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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Sometimes I take actions for which I can give no logical reason. Continuing this FOTD is one of these actions; naming today's image "Fractal Fall-Out" is another. There is nothing at all in the swastika-like image that hints at fall-out of any type. The swastika is an ancient mystical symbol, which did not lose respectability until the 20th Century, when it's mirror image was chosen to symbolize a less-than-noble political philosophy. But ancient and mystical or not, the twisted cross is no longer considered a politically correct symbol, so not wanting to offend, I could not name today's image "Fractal Swastika". I named it "Fractal Fall-Out" instead. The rating of 7 seems about right for today's colorful, though slightly depressing image, which was created with the iterated formula: -1(1/Z)-0.1(Z^(-10))+(1/C). The render time of approximately 8-1/2 minutes is within reason for all but the busiest viewers. For those busy ones, the GIF image file will soon be available on the web at: The fractal weather today was partly cloudy and, except for a brief burst of rain in mid-afternoon, uneventful. The temperature of 85F 29.5C pleased the cats, who were indoors when the raindrops splattered down. As is usually the case, I've got unexpected work to do. But regardless, I'll return in 24 hours with another fractal. Until then, take care, and though I may occasionally mention political things, I never discuss the topic. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Fall-Out { ; time=0:08:15.01--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-10.71669962637634000/-1.67197391424321\
90/3.282837e+007/1/-2.5 params=-1/-1/-0.1/-10/0/800
float=y maxiter=1800 inside=0 logmap=170
colors=00078X78XAA_DBbGDeIEhLGkHHnMIqLKtIMvHPxGSyD\
VzBYzAZz7az5dz3gz1jz1lz1oz1rz1tz1xz1xz1ux1rz1oy1lz\
1jz1gz1dz1az1Zz1Xz1Tz1Rz1Oz1Lz1Iz1Gu1Dn1Ag37`54T81\
MD5PG7SIAXMBZPEcTGeXIjZKlcMpeOthRxlSzoVzrXzlSzhPud\
Mn`KhXHaSDXOAPK7KG4DB17A8BAEEAKHAPKAVMA`RAeTAkXApZ\
AvaAzdEyaHv`KtZMrXRoVTlTXjRZhPceOecLh`KkZIgZVcZgZZ\
tVZzTazTczTdzTezTgzThzTkzTlzTnzToyTpyTryOkzKdzGgyB\
jx5lv1ou0rt0urLxpKzoKznOzlSzkVyjZthakgecdjYapSZuMX\
vOTtPRrROpSRpSTrTZrVdrXjrYorYtoXplXojXlgXkdVjaVgZV\
eXVdTTaRT`OTZLTXITVGSSDSRASP7SM4RL1RK0RH0RG0RE0SG1\
TG4VH8XHDXIGYIKZKO`KRaLVaLZcMadMeeOjgOlgPphPujRxkR\
zlSzlSznTvoVroVnpXjpXgrYctZZtZVu`Ru`MvaKxcGxcByd7y\
d3ze0ze0ze0ze0ze0ze0ze0ze0ze0ze0ze0ze0zh0zj0zk1zl3\
zn4zo5zp7zr8zt8zuAzxBzyDzzEzzGzzHzzIzzKzzLzzLzzPzz\
SzyVzuZzoazkdzehzakzXnzSrzMuzIxzDzz8zz3zz0zz5tzDnz\
IgzPazVVzaOzhIznBzu5zzvz5
}
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.
