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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In the 'Basically' image of two days ago we saw what happens to midgets on the main stem of the Mandelbrot set when they are very close to being swallowed up behind the bailout radius. In today's image I checked to see what would happen to a midget on the northern filament when it is about to be swallowed up. I reduced the bailout to 2, a setting that cuts off the extremities of the M-set, and zoomed in on the point where the eastern branch of the northern filament vanishes behind the shrinking bailout radius. I chose the closest midget to the cut-off point that I could find. The midget is a very small one, requiring a magnitude that borders on the arbitrary-precision range. I have entered the mathtolerance=/0 into the parameter file to be certain that the more accurate math is used in the rendering. This slows the image somewhat, but the render time of 7-1/2 minutes is still quite reasonable. The overall effect is much the same as what we saw in the 'Basically' image, though the radiating filaments zig-zag, in comparison to the earlier image, where the filaments are straight. The earlier image worked best when the outside was set to 'summ'. Today's image works best however with the outside set to 'tdis'. I had hoped for something a bit better from the day's adventure, and my disappointment shows in the image rating, which has dropped to a 6. The name "Whin Peel" is a variation of the word 'pinwheel'. Things could be worse; a rating of 6 is still above average. And the 7 minutes spent in rendering can be saved by downloading the completed GIF image from the FOTD web site at: Despite ample sun, the temperature stayed below freezing all day here at Fractal Central on Saturday. The fractal cats, whose delicate ears are subject to frostbite, waited until late afternoon before asking to go out, and then strayed no farther than 6 feet from the back door. 20 minutes later, when they were warm again inside, Tippy brought up the topic of tuna, and Thomas agreed. Today is starting almost as cold, and in addition the clouds are increasing with heavy snow forecast by evening. I doubt that the duo will have a good day. The philosophy will appear in a few days. The next FOTD will appear in 24 hours or so. Until then, take care, and don't get overrun by a hit-and-run fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
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reset=2004 type=mandel mathtolerance=/0
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inside=0 outside=tdis periodicity=10
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END PARAMETER FILE=========================================
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