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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Having been busy all day today, I found almost no time for fractal fun. But thanks to the MandelbrotMix4 formula, the tiny bit of time I did find was enough to create today's fractal. The name "Tiny Fractal Town", which I gave to today's image, has nothing at all to do with the appearance of the picture. I thought of the phrase while repairing a crack in the wall of the soon-to-be all-new Fractal Central. The rating of 7 is an honest statement of my opinion of the image. The formula that drew the image mixes portions of Z^(-0.75) and Z^(1.25) before adding 1/C. The image takes 8-1/2 minutes to render from the parameter file, a long enough time to make a trip to: The fractal weather today was mostly sunny and seasonal, with a temperature of 45F (7C), which lured the fractal cats onto the porch. Thomas ventured into the yard long enough to eat his fill of grass, which he barely managed to keep down until he came back indoors. I forgave him for the little mess he made on the kitchen floor. That's it for today. I'm totally fatigued once again, and ready to doze off trying to watch some junky movie. I'll return in 24 hours, hopefully refreshed, and with a new fractal. Until then, take care, and when is the last time you saw a fractal going through a red light? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Tiny_Fractal_Town {;time=0:08:38.11 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.34217061781688710/-0.272164222882134\
30/1.549436e+008/1/-157.499
params=-2/-0.75/1/1.25/-1.65/0 float=y
maxiter=1600 inside=0 logmap=158 periodicity=0
colors=000I6hI6hI6gI6fI6eI6cI6`I6ZI6VI6RI6OI6KI6HH\
6DG78G68E5GD5NC5TA5_93f83l73s73yCAxHHxLNwQTwVZw_ev\
dkvhqumwuqzuuyshvrjsqdppZmoUhmQflNckJ`jGYhCVgAah9f\
j9mk8sl8xmJ2HTGPaTYjeesrmyyyyzjxw`vsRupIrl8qh0re6r\
cDr`KrZRrVZrTerQlrOsfKvVHwKDxL8zL3zL0zN6yOAvPHrQLo\
RQkTWgU`dVf`WkYYpU_mValVckVehVfgWhfWjdWlcWmaWHsPHU\
gJVcLW_OWVQYRRYNUZJW_EZ_A``6a`2ef7hlAlrEowIqsNrqQs\
oUukZvhawfexcjy`mzZqsammdjgffahcWk_PoWJqTDsP7vL1xI\
0zGVq3Zl6`g7dc8f_9l`8qa7wc6zd5ze5z`3zY2zT1xP0zU0zU\
0zU8yWHzcPs_OmWNfUN`QLUNLOKKHHKADJ5AJ9CHDDEHECKG9P\
H7TI5WJ2_K0jhTuzuqzomzjkzdgz_ezVfuZgp`gkdhffjajjYl\
kRpkNrlIvmDxm8zo3zo0zm3zl7ykAvkGsjJphNlhRjgVffZcfc\
`efYdjUdoRcrOavKayIWx0QwCKvTNqRPlRRmRUoRWpRZqR`rRc\
sReuRfvRhwTkxTmyTozUqzUszUvzVwzVyzVzzWzzWlzfjzdfz`\
dzZ`zWYzTVzQRzOPzKLzIJzGQzNYzUdz`kzgrzmlzjgzgazeYz\
cTz`NzYIzVCzT7zQ2zOEzQPzT
}
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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times.
