating, which, like dividing zero by zero, is equal to anything the viewer wants it to be.

The calculation time of 3-1/4 minutes, while not the shortest of all time, is much better than yesterday's time.   And as always, the finished image is posted to the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
where it may be viewed instantly and at leisure.

Clouds and rain describe the day Monday here at Fractal Central.   The chilly temperature of 52F 11C was of no help.   The fractal cats, disgusted by the miserable outside conditions, spent most of the day sleeping and playing with their fresh catnip rat.

My day was average.   Tomorrow will likely be similar.   The next FOTD will appear in 24 hours.   Until then, take care, and some believe that the universe was intelligently designed to support life.   Others believe that the evolution of life is an extremely lucky but perfectly natural accident.   I believe that both sides are half right.   But of course, I have no proof.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Incomprehensible-2 { ; time=0:03:14.86-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  params=1.5/1.414/-0.8/1.732/0/525/0/0 maxiter=32767
  center-mag=+11.13581279223/-0.03806984753/9489579/\
  1/144/0 float=y inside=0 logmap=144 periodicity=10
  colors=000UUkUUiUUhUUfUUeUUcUUcUUaUV`UXZUZYU_XW`VY\
  aU_bT`bSbcRddPeeOgeNifMjgLlhJnhIoiHqjGskFtmEuoSvqe\
  wsaccc000000zUQzRNzOKzKHxHEvDBwA8v75r87o89k8Ah8Cd9\
  Ea9FY9HV9JR9KOAFKAAHAADAAAAACDADFAEIAFKAHMFIPKJROK\
  TNMWMNYMO`LPbLRdKSgKTiJUkJSnKQqLOtMNsPMsRLrTLrVKqX\
  JqZJp`IpbHodGofGnhFnjEmlEmn7X`0HN4IR8JVCKZGLbKMfON\
  cRNYQLUQKQPIOPHM84K93KA3KA2KB1KC0KC0Ki5ek8dlBdmDcn\
  GcoJbpLbqOasRatT`uW`vZ_w`_xcZyfZzhZz`czThzLmzDrHBx\
  JMwKXwLgwKtzMqwNntOkqPhoQelRbiS_fTXdUUaVUzWUzXUzYU\
  zZUz_Xze_z`bzWezRhzMkzHnzCqz7tz0wz3zz6zz9zzCzzEzzH\
  zzKzzNzzQzzNzzSzzXzzazzdzzfzzgzzhzzizXjzTpzNkzPfzR\
  azTYzVTzXOzZKz`FzbAzdxzv6zfMzc`zaazdbzfczhdzjdzlez\
  nfzpgzrjzvgztdzsazqZzpXznUzmRzkOzjMziLzkMzhNzeNzbO\
  z`PzYPzVQzSRzQRzNSzKTzHTzFUzCVz9Vz7Xz9ZzB`zCbzEdzF\
  fzHhzJjzKlzMnzNlzOkzOizPhzPgzQezQdzRbzRazS`zSZzTYz\
  TXzTRzWMzZHzaCzd7zg0z0kzk }

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=========================================


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