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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal came about when I combined 10 parts of Z^(0.05) with 0.2 parts of Z^(2.6) and added C. This formula creates a parent fractal that resembles a distorted Mandelbrot set surrounded by a bit of extra debris. Today's image is located on the northeast shoreline of the main bay of the parent fractal. The image is unusual in that, even though it is not 'evaporated' very little of it consists of outside stuff. The background is all 'bof61' inside fill. The outside stuff appears as the dark patches scattered through the image and the narrow bright green band outlining the central midget. In keeping with the trend of late, I gave the image neither name nor rating. But it is certainly worth a look, and the calculation time of 2-3/4 minutes makes that calculation a swift task. For even greater convenience, the completed GIF image is posted for easy viewing on the FOTD web site at: A cloudy day here at Fractal Central on Sunday ended in a snow shower that dropped 1-1/2 inches or 4cm of snow. The fractal cats watched the flakes fall for an hour or so, then forgot the outside and remembered their evening treat. My day was busy but not so busy as Saturday. If all goes well, the next FOTD will appear in 24 hours. Until then, take care, and which is the most trustworthy fractal? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Jan_29_07 { ; time=0:02:48.19--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident
center-mag=-8.90807370189119400/+0.378013709470533\
30/257204.9/1/-47.5/-2.20100477517359838e-007
params=10/0.05/0.2/2.6/0/0 float=y periodicity=10
maxiter=1600 inside=bof61
colors=000fZBeZBeYBdXBdWBdVBcUBcTBbTmbSBaRBaQA`PA`\
OA_OA_NAZMAZLAYKmYJAXIAXIAWHAWG9VF9VE9UD9UC9TCmTBm\
SA9S99R89R79R79S88S88T88T98U98U98V98VA8VA8WA8WB8XB\
8XB8YB8YC8YC8ZC7ZD7_D7_D7`D7`E7aE7aE7aF7bF7bF7cF7c\
G7dG7dG7dG7eH6eH6fH6fI6gI6gI6hI6hJ6hJ6iJ6iK6jK6jK6\
kK6kL6kL6lL5lM5mM5mM5nM5nN5oN5oN5oO5pO5pO5qO5qP5rP\
5rP5rP5pQ6oR6nS6mS7lT7kU7jU7iV8hW8fW8eX8dY9cZ9bZ9a\
_9``A_`AZaAYbBWbBVcBUdBTdCSeCRfCQgCPgDOhDNiDLiDKjE\
JkEIkEHlFGmFFmFEnFDoGCpGApG9qG8rH7rH6sH5zH4zIzzIzz\
IzzHzzzzzzzzzzzzzzzzzzzzLzzLzzL6zM6zM7qN7pN8pO9oO9\
oOAnPAnPBmQBmQClRClRDkSDkSEjSEjTFiTGiUGhUHhVHgVIgV\
IfWJfWJeXKeXKdYLdYLdYMcXNbXObWPaWQaWQ`VR`VS_UT_UUZ\
UVZTVYTWYSXXSYXSZWR_WR_VQ`VQaUQbUPcTPdTPdSOeSOfRNg\
RNhQNiQMiPMjPLkOLlOLmNKnNKnMJoMJpLJqLIrKIsJHrKIqKI\
pKJpKJoKJnKKnKKmKKlKLlKLkKLjKMjKMiKMhLNhLNgLOfLOfL\
OeLPdLPdLPcLQbLQbLQaLR`LR }
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 PARAMETER FILE=========================================
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times.
