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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal reminds me of a pattern formed by grains of sand dancing on a vibrating glass plate. I named the image, which was created with the ubiquitous MandelbrotMix4 formula, "Modes of Vibration". The parameters of the image were entered on a whim. This should be no surprise, since most of the better FOTD images are whimsical things found by lucky accident. The unusual appearance of the scene is a result of the <fmod> option that I used to render the outside of the image. This under-used <fmod> option, along with the <tdis> and <iter> options, are the three outside options that I find most useful. Don't panic when you see the color section of the parameter file. The image uses only 34 of the 256 available colors, and the unused registers are all black. Trying to rate the scene, I found myself undecided whether to give it a rating of a 5 or a 6. I finally settled on a 6, deciding to be a bit easy on myself. The render time of the parameter file is 4-1/2 minutes on my cranky but faithful machine with the newly-replaced drive, which I have dedicated to fractals. Running the parameter file is an adequate way of viewing the image, but the optimal, though not quite as much fun, way of viewing it, is to let Paul and Scott do the hard work and download it from their web sites at: With a temperature of 57F 19C, the fractal weather Thursday remained cloudy and tepid. The fractal cats don't want tepid however. They want warmth. And when the cats don't get what they want, they become testy. Luckily, I escaped their wrath by picking their favorite flavor of cat-food for their afternoon meal. This was truly good luck, because knowing their favorite flavor is not as simple as it seems. What they're in the mood for is never the same more than two days in a row. I now find myself with work to do, so until next time, take care, and save the best for last. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Modes_of_Vibration { ; time=0:04:35.51--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.72563459120140300/-1.058813939969673\
00/11866.99/1/150/4.02353275696931689e-010
params=-1/-11.1/-11/-1.11/0/525 float=y
maxiter=1000 inside=0 proximity=5 outside=fmod
colors=000t_zqZznYzkXzhWzeVzbUu_TpXSjURdRQ_OOTLLNI\
IHFG9CE7FG7FJAGMDGPGIRJITMIVPKXSKZVL`XLbZNd`NfaNhb\
OjcPldPle00000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\
0000000000000000000000000
}
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
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