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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's rusty-red-and-turquoise FOTD image "Midget by Starlight" because of the very prominent 8-pointed star surrounding the midget. Instead of a star I sometimes see two crossed concave squares with rounded corners surrounding the midget, but "Crossed Squares" just doesn't sound as classy as the actual name. The image has been rated a 6, though some of its worth is due to the presence of the star, which is a result of the coloring, and not something the numbers have done. Yes, I realize that it's a quadratic midget at the center of today's image, and that July is a month with no quadratic midgets, but due to a schedule change made necessary by a train derailment, hazmat spill and fire in a tunnel under the downtown area of the city, I was forced to use one of the images in my vast archives. And those archives are filled with mostly midgets. The formula that drew the image is a mess. For the benefit of the curious, it is: 0.00001(Z^(-1100))+10.1(1/Z)+(1/C), a whimsical expression that means nothing beyond the fractal it creates. The render time of almost 1/4-hour on a Pentium 200mhz machine makes a download of the GIF image the better way of viewing the stellar scene. In an hour or so, the download will be available on the Web at: The fractal weather today was cloudy with occasional heavy showers and a temperature of 75F 24C. The cats found the temperature fair enough, though the rain kept them stranded indoors. As for me, I've still got some catching up to do. The best way to finish is to get busy, so that's what I'll be doing for a good part of the day. Until next time, take care, and keep your cool while having sympathy for a fire department that must fight an underground fire that it can't reach, which has half the city shut down and has been burning for 20 hours already. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MidgetBy_Starlight { ; time=0:14:26.94--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-315.0304695202377/+33.89218968206931/7\
59.3559/1/7.499 params=0.00001/-1100/10.1/-1/0/800
float=y maxiter=3600 inside=0
logmap=127 periodicity=10
colors=000GB1GB1IC1KD1ME0OF1QG1SH1UI1WJ1YK1_O1aS1c\
W2eX2gX2gV2gU2gT2gR2gQ2gP2hN3hM3hL3hJ3hI3gH3eF3cE3\
aD3_B4YA4W94U74U64U54U34U24U14xtzvsytsyssxqsxprxnr\
wmrwkrviqvhqvfquequcpubpt`ptZpsYosWosVorTorSnrQnqO\
nqNnpLmpKmpImoHmoFloDlnClnAlm9km7km6kl4kl0lo2km3kl\
5jk6jj7ii9igAhfCheDgdEgcGfaHf`Jf_KeZLeYNdWOdVQcURc\
TSbSUbQVaPXaOYaNZ`M``Ka_Jc_IdZHeZGgYEhYDjXCkXBmX9n\
Y7mX9lXAkWBjWDiWEhVFgVHgVIfUJeUKdUMcTNbTOaTQ`SR`SS\
_RTZRVYQUXOPWMKVKKUIKUGKTEKSCKRAKQAKPAKOAKEAKIAKLA\
KOAKRAKUDKXGK_JKZMMZOOZPMZPLZPJZQIZQGZQFZRDZRCZRAZ\
S9ZS7`R5_S6ZS6YS6XT7WU7VV7UW7TX8SY8SZ8RZ8Q_9P_AO`C\
N`EMaGLaIKbKKbMJcOIcQHcSGcUGcWIcYKc_McaOccQdeSegUf\
iWgkYhm_ioajqckselugmwimwkmzjmzimzhmzgmzfmzemzdmzc\
mzbmzamzamz`mz_mzZmzYmzXmzWmzVmzUmzTmzTmzSmzRmzQmz\
PmzOmzNmzMmzLmzKmzKmzJmzImzHmzGmzFmzEmzDmzCmzBmz6m\
zBmzFmzKmzEmzHmzLmzOmzRmz
}
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.
