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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: A glance at the center coordinates will show that today's midget is located deep in the East Valley area of the Mandelbrot fractal. I use the term "Mandelbrot Fractal" because the Mandelbrot set consists only of the interior of the lake and the buds. (I'm not sure whether the interiors of the midgets, which are connected by infinitely thin filaments, are considered to be parts of the main set, or to be separate sets.) All the fancy colored bands that surround the lake are not part of the set itself, but are a fractal whose appearance is determined by parameters set by humans. Thus we can make the outside (and inside also) appear most any way we wish, but unless the basic formula is changed, the border between inside and outside will remain unchanged. As I stated above, today's fractal is located deep in East Valley. In this area, the elements become pinched off, making it a difficult area to color. When I went to color the FOTD for today, I tried all the variations of my usual equal iteration band method without success. Then I tried the outside=tdis option. This option has potential, but it slows down the rendering by a factor of 10, and time was short. I finally decided on the outside=summ option, which adds together the iteration count, real and imaginary values, and sets the bands according to the value of the sum. The summ option reveals a pattern in the image, which at this extreme depth in East Valley is almost lost in the sand. The pinched-off elements are clearly visible, and even have some detail. After my effort, I rated the work a 6, and gave it the name "Midget-Two". The 25-minute render time may be avoided by giving Paul and Scott a chance to render and post the image to their respective web sites at: The fractal weather today featured (if one can call it a feature) heavy rain and thunder-storms. It's actually the remnants of the storm that flooded Houston, Texas about a week ago. The storm just doesn't know when to quit. The temperature of 77F (25C) was irrelevant, since the fractal cats spent the day crouched down, sulking because of the wetness and hissing sound of heavy rain. The fractal basement survived with only a couple puddles. As for me, I've got to get back to that M-set. The next FOTD is due in only 12 hours and I've nothing yet to show. Until then, take care, and walk with fractals in mind. Jim Muth jamth@mindspring.com |
START PARAMETER FILE=======================================
Midget-Two { ; time=0:24:49.52--SF5 on a P200
reset=2001 type=mandel passes=1
center-mag=+0.25061098021060020/-0.000027092113537\
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maxiter=250000 inside=0 outside=summ periodicity=10
colors=000zg0zj0zn0zl0zl0zj1zj6ziAziEzgJzgNzfRzfXz\
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}
END PARAMETER FILE=========================================
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