Fractal of the Day
by Jim Muth

Star of Infinity ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- March 30, 2009   (Rating 8)

Fractal visionaries and enthusiasts:

Space goes on forever, which is unimaginable, or it comes to an end, which is equally unimaginable.   Or it might curve back on itself and close up like the surface of the earth, which is also unimaginable.   And I hear that space might actually open up, so that there is more of it out there than we can imagine.   Whatever might be the actual state of affairs, of one thing we can be sure -- the truth lies beyond our feeble powers of imagination.   So let's concentrate on something even less imaginable -- the totality of all possible fractals.

Today's fractal image is but one of an infinity, though I'm not sure which infinity.   Some infinities are infinitely greater than others.   Actually, the image is a scene in the parent fractal that results when a tiny portion of Z is subtracted from an even tinier portion of Z100.

This parent fractal appears as a circle with a Mandeloid thing attached to its east perimeter and some flowery debris on its west side.   Today's scene is located in the detail near the north shore of the Mandeloid thing.

I named the image "Star of Infinity" and rated it at an 8.   I see several nested 8-pointed stars in the scene.   The calculation time of 4-3/4 minutes is not quite as fast as I would like, but still plenty fast enough for a S.O.T.A. unit to handle before boredom arises.   And as always, the finished image is or soon will be posted on the FOTD web site at:for immediate perusal and gratification.

The mild weather on Sunday here at Fractal Central was compromised by heavy clouds and occasional showers of rain.   With no sun, the outside temperature of 61F 16C gave little comfort to the fractal cats as they lay on their shelf by the window.   But a bit of tuna lifted their spirits.

My day was peaceful, which I guess is all one can ask for.   The next FOTD, peaceful or not, will be posted in 24 hours.   Until then, take care, and change is in the air, but who knows which way it might go.


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

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

Star_of_Infinity   { ; time=0:04:44.05-SF5 on P4-2000
  reset=1960 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+1.66407211213/+0.39288926327/3.6e+007/1\
  /44/0 float=y maxiter=12000 inside=0 periodicity=10
  params=0.01/100/-100/1/-0.9897/0/0/0 logmap=270
  colors=000DGNCHKBIKAILAIM9IN8IP7IQ7IR6IS6IT7IU7IV8\
  IW8IZ9Ic9IhAHmAHrBHvBHzCUzCczCUzDHzDHvDHrEHmEHhFHd\
  FGdFGdGGcGGcHGcHGcIGbIGbIFbJFbJFaKFaKFaPLeUQhZWlc`\
  phfsmkwkjvjivhhugfueetddtbcsabs_arZ`qXZqWYpUXpTWoR\
  VoQUnOTnNSmLQmKPlIOkHNkFMjGLjIKiKIiMHhOGhQFgSHhUJi\
  WKkYMl_OmaQncSoeUpgVriXskZtmcuphztmzwrzzvzzzzzzzwv\
  zrrzmmXahWadUacTacRcbQhbOmaNrfMvjKzjJviIriGmcFhcEc\
  `CZXBUW9RU8PT7QR5RR4RT7PVAOWDNYFL_IK`LIaOHaRKbUPcW\
  UdZZdacedhfgmgjrhlvhozirzjuzmtzoszqzzszztzzszzqzzo\
  zzmvzkrzimzghvegrcgsaftafubevcewcdwccwzcwzbwzbwzaw\
  zawz`wz`wz_wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzz\
  wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\
  zwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzVwzVwzVwzVwzVwzVw\
  zVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzV\
  wzVwzVwzVwzVwzVwzUwzUwzUwzUwzUwzUwzUwzUwzUwzUwzUwz\
  UwzUwzUwzUwzUwzUwzUwzUwzU }

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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