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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I'm kind of rushed again today, so the fractal discussion will once again be short. Today's image is part of the classic Mandelbrot set. Although this particular fractal has been explored far more than any other, no more than zero percent of its totality has so far been discovered. With today's FOTD image, we increase the areas that have been discovered while not decreasing the unknown areas. The midget at the center is still out of sight, though there can be no doubt that a midget is there. The infinitesimal size of the midget is normal. As the magnitude increases in the Mandelbrot set, the pattern around midgets also increases in size, until in cases like today's, it is impossible to show both the midget and its entire pattern in the same frame. Today's image lies in a pattern surrounding a larger midget on a side filament extending northwest from the main bud. I named it "Mandelbrot-01" more as a catalog number than an artistic title. Naturally, the next image from the M-set will be number 02. Because of a little extra effort in the coloring, I rated the image a 6. Due to the extreme depth of the scene, the parameter file requires well over an hour to render. But the viewer can avoid the rendering blues by letting Paul and Scott do the rendering. After giving them a chance to render and post the image, it may be downloaded from their web sites at: The fractal weather today was once again of the normal summer variety, with the partly cloudy skies and temperature of 83F 28C making the cats happy and weather buffs bored. But one way to avoid boredom is to have a load of work that needs to be done. And at this time I am not bored. So until tomorrow, take care, and before we can raise the Hamiltonian, we must find where it sank. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
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END 20.0 PAR-FORMULA FILE==================================
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