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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image, which is named "Forty-Ninth Radical", takes us once again to the Mandelbrot set. The name has no connection to the Forty-Ninth Parallel that separates Canada from the U.S. It refers instead to the tiny radical with a periodicity of 49 on the south shore of East Valley of the M-set. A radical refers to all the stuff, such as filaments and sub-bays, associated with a particular bud of a particular periodicity. I think Mr. Mandelbrot himself created the name. Today's image is located deep in the star associated with the 49th radical. Virtually the entire effect of the image is due to the coloring, so I had no choice but to reward myself an extra half-point for the color work, making the image worth a grand total of 6-1/2. The prominent octagon with rounded corners that surrounds the minibrot in the image appears to be somewhat askew. Actually, it is perfectly straight. All the crookedness is a true part of the Mandelbrot set at this point. The calculation time of a lightning-fast 15 seconds is true on the fast 2000mhz machine. On the slow 200mhz unit the same image takes over 5 minutes to finish. One would assume that a machine 10 times as fast would calculate a fractal in 1/10 of the time, but my machine does it in 1/20 of the time, at least with the type=mandel and type=julia fractals. Curiously, with type=formula images, where I do most of my fractal work, the fast machine finishes in only 1/5 of the time. All this confusion about calculation time can only detract from the worth of the image, so why not view the finished product on the FOTD web site at: Cloudy and blustery weather with near freezing temperatures prevailed all day Friday here at Fractal Central. A few insignificant flurries of snow simply added to the interest. The fractal cats must have been annoyed by the conditions, for they got into a tussle when Cassie took Nico's favorite spot in the window and he had to bat her out of the way. An hour later however they had made up and were washing each other's ears. My day was busy enough to keep boredom at bay, but not too busy for relaxation. The next FOTD will appear in 24 hours. Until then, take care, and things are not always as they seem. Jim Muth jamth@mindspring.com jimmuth@aol.com |
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END PARAMETER FILE=========================================
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