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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I'm back! Though with all the copyright blather on the lists, I probably wasn't even missed. And perhaps it would be more accurate to say I'm half-back, since I'm still waiting for the new software CD to arrive in the snail-mail from Mindspring-Earthlink, so I can once again start sending through my Mindspring ISP. Until the software does arrive, and I get it up and running, I will not be able to post the FOTD images to ABPF. Until then (hopefully only a day or two from now) I will avoid unusually slow-to-render parameter files. Today's 14-minute image is borderline, but worth the effort. I return with a midget from the MandelbrotMix4 formula, a rather spectacular midget at that. When I noticed the parabolic strings of bays, I decided to name the image "Parabolas". Then I noticed the overall lacy effect and considered naming it "Lace". Unable to decide, I finally named the image "Parabolic Lace", a name that accurately describes the scene. The expression -1.1(Z)-0.011(Z^(-100))+(1/C), a whimsical series of 1's and 0's, lies behind the tan and green scene, which features a tiny midget at its center. The midget is rotated about 60 degrees CW from its normal orientation, though the midget is so small that the rotation is barely noticeable. Due to computer problems, I am unable to post the GIF image to Usenet, but as soon as he can get it rendered, it will be available on Paul Lee's web site at: The fractal weather has been cold but uneventful since I last reported. Today for example was partly cloudy with a temperature of 30F (-1C), which kept the fractal cats indoors chasing the elusive shafts of sunlight. I've got a good bit of philosophy backed up and ready to write. Today was too busy to give the wisdom the attention it demands, but the after-holiday rush will be gone in a few days, so keep tuned. Until tomorrow, when I'll return with another wonderful fractal, take care, and without fractals life would be only half as enjoyable. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Parabolic_Lace { ; time=0:14:03.39 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.43305938747111610/+0.02692426213655286\
/3.213848e+009/1/-32.499 params=100/1/1/-100/-1.011/0
float=y maxiter=1200 inside=0 logmap=197 periodicity=9
colors=000_MN<3>ZLKZLJZKJZKIZKHYJH<29>qbHqcHrdH<2>tf\
HugGtfH<5>gZHeXHcWH<2>YSHWRHVSG<12>NaDMbCLbC<3>JeB<6\
>EkXEk_Dlb<3>BomApm<3>7sp7tq6tr5us5vt4xu4wv<4>9xyAxy\
Bxz<10>LyzMyzNyz<2>QzzQzzSzw<2>VzmczhrzcwzbrzccpYTfS\
<3>J44<3>BUR9`W7fa5mg<40>HeLHdKHdK<3>IdI<28>copdpqep\
s<2>gqvgrwgqxgqy<22>gjz
}
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.
