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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The tiny midget in today's image is truly an oddball, which is why I named it "An Oddball Midget". It's odd because the elements surrounding it have a 6,12 symmetry rather than the usual 4,8,16 symmetry. I don't know why this is so, it seems impossible, but the image proves that it is a fact. Partly because of its artistic worth, partly because of its mathematical curiosity, and possibly because it takes seven minutes to render, I rated the image a 7. That seven minute wait can be considerably reduced by downloading the completed GIF image from Paul's web site at: The fractal weather Monday featured sunny skies and slightly chilly temperatures around 60F 15.5C. The sun, which is now shining strongly on the porch, made conditions there ideal for two intrepid cats, who passed the day watching the world pass by. As for me, I'm still in the midst of the big FOTD CD rush. Progress is being made, but there's still a way to go. Until next FOTD on the 12th, take care, and don't take speculation too seriously. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
An_Oddball_Midget { ; time=0:06:58.64--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.44864808352772010/+0.000069178950410\
05/2.767556e+008/1/67.5/2.5236516997678704e-007
params=1/3/-0.35/4/0/0 float=y maxiter=1800
inside=0 logmap=129 colors=00098KB9LBENBHP9KS9PV9S\
Y9V`TbcmhcznczxMzz4zz0zz0zz0zz0zz0zz0zz0zz0XxJ3ic8\
nbCq`Hu_MxYQzXVzV_zTbzTiuMqcGyN8z61z00z00s04h08_0C\
P3HG4KCGVBPc8Ym6fv8cq9bn9bkBchBceCcbCgcQlecskzzz00\
00008006004114643C91HC1MG9NKHMPPQTXTYc`bqmfuy0nq0h\
i1bb3XV4QN6KG8E889BG6CN3EV0Gb0Hi0JqTGMzC0nT0_h6KyG\
6zNVzciz_x00v00u00s30s40q80pB0nE0nG0kK0iP0hS0fX1e`\
3cc4bh6`k8_p9YuBXxCVzETzGSzHQzJPzJKzHGzHBvH8pH3hH0\
bH0VH0PH0HH0BH09M08P06S04V03Y01`00c30f60i80mB0pC0s\
G0vH0yK0zM0zQ6yTNsYen`vhczchzemzepzekmih_ncMs`9xHz\
SPzPXzMbvJipHphExbBzX9z`GyeMxhSvmYsqcc_zf`zibzmbzn\
czqezueyxfvyfu0`HGVSYQbpMmzHvzMizQ_zVNz_Czc0zf0neK\
Tcn8bz8fz8kz8px8uq8ykXnfscbzVYz_epbkcfqQixEnz1mzGp\
pSuYeyGqz0zzn`z`0zP0zM0zJ0zG1zC3z9MzEczJuzN`zGbzPc\
zYczfezpfzyfzz_zzTzuMznGzh9zb6zz4zz1zz0zz4zz9zzCzz\
HzyKzvPzsSznXzk_zhczcfz`kzYnzVTzb9zhEzfHzfKze }
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.
