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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image shows a midget deep in the western shoreline of the northern branch of Scepter Valley of the Mandelbrot set. It is neither named nor rated. The only thing unusual about the image is the nearly circular pattern surrounding the central midget. On my old 200mhz clunker, the image takes 24-1/2 minutes to calculate. My 2300mhz fireball unit finishes the image in just over 1 minute -- a speed increase of 23 times. Unfortunately, the spectacular speed increase of the new unit is true only for fractal types Mandelbrot and Julia. (At least, I have found no other fractal types with such a speed increase.) The speed increase of the type formula fractals is closer to a modest 4 times. I suspect the types Mandelbrot and Julia use a specially designed and very efficient routine. The image may be seen by running the included parameter file or by downloading the completed GIF file from the FOTD web site at: Rain in the morning and chilly winds in the afternoon here at Old Fractal Central on Tuesday kept the fractal cat duo confined indoors. They showed less than the normal dis-satisfaction with their confinement however, and had totally forgotten their bad day by the time the evening treat of tuna was served. My day was another very busy one. The next FOTD has an 81-percent chance of being posted in 24 hours. The philosophy will be on hold until the New Fractal Central is established, which will not be before the start of summer. Jim Muth jamth@mindspring.com jimmuth@aol.com |
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