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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's Minibrot has nothing really outstanding going for it, so I had to create something. To give the image something to brag about, I worked up an extravagant color palette, intensified the colors a bit more, and coated the scene with the bombastic array of hues. I named the final image "Bombastic Minibrot" because, like a skilled politician, it makes a lot of noise while having little to say. I'm not quite sure why I rated it as high as a 7. Maybe I like the visual noise. (Writing can also be bombastic, but that's something we won't discuss.) The iterated formula that created the image subtracts 4.5 parts of Z^(-1.5) from 5 parts of Z^(-1.3), then adds (1/C) instead of the normal C. The time required on my machine for this wonder to occur as a result of running the parameter file is a little over 6 minutes. The time required to go online and pick up the image from: The fractal weather today was mostly cloudy and very humid. What discomfort the temperature of 88F (31C) lacked was supplied by the humidity. To add to the interest, thunder-showers roamed the area from midday well into the night. The thunder kept the cats skittish, but knowing that fractal cats are intrepid, they faced the danger bravely. As for myself, being unable to accomplish any outside work, I spent much time pondering the ramifications of cloning and its relation to personal individuality. While pondering, I never ignore or deny a problem simply because there is no scientific way of addressing it. That's what down-to-earth, common-sense, rational-thinking people do. Wild-eyed, credulous but open-minded individuals like myself ask (and sometimes believe) anything. My cloning essay, with more questions than answers, will appear on the Philofractal list in a few days, when I have had a chance to re-work it. Trying to keep dry in the meantime, I'll return in 24 hours or so with another knock-out FOTD. Until then, take care, and have a happy day. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Bombastic_Minibrot { ; time=0:06:14.04--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-7.37493071961238400/+0.022864366644824\
79/6480602/1/-115 params=5/-1.3/-4.5/-1.5/0/0
float=y maxiter=1200 inside=0 logmap=125
colors=000N00R00R00V00X00Z00`00b00d00e00g00i00k20m\
60o80qC0sE0uH0vG0zJ0zN0zR0zV0zZ0zb0ze0zd0zi0zm0zq0\
zs0zw0zv0ws0ro0mk0hg0cd0Z`0UX0PT0KP0FL0AH05G00J00L\
00NE0PE0TC0VC0XC0`A0bA0dA0eA0d80d80b80b80`82`66Z6C\
Z6GX6JX66d0NX6dREuLLz0EzGRzkZzgbzdeu`ioXmgTo`PsTLv\
NJzGGz8Cz08z04z00z00z00z00z04z08u0Ek0Hd0LV0RL0VC0T\
00Z44b88eCEiEJoHNsLTvP8mNXzRzzvuzVXz28z06z04z02z40\
zG0zP0zZ0zi0zs0zz0zz0zzAzzJzzTzzdzzmzzvzzzzzxzzqxx\
kssdmmXgeRd`JZVCTP6NH0HC0C60800C40E60G80HA0JE0LG0N\
H0PJ0RN0TP0VR2XT4bR2ZV2VZ2T`2Pd0Ne0Ji0Hk0Eo0Cq4Ei6\
Eb8GVCGNEGHGHAJH2LJ0NJ0PJ0NG0LE0JA4H8CG4HE2PC0XA0d\
A0iE2gH8gJEgNJgRPgTVgTTkTXkT`kTdkJg0Ei08k22m80oC0q\
G0sH0uH0vJ0xJ0zJ0zL0zL0zL0zC4z4Az0Gz0Lz0Rz0Xz0bz0e\
z0kz2oz8gz2bz0Xz0Pz0Jz0Ez0Hz0Jz6LzGPzRRz`TzkVzuizz\
xzzzzzzzzzzzszzbzzLzz4zzAzzEzuJzmNzd8zk6zg2zb0zZ0z\
V0zZ0zR0zL2zG6zAAz4Gz0Jz0
}
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.
