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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: A very busy easter Sunday left little time for fractal activity. I found time only for a quick trip to the classic Mandelbrot set, where, not surprisingly, I found a midget. The midget is located on the north shore of the bud located around -1.31, in a spiral in the third valley of a sub-radical -- a very remote location -- which is the reason I named the image "Remotely Mandeloid". Since I put next to no effort into the image, settling on the first FOTD candidate that appeared, I can rate it at only a 3. But even at a 3, it's still a midget in the M-set, almost certainly one never before seen. The area of the midget is one of near chaos, though a broad color palette reveals the familiar pattern seen in the shallow parts of valley spirals. With a render time of over 13 minutes on an old Pentium machine, the parameter file tries ones' patience. A faster way of satisfying curiosity is to download the GIF image from Paul's web site at: The fractal weather today was very pleasant most of the day, with clear skies and a temperature of 68F (20C), which lured the cats into the yard. Late in the afternoon however, clouds moved in and a chilly rain set in, cutting the cats' outdoor activities short. I've been thinking much philosophy lately. I simply have no time to write it. But eventually the wisdom or nonsense (depending on one's view of my ideas), will appear. So stay posted for more than I've had to say lately. (We really need to wake up that sleeping Philofractal list.) For now it's 8:30am and back to work time. The next FOTD, a return to the MandelbrotMix4 formula, will appear in around 16 hours. Until then, take care, and from simple complex numbers mighty fractals come. Jim Muth jamth@mindspring.com |
START 20.0 PARAMETER FILE==================================
Remotely_Mandeloid { ; time=0:13:39.72--SF5 on a p200
reset=2001 type=mandel passes=1
center-mag=-1.31202873989414700/+0.067685741726728\
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maxiter=100000 bailout=25 inside=0 logmap=-11450
symmetry=none periodicity=10
colors=000UUgUUgUUhUUiUUjUUkUUlUUmUUnVUoTUpRVqPXrO\
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}
END 20.0 PARAMETER FILE====================================
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