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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: (Due to an unexpected telephone outage, today's C-FOTD is being posted 12 hours late. But better late than never.) Today's image returns us to the MandelbrotMix4 formula with its unlimited Minibrots. The expression Z^(-10)+10Z^(-2)+(1/C) was iterated to create the parent fractal, which consists of a roughly circular object. Small areas of scattered chaos line the perimeter of this fractal object, and a circular mass of chaos lies at the center. Today's midget lies on the perimeter, in the small area of chaos on the ENE border. This small chaotic area contains intact Mandel-buds. Today's midget lies near the end of the filament that extends from this bud. I named the picture "A Thorny Minibrot" after studying the image for several minutes and finding nothing better, and rated it an average 5. The render time of 26+ seconds from the parameter file is surprisingly fast. The download will take a few seconds longer. The choice is up to the viewer. The GIF file of the image may be found on Usenet at: The fractal weather today was increasingly cloudy with a temperature of 33F (0.5C). Freezing rain is due to begin shortly, though nothing has appeared yet. The cats spent the day indoors, unhappy about the cold outdoors. It's time to shut things down and call it a night. Until tomorrow, take care, and see you in 15 hours. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Thorny_Minibrot { ; time=0:00:26.47 -- SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip
center-mag=+1.36919600545343200/+0.37360798507764660\
/2337888/1/-127.499 params=1/-10/10/-2/0/900 float=y
maxiter=3000 inside=0 logmap=14 periodicity=10
colors=000EYe<3>8MP7JL5GH<2>174vKDTC6yex<3>gVfbSbZPY\
as7<3>av4aw3aw3Vm2Pd2Jc19c0Cc16c0`cZ<3>IcHDcD9c84c4Z\
cp<3>LcVHcQEcLAmF7mA3m5dmK<3>TmEQwC<3>Ew7Bw58w45z22z\
1fzr<2>AzDozA<6>Qz5Mz4Iz3<3>3z0yz_<7>SzGOzEKzC<3>4z2\
_zl<4>LzSIzOFzK<3>3z46zd3zKHz`<8>7zG6zD5zB<3>1z2Dzk<\
2>3zCTzV<4>GzIEzFCzC<2>4z52z21zJ<3>0zB0z90z7<2>0z1Yz\
k<3>BzG5z8mzU<3>PzFIzBCz76z3Kzy<3>CzbAzX9zS<3>1z5dzC\
<6>Kz6Hz5Ez4<3>2z0szL<5>UzBPz9Lz8<3>4z1wzR<3>UzDMzAF\
z67z3Uzi<7>EzLCzIAzF<3>2z3dzS<3>RzINzGKzE<2>Az7ezd<3\
>_zjZzkjzivzg<3>wz7<4>Lz`
}
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.
