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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: At first glance, today's image from the good old Mandelbrot set appears to show just another midget in Seahorse Valley. And indeed it is a scene in Seahorse Valley. But why then does it take over 1-1/2 hours to calculate on the fastest P4-2000mhz machine, and over 5 hours on the slow old P-200mhz unit? The obvious reason is its magnitude, which is large enough to require arbitrary precision math. But why then is such a large magnitude needed when the midget appears to be one of a relatively small magnitude? The reason for this is that the Seahorse Valley in which today's scene lies is not the Seahorse Valley of the M-set itself, but the Seahorse Valley of a miniscule midget just beyond the tip of the main stem of the large midget on the main stem of the M-set. Perhaps the most unusual thing in today's image is the way the near total chaos of this general area of the M-set blends into a very smooth overall image. Only the remnant irregularities around the edges betray the true location of the scene. With all this in mind, I named the image "Deep on the Spike". I rated it at a 7, which seems fair enough. But the very slow calculation time of the image could be a real problem, so I strongly recommend visiting the FOTD web site at: A light but steady rain fell most all day Sunday here at Fractal Central. The area needs the rain, so I guess we can't complain. I spent the day indoors, checking old fractal formulas, (spelled formulae by the over-educated), while the fractal cats spent the day like cats usually do -- sleeping and eating. The next FOTD should appear in 24 hours. Until then, take care and vote for a fractal in the next election. It will probably do a better job of running things. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
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END PARAMETER FILE=========================================
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