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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Since I'm still a bit under the weather, the discussion will once again be brief. The most unusual feature about today's image is its magnitude of 2*(1013), which is beyond the point where definition begins to break down. But the image has such a soft overall feeling that the slight jaggedness is barely noticeable. Since I put very little effort into the image, I could not give it a fair rating, but I did name it "Further Exploration", since it is a trip much deeper into a fractal that closely resembles the parent of yesterday's image. A infinitesimal minibrot does lie at the center, but it is well beyond the range of conventional math. The calculation time of just under 3 minutes will try the patience of no one. And finally, the finished image is available for viewing on the FOTD web site at: A sunny but chilly morning on Wednesday here at Fractal Central was followed by a cloudy afternoon with a temperature of freezing, and light evening snow. The fractal cats slept most of the day. The next FOTD will be posted in 24 hours. Until then, take care, and give a fractal at least a ghost of a chance. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FurtherExploration { ; time=0:02:50.82-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=mandautocritinz function=recip passes=1
params=-5.5/-1.5/-0.5/-5.5/0/0/0/0 float=y inside=0
center-mag=+0.4383547998851132/+1.724578478231173/\
1.981275e+013/1/22.5/0 maxiter=1250 periodicity=0
logmap=330 mathtolerance=0.05/1
colors=000AASAATAAUAAVAAWAAXAAYAA_ACa9Fc7Ie5Lg7OgA\
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hfrgfrfbqbRbNQ`SQZXPXaOVf }
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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times.
