|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: The FOTD is a little late tonight due to a 2-hour power failure caused by a crackling electrical storm. They said there were over 3000 lightning strikes in the area this evening. At least 1000 must have been within a half kilometer of Fractal Central. Luckily, I had found my fractal before the power went off. The formula 10.45(Z^(-1.2))+0.95(Z^(-11))+(1/C) was iterated, and the bailout was raised to 10,100 to produce the fractal. The parent fractal is another variation of the parent fractal of the "Circle" image of a week or so ago. This image was once again created with the MandelbrotMix 4 formula. I'm working on MandelbrotMix3, which will begin producing FOTD fractals as soon as I get it right. I named the image "Hopi" because of the hoop around the tiny midget at the center, and also because the Hopis of the southwest USA supposedly have the ability to create rain by performing their rain dance. After seeing the deluge of rain this evening, I'm convinced that some Hopis must have been doing a rain dance in the vicinity. With a render time of 5 minutes, the parameter file is a bit slow. Relief may be found by downloading the fully rendered GIF image from the Usenet binary group: The fractal weather today was very warm and muggy, with a light thunder-shower in the afternoon and a real whopper in the evening. The temperature of 93F (34C) was a bit too warm for the fractal cats, who remained inside, within a short dash of their hiding places when the storms came up. Sorry, philosophy-starved fans, the philosophy went nowhere again today. But keep checking -- one of these days you'll be pleasantly surprised. Until tomorrow, when philosophy or not, there will be a fractal, take care, and never give up hope. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Hopi { ; time=0:05:00.55 -- SF5 0n a p200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.23484599515930000/+1.31138272396386500\
/1.479015e+011/1/87.497/0.002 params=-11/-1.2/-1/-11\
/-1.95/10000 float=y maxiter=1200 bailout=25 inside=0
logmap=102 mathtolerance=/1 periodicity=10
colors=000W0_<3>Y1bZ4cZ7d_6h_4k`2w`1zN0ZH0ZA09402000\
0100700B00H00L00R00Y00a00h00l00s00y0<2>0z09z0Gy0Ns0V\
k0ac0iY0qQ0yK0<2>kL1<3>TLIOLNKLRGLWBL`7Ld4Lh6Qd7Ta9Y\
ZA`YBdVDhRElQGoNHtKIxHKzGLzDNzANz9RzEVzKYzO`yVdv`hsd\
koknlqqividy<3>HTzAQz4Nz2Vz1`v<3>0yR0zK0zK0zI<2>0zG1\
zG2zE2zE4yD6yD6xBYh07xB9vAAv9Av9Bt7Dt7Es6Es6Gs4Hq2Iq\
2Io1Ko1Ln0Ln0Nn0Ol0Ql0Qk0Rk0Tk0Vi0Vi0Wh0Yh0c`zaaz<6>\
aazaazaaz<3>aayaaxaaxaavaavaataatacsacsacqacoaco`cn`\
cn`cl`cl`ck`ck`ci`ci`dh`ff`hf`id`kd`lc`nc`oa`qa`s``t\
``vZ`xY`yY`zW`zW`zVZzVZzTZzTZzRZzRZzQZzOZzOZzNZzNZzL\
ZzLZzKZzKZzI<2>ZzGZzGZzEZzEZzDZzDZzB<2>YzAYz9Yz7Yz7Y\
z6Yz6Yz4Yz4Yz2<3>Yz0Yz0Yz0<3>Yz0Yz0Yz0<2>Yz0oztnzsnz\
qnzonzolznlzllzklzknz0iz0dz0`z4Wz9RzDOzH<2>BzV7zZ4zc\
0zh<3>0zz0zy1zx
}
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==================================
|
times.
