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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: We have a good fractal for today, but not much time for a discussion. We'll make up tomorrow for today's lack of words. The formula behind the image is a whimsical accident -- 2.46Z^(-4.56)+15.78Z^(-1.12)+(1/C) -- which was iterated up to 1400 times. I rated the picture an 8, and named it "Infinite Ringlets", a name inspired by the eight chaotic rings surrounding the midget and the infinity symbols scattered throughout the scene. The parameter file runs in 16-1/2 minutes on a Pentium 133mhz machine, 11 minutes on a 200MHZ. A download from: And in 12 hours the GIF image will be posted to the Usenet group: The fractal weather was ideal for cats today, as sunny skies, light winds, and a temperature of 44F (6.5C) lured Thomas and Tippy into the yard. And now it's time to shut down the fractal place and call it a night. I'll return in 20 hours with a fractal and some philosophy. Until then, take care, and believe in fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Infinite_Ringlets { ; time=0:16:38.94 -- SF5 on a P133
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-28.13018800949712000/+53.356095688422790\
0/3806511/1/59.999 params=1.23/-4.56/7.89/-1.12/1/800
float=y maxiter=1400 inside=0 logmap=219 periodicity=10
colors=000`TzYUzXWzUXzSYzRZzO`zMazLbzIczGezFfzEczEbx\
<2>DXpDWmBTjBShBReAObAN`ALY9KU9HSFGQHFNVILTLIcNGeQFl\
SDqUAwX8zZ7zY7zX7vW7qU7jT7eS7<3>GN7<3>2I7AG9HEB<2>c7\
Hj4Ir2Ly1Mt4Lp8K<2>bIGZLFUQEQUDMZBHcAEg9FhAGcBHcDIZE\
ITF<2>MOHNNINLK<2>RGNSFOSEO<3>yIqzIwzNvzSvzXtzatzfsz\
jszprytryxrvvsrssnrtjptgntclv`ivYhwUfwRew<2>GZyDXyAW\
yG`x<3>bnshrrmvqlwm<3>gycfzaezZ<3>`zOZzMYzKXzHWzFezT\
mtfvnszizpWwaHmO3eR2fT2fU2fX1fY1f`1fa1fb3cb4bc7ac8`e\
AYeBXfEWfFUgHTgIRhLQ<2>iQMZUSQZXGbaDYZ9UX5QW3MT0HS0E\
Q0AO1ET<3>OQgMUcLY`IaXHeTGhR<2>NaeQZiRXnTUsWSxYQzZOz\
bSzeUzgYziWzlTznTzqTzXTwETp0Th0Ti1Tj4Tj7Tl9TmDUmFWnH\
XnLYpNZqR`q<3>aetcftegq<3>elbemZenX<3>fsIftFfvBfw9Ux\
GIyM7zT0zZ0z`<2>8z`Az`Ez`Gz`Iz`Mz`Oz`Rz`QzWQzSOzOeza\
hzffzhczibzj
}
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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