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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Though the render time of today's FOTD is over 2 hours on a Pentium 200mhz machine, this is at the SF7 resolution. At the normal SF5 resolution the image renders in 49 minutes. I entered the time comment in the parameter file at the SF7 resolution because today's image is one of those that needs the highest resolution possible to prevent features that should appear as tiny filaments from appearing as dots. The unusually long render time is due to the extreme maxiter of the image as well as to the fact that the short-cut passes algorithms are useless. When I studied the image, I was impressed by the deep midnight blue surrounding the central midget. I named the picture "A Midget at Midnight", a name that is not only descriptive, but poetic as well. I rated it at a 7, a rating that may be a bit liberal. The scene is one in the classic Mandelbrot set, in a valley of a tiny bud on the northwest shore of the main bay. In this area the scene is close to total chaos. The points don't know what to do. One point may escape after 3000 iterations; it's neighbor may be still trapped after 1-million. The overall effect is one of lightning-like filaments or a network of veins before a background of sandy grit. But a very broad color palette does reveal a rudimentary underlying pattern, as today's image demonstrates. The passes options other than 1, 2, or 3 are useless in an image such as this, because so much detail exists that the time the algorithm spends figuring what to do next is longer than the time a straight single pass takes. Although I'm not going to demonstrate the images the Julia aspects of areas such as today's produce, they are well worth the time spent in having a look. The four remaining aspects of the four-dimensional Julibrot figure are also worth seeing. Perhaps I'll have time to investigate such things when things slow down next month. As I stated earlier, today's image is the slowest in quite some time. The most efficient way of viewing the scene is to give Paul and Scott a chance to render and post the GIF images, and then go to the web sites where the images will be waiting. Paul's site is at: The fractal weather today was uneventful, with hot sun and a temperature of 89F (31.5C) to keep the cats happy. As for me, I've got things that need to be done, and limited time in which to do them. So the rational thing is to get busy. Until next FOTD, take care, and where are those Herman Rings? Jim Muth jamth@mindspring.com |
START PARAMETER FILE=======================================
A_MidgetAtMidnight { ; time=2:05:12.08--SF7 on a P200
reset=2001 type=mandel passes=1
center-mag=-0.41357633605202350/+0.574830605134010\
40/1.332446e+007/1/157.499 params=0/0 float=y
maxiter=1200000 inside=0 logmap=3000 periodicity=10
colors=000zG0zG0zG0zI0zI0zI0zK0zK0zK0zM0zM0zM0zM0z\
O0zO0zO0zP0zQ0zP0zR0zR0zR0zT0zT0zT0zT0zV0zV0zV0zX0\
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}
END PARAMETER FILE=========================================
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times.
