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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I think I'm growing bored with Mandelbrot midgets. It seems that almost every FOTD for the past year has featured a Mandelbrot midget. It's not that anything is wrong with midgets, it's that fractals with midgets are but an infinitesimal part of the fractals that exist. Perhaps starting in January I'll concentrate on the non-critical parts of fractals created by the M-Mix4 formula -- the parts that I've been ignoring until now. But January is still 2 weeks away, and today's fractal features another midget. The formula that drew today's midget is -15Z^(-1.15)-Z^(-11.5)+(1/C). It's a simple formula, whose potential belies its simplicity. The name I gave the image -- "The Mandelbrot Blues" -- is a reflection of my increasing dis-satisfaction with the seemingly unending string of Minibrots, as well as the blue area surrounding the midget. The rating of 4, which equals a little below average, also reflects my dis-satisfaction. At 11 minutes, the parameter file is slow. The download however is fast. The download may be found by going to the Usenet group: The image also will soon be available on Paul Lee's web site at the URL: The fractal weather today was sunny but quite cold, with a temperature of 34F (+1C), which kept the sensitive fractal cats indoors. The philosophy is yet simmering, as it has been for several months. I hope to again find my muse once the holiday rush has passed. But of course, there's no guarantee of anything except that it's now time to shut down the fractal shoppe, comfort the fractal cats, and call it an evening. Until next time, take care, and give a gift of a fractal -- not a print but an actual fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
TheMandelbrotBlues { ; time=0:10:51.87 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.092624493671836/-1.329957489597437/639\
706.4/1/-110 params=15/-1.15/1/-11.5/-2/500 float=y
maxiter=1200 inside=0 logmap=187 periodicity=10
colors=000Mxe<22>ebMeaLf`K<2>iYHjXGi_E<8>rEPsCQt9R<3\
>x0V<5>`5LX6JT6I<3>D9C<6>BW_BZcBbf<3>Bns<3>9lo9kn9km\
<18>8Ui8Ti8Si<3>8Oh7Mj<18>ISMITKJTJ<3>LUEGQE<12>hk9j\
l8mn8<3>tu6<24>vfHveIvdI<3>vbKycJ<3>saKqaLp`Ln`Lm`L<\
3>qZMrZNsZNtYNuYNr_OmaOhcOchOZhPThPShP<3>NaQL_QKZR<2\
>GURISS<3>OSSPRTRRT<2>VRTWQUYSU<2>aYUf_Q<5>Xk`VmbTod\
SqfQsh<3>JxoIyqGzsFzt<8>UzqLzf
}
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.
