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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Between holiday weekend activities, writing my philosophy, and completing a little leftover work, I had almost no time today to search for a proper fractal. In desperation I turned to the MandelbrotMix4 formula, entered the parameters 1, -1.25, 1, -5.33, 1/C, and let her rip. The parameters did produce a fractal, and the fractal does have midgets in it. The midget in today's picture is just one of an infinity of midgets lurking in the parent fractal. The image can rate no more than a 4, and considering the lack of effort, even that is a liberal rating. I named the picture "Galactic Minibrot" because of the four galaxy-like spirals that surround the midget. The parameter file renders in a little under 8 minutes -- far too slowly for an image of below-average worth. But the picture is worth at least a trip to the Usenet group: The fractal weather today was a repeat of yesterday, except that the temperature was a few degrees warmer at 83F (28C). The ideal conditions brought out the best, (or worst), in the fractal cats. The philosophy was also quite active today, and can be seen in several other articles that I posted earlier to the Philofractal list. As for my present condition -- it rates a 2 on the 0-to-10 energy scale. The only cure is to settle in front of the TV and watch an episode of Dr. Who. Until next time, when the energies will hopefully be restored, take care, and when tension strikes, take a fractal or two. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Galactic_Minibrot { ; time=0:07:51.81 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.41583652310222700/-0.15553310911297980\
/13842.18/1/27.499 params=1/-1.25/1/-5.33/0/0 float=y
maxiter=1200 inside=0 logmap=54 periodicity=10
colors=000<16>000000000000000<3>300400501<2>82493584\
6<79>8Xu8Xv8Yv<2>8Zx8Zy7Yz<37>NksNlsOls<2>PmsPmsNnp<\
8>CqVBqSArQ<2>6sI5sG2vD<3>9rEBqECpEEoEGnF<6>RmGTmGVm\
GWmGYmG_mG_mI<5>cmAdm9em8em7fm6gm3<42>`mb
}
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.
