Fractal of the Day (FotD) by Jim Muth

FOTD -- April 09, 2002 (Rating 7)

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:

http://home.att.net/~Paul.N.Lee/FotD/FotD.html

or from Scott's site at:

http://sdboyd.dyndns.org/~sdboyd/fotd/

But be sure your browser or server doesn't serve up confusion.

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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