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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have decided that the month of July will me a midgetless month. I need a break from the unending string of midgets. But July is still 2 weeks away, and there's lots of time for midgets before then. And don't worry all you fans of the mighty midgets, the midgets will return in August, when they will appear much fresher due to the month's absence. I sometimes hear it said that nothing of interest remains to be discovered in the classic Mandelbrot set. I find this statement to be rather puzzling in view of the fact that the set is infinite, and Fractint can enlarge it to a size nearly one googol times that of the visible universe. (If not larger!) Today's image pictures a midget in the classic Mandelbrot set, which holds more midgets than one can shake anything at. This midget is located in the northwest suburbs of a larger midget in a high-iteration area of a second-order valley of a small bud on the west-northwest shore of the main bud of the M-set. The scene is actually in double-scepter valley. I named the picture "The Unseen Midget". Almost certainly, this particular midget has never before been seen, a fact that inspired the name. The scene proved to be a particularly difficult one to color. Nothing worked until I tried the -nnn logmap option, which causes a quadratic compression of the iteration values. This particular compression reveals the unusual pattern of twisting, folding arms surrounding the midget. Considering the fact that the image is part of the warhorse M-set, and not part of some exotic formula, I could rate it no higher than a 6, which is still above average. The render time is a short 5 minutes; the download time of the GIF image file is even shorter. And in an hour or so, that image file will be available on Paul Lee's web site at: The fractal weather today was near perfect, with blue skies and a temperature of 86F (30C). Only the unusually high humidity kept it from being absolutely perfect. The cats showed their approval by resting in the yard for a good part of the afternoon. My urge to philosophize is once again rising. This time I'm thinking of my favorite form of mental exercise -- the fourth dimension. About 10 years ago I wrote a novelette about a man who got snatched into hyperspace, and was lost there until he found his way back into his home space. Unfortunately, he returned as his mirror image. I ignored the fact that his body would have appeared as anti-matter and the resulting explosion would have wiped out half the state, but this did not mean that all was well for him, because his reversed body could not digest the normal unreversed food, and he nearly starved. I think the story, which after much struggling turns out well, is still on a disk somewhere in my vast archives. Maybe I'll dig it out and re-write it one of these days. But for this evening, I'll do nothing but take it easy and supply the pesky fractal cats with a bedtime snack. Until next time, which will arrive sooner than suspected, take care and see you then. Jim Muth jamth@mindspring.com |
START PARAMETER FILE=======================================
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END PARAMETER FILE=========================================
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