|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: I named today's fractal "Abacus". I have no excuse for such an unlikely name, except that the word simply popped into my head while I was gazing at the picture. The rating of 6 might be a bit liberal, but it's not a bad image, and could easily be described as slightly above average. Of course, the image was created by the MandelbrotMix4 formula -- that most prolific producer of FOTD's, at least until the next generation of MandelbrotMixes comes along. The scene exists deep in version 2 of the 'Parent' fractal, near the point where a group of holes converges on the most prominent ring. And yes, I must confess a sin . . . I ran the image through a graphic program before posting it. But I only added a little contrast, so the sin was minor. The parameter file takes over 7 minutes to render, making a download of the GIF image file worth the trip. That GIF file may be found on Usenet, posted to the binary group: The fractal weather today was variably cloudy with a temperature of 77F (25C), which the cats must have found to their liking. Tippy showed up at the door just after lunch, holding a mouse. So I know he enjoyed himself. And I feel a sense of relief now that the philosophical article, which I labored over for nearly two weeks, has finally seen the light of day. After such an outburst, I'm temporarily out of steam, but in a few days I'll be ready for another round of philosophy. So keep tuned. Oh my, I hear Thomas downstairs shouting at Tippy. Hopefully, they're not quarreling. I'd best shut down the fractal shop and settle the fractal cat dispute. Until tomorrow, take care, and find the entire universe in a fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Abacus { ; time=0:07:12.26 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.761983653717536/+16.05757282768079/772\
83.86/1/-72.5 params=-1/-11/-11/-1.08/0/800 float=y
maxiter=900 inside=0 logmap=133 periodicity=10
colors=000LlxNqxPwwQzwRvrRqoRlkTggTcdTZ_<2>UKPUGLUAI\
`LL<3>ywVzzYzz_wwarrdomfjhhfdka_mZWpURrQNuLIwIDyD8z9\
3z60z93yD6uH8pKAkODeQG`UIWYIR`ILdIHgICjI7oIAqIErIHsK\
GuOGvPE<2>yTDzUCzUCzVA<2>zU9zT8zR8zRJzQTzPcyPlpThgVf\
_ZcR``JdZAfV2jT0lQ0kT0jU0hV<2>2fZ3f_5e`7da8dc9cdAae<\
2>E_hG_jJah<3>Ygg`hfdjfglfkmeooeqpecZ`QHWD0TI8YNG`RN\
eWUh`amehqjpvowyjsueqp`okWlfRhaNfZ<2>8ZK3WG0UA0R70`9\
1jC5sE7zH9yEAvDCsADp9Em7Gj6Hg3Id2Ja1<3>e_PjZVpZ`uZep\
`f<3>ajkZllUom<2>JvqGxrCzrGxoIvkLuhOreQpaUo_<3>dfNfd\
JjcHl`Do_Ap`DpaGpcIpdJpeLqeOqfQqgRqhUqjWrjZrk_rlarmd\
rofrogmmjhlkell`kmYjpTjqPhrKhsHgvCfw8fx3ey0ez1cz1az2\
`z2_z3Wz3Uz<4>RGzWDz`Az<3>s0zx0zz0zz0zz3z<3>zLzzPzzU\
zzZzzaz<3>zAzzDz<4>zJzzKzzNz<3>zRzzTzzUzzVz<4>zEz
}
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==================================
|
times.
