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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today I finally cleared the backup from the week I took off. I celebrated by devoting extra effort to today's fractal image. The formula that was used is once again the MandelbrotMix4; the iterated expression is -1Z^(-11)-1Z^(1.1)+(1/C), an obviously whimsical choice. I puzzled a few minutes before deciding that the picture shows an army of space pods descending on a defenseless Minibrot. These pods are not the ones that take over human bodies; these pods take over Mandelbrot sets. And if the brilliantly illuminated midget at the center of today's scene doesn't get out of the way in a hurry, he'll soon find himself changed into a pod. When I recognized the attacking pods, I named the picture "Pods From Space". After all, space is the only place such pods could possibly be found. I rated the picture a much above average 8, mostly because I wanted to reward myself for the effort I put into the image. I used the passes=b algorithm for today's image. Not only is it the fastest, at least in this image, but it is by far the most fun to watch in action. I especially enjoy the way the Mandelbrot outline appears out of nowhere with no hint that it is coming. The parameter file renders in only 54 seconds, and running it is the only way to see the scene being drawn. But although I recommend running the parameter file, the finished GIF image is available as always at: The fractal weather today was like mid-summer, with a temperature of 86F (30C) and a hot sun. The fractal cats, who finally had their full day outdoors, approved of the conditions. The philosophy also made good progress this afternoon, as I pondered a topic as deep as the nature of reality, which really is the basic philosophical question. It will take a day or two to organize and write my thoughts, but when the wisdom is ready to enlighten or irritate, nothing will hold it back. And now, after such an active day, I'm exhausted. It's time to shut down the fractal shoppe and call it a day. If I'm lucky I'll find a junky old movie to put on the TV, which will enable me to miss the overblown presidential debate. But there's no debating that I'll be here again tomorrow with perhaps an even better fractal. Until then, take care, and the best fractals are yet to come. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Pods_From_Space { ; time=0:00:54.60 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=+2.50163790851569300/+2.32612668523780600\
/72.54889/1/72.5 params=-1/-11/-1/1.1/0/0 float=y
maxiter=550 bailout=25 inside=maxiter logmap=14
periodicity=10
colors=000CD4ED4<3>VC4ZC4aC4cC5eC5<2>kM5nP5qR5<2>za5\
I0AL0BO5C<2>XEF_HGbJF<3>jV6lX4l_9<3>fhSekWcm`bod<3>d\
kaej`ej`fk_fl_<3>hmXhmWimWimVimVMmdMmbMmaMmX<4>MmOMm\
MMmK<3>MmE<4>NmRNmUNmW<3>Nme<10>lmVnmUpmT<3>ymQ<10>T\
mOQmONmO<3>CmO<3>QmbUmfXmj_mmumi<3>mmnkmoimpgmqfmr<2\
>PmK<3>ImBHm9Fm7<2>Bm1<3>Qm5hmm<3>rmmummwmm<3>wmiwmh\
wrg<2>wrd_rLCr2Er5Fr8GwB<3>MwMNwOOwRQwURzXSzZ<12>SzX\
SzXSzX<2>SzXSzXRzZ<2>QzdCzV<15>XzHYzHZzG<3>czD<17>kz\
ikzklzl<3>mzsMzIMzDMz8Mz3Oz4Qz40z0zzs
}
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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