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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: All too often we forget the most basic of all fractals, the classic Mandelbrot set. We cast it aside with an attitude that everything of interest in the set has already been worked to death. Even I, a conservative fractal purist, tend to overlook the faithful old M-set, with its infinite nooks and crannies. Well, today, for at least one day, I have corrected my oversight by exploring the best-known area of the M-set -- Seahorse Valley. True, I did venture rather deep into the valley to find today's midget, but not so deep as to need arbitrary precision math. The midget at the center is shaped unusually perfect, unlike many midgets in Seahorse Valley, which, along with the midgets in East Valley, are some of the most distorted in the entire M-set. The midget is located on the filament of a bud, where the filament merges with one of the triple bottomless pits that characterize the deep Mandelbrot valleys. I named the image "Seahorse Minibrot" in recognition of the fact that the scene lies in Seahorse Valley. I rated it a perfectly average 5, admitting that this area has already been thoroughly explored. Lying so deep in Seahorse Valley, the image has an unusually high maxiter, which results in a render time from the parameter file of over 28 minutes. A better way to view the image is to give Paul and Scott a chance to render and post the GIF file to their web sites at: The fractal weather today was like mid-summer, with clear skies, hot sun, and a temperature of 86F (30C). The fractal cats spent over an hour outdoors, but when they returned, they complained that it was too hot. That's it for now. The philosophy is still building, and may soon burst forth in its full glory. But philosophy or not, I'll return tomorrow with another fractal and more fractal talk. Until then, take care, and be of stout heart but slim body. Jim Muth jamth@mindspring.com |
START PARAMETER FILE=======================================
Seahorse_Minibrot { ; time=0:28:38.08--SF5 on a P200
reset=2001 type=mandel passes=1
center-mag=-0.74997725991656570/+0.00836815652421319\
/3.939857e+008/1/-52.5 params=0/0 float=y
maxiter=500000 inside=0 logmap=-17500 periodicity=10
colors=00009008404802D01G00L00O00V00_60dE0iN0nX0sd0x\
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}
END PARAMETER FILE=========================================
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