Fractal visionaries and enthusiasts:

Today's image is a quickie, a scene I found after only a 5-minute search in the parent fractal that comes about when 1.5 negative parts of Z^(-5.8) are combined with 3.6 negative parts of Z^(-1.6) before (1/C) is added on each iteration.  This parent fractal is basically indescribable, though it may easily be seen by backing out of today's image.

The name "Zero Equals Infinity" resulted when I felt a bit of disappointment over today's creation.  When a zero or an infinity appears in a theorists math, it's usually a sign his theory is in trouble, just as my fractal for today was in trouble from the moment I found it.

As a result of the image's shortcomings, I could rate it no higher than a humble but not disgraceful 6.  The 'tdis' I applied to the 'outside' parts of the image helped a little, but not enough to raise the rating to the 7 that I strive for in all FOTD images.

The dragging 42 minutes required to run the parameter file helps not at all, but salvation is at hand on the FOTD web site, where the image is posted, already calculated.

A mix of sun and clouds, with a temperature of 84F 29C and reasonable humidity, made Saturday quite a pleasant day here at Fractal Central.  The fractal cats took things easy; the humans did the same.  The next FOTD will be posted in 24 hours.  Until then, take care, and the theory of (almost) everything may turn out to be nothing at all like we expect.  (I will remove the mocking 'almost' from my description when the theory includes the conscious minds that are seeking the theory.)

Jim Muth
jimmuth@earthlink.net


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

ZeroEqualsInfinity { ; time=0:42:11.38-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+0.4270338604367973/+1.228832738472935/\
  2.76106e+007/1/-77.5/0 params=-1.5/-5.8/-3.6/-1.6/\
  0/0/0/0 float=y maxiter=18000 inside=0 outside=tdis
  logmap=2939 periodicity=6
  colors=000mzUTYRRbOOfLMkIJoFHsCLqEPpFToGXnH_mIYnMW\
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  eHGgNFdSFbYF`bEZhEXmEVYcC_`A`Y9aV8bT7dQ6ihqihqgfoe\
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  5PVDRUKSUSTUZVUfWUmXUtYUuWRvVOvTMwSJwQHxPExOCbahWi\
  YPrNKsCKt`KuVKvQKwLUxRczX }

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