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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had intended to continue the 4D rotation series today, but just as I was ready to start writing the discussion, I was dragged to a concert of Christmas songs. The concert was acceptable, but by the time I got back to my desk, it was too late to give the FOTD discussion the attention it needs. I substituted an image I found and saved several weeks ago. The iterated formula, -9Z^(-1.5)-Z^(-13)+(1/C), is not exceptional, though like many M-Mix4 formulas, it draws some unexpected images. Perhaps the most unusual things about the image are the unusually long time it takes to render, and the unusually large size of the GIF file. The image itself is typical of midgets lying between buds very near the shore of the M-set. The scene lies in the East Valley area of a larger midget. The parameter file drags unbearably, requiring over 1-1/2 hours on a Pentium 200mhz machine. The GIF file is available for download at: The fractal weather today was cloudy and cold, with a temperature of 37F (3C) and a mixture of rain and snow in the afternoon that kept the fractal cats snug indoors. And after an afternoon of sitting and listening, I'm ready to settle into my favorite chair for an hour or so of TV. Until tomorrow, when the rotation series definitely will continue, take care, and see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Diversion { ; time=1:39:18.32 -- SF5 on a P200
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.545147334199108/-0.1066608549682611/19\
13401/1/-174.999 params=9/-1.5/1/-13/-2/400 float=y
maxiter=14400 inside=0 logmap=1335 periodicity=10
colors=000ZgT<3>caTe`Tf_TgYThXTjXS<51>ZOjZOjZNk<2>YN\
lYNlXOk<46>eBweBwfBw<3>fAxi9z<14>TFoSFnRGm<3>NHjPCl<\
3>GUeEYdCbb<3>4sX1zX<37>GHIGGIHFH<2>IBGIAGH7F<36>TdG\
TeGUfG<3>VjGQpTQqTOsT<7>YhT
}
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.
