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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The hectic activity at the new Fractal Central continued today, leaving just enough time for a hurried fractal. For today's hurried FOTD it's back to basics, since exploring the basics is the fastest way of finding a worthwhile fractal. And what could be more basic than the classic Mandelbrot set. A day or so ago Rupert Millard posted two parameter files to the Fractint list, accompanied by a letter asking whether Mandelbrot spirals with more than one filament exist. I'm not sure of the answer to his question, though I suspect that there are no spirals with more than one filament. But even though I could not answer the question, I did a bit of exploring in one of Rupert's fractals -- the one with the single filament. Quite deep in the filament, I found today's image, which I rated at a 7. It's a pleasant image, featuring the ubiquitous midget at the center, surrounded by 16 elephants flanked in turn by oversized elephant-trunk spirals. The scene is located in the east valley area of the large midget on the negative tail of the M-set. We're exploring in the basics, so I gave today's image the most basic name possible. After a tiny bit of thought, I named it "Mandelbrot Fractal". Since the image is deep enough to trigger arbitrary precision math, it is a slow one, requiring almost 3/4 of an hour to render on a Pentium 200mhz from the parameter file. Considering the slowness of the parameter file, I recommend giving Paul and Scott a chance to render the parameter file and post the image to their web sites at: The fractal weather today was much improved, as warm sun and a temperature of 50F (10C) lured the fractal cats into the yard, where they romped for over an hour. Well, I guess that's it for today. It's already past midnight here at Fractal Central -- time to shut the old place down. Until next time, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.1 PARAMETER FILE==================================
Mandelbrot_Fractal { ; time=0:43:30.28 -- SF5 on a p200
reset=2001 type=mandel passes=1
center-mag=-1.748822732655161415/5.377604134126\
917e-4/7.45423e+013/1/-12.496 params=0/0 float=y
maxiter=4000 bailout=900 inside=0 logmap=567
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}
END 20.1 PARAMETER FILE====================================
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