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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's discussion will be unusually brief. The reason is simple -- I was in an unusually lazy mood all day. Today's image is a scene in the fractal that results when Z3 is mixed with straight Z and straight C is added. The resulting parent fractal appears as a Mandelbrot set rotated so that its normally west-facing nose faces south and its eastern butt faces north. It has spikes extending straight out from both its nose and butt, and these spikes are littered with interesting bits and pieces of fractal debris. Today's scene is located in a small bit of chaos that lies on the spike extending south from the parent fractal's nose. I named the image "In a Blue Mood" because I'm in kind of a blue mood after the brief return to the place that served as Fractal Central for so many years and the aging cats who were the fractal cats even longer. After not very much thought, I rated today's image at a 6. And most of that rating comes from the (IMO) expert coloring. The calculation time of 2-1/3 minutes is well within reason. Even more reasonable is a trip to view the image on the FOTD web site at: Another perfect day prevailed here at Fractal Central on Sunday, as F.L. and I recovered from the trip back to Old Fractal Central on Saturday to see the old fractal cats Thomas and Tippy, who are still hanging in there after almost 18 years. They are now kept quite happy by my sister, who still serves their tuna treats every evening. Curiously, the old and the new fractal cats have never met, and probably never will. Tippy fights all strange cats first and asks questions later. The next FOTD will appear in 24 hours. Until then, take care, and what came first -- the fractal or the numbers? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
In_a_Blue_Mood { ; time=0:02:21.12-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident inside=0
params=1/1/1/3/0/0/0/0 maxiter=1600 periodicity=10
center-mag=-0.00127303306054411/-1.076075627545789\
00/3.21923e+009/1/92.5/-9.10166470642626013e-007
float=y logmap=439
colors=000J6aK8bLAcMCdNEeOGfPJgQNhRRiSVjTZkUblVemW\
coXbrV`uQ_wLZxGYyBXz7Wv9WrAWmBVkDVhEVeFVbHV_IVXJVU\
LVKMV9NY6QbBUiGcpLjwQcrPUmOKhOBcNC_NEXMGTLHPLJLKKH\
KMDJNAJQBKTBKVBKYBK`CKbCKeCKhCKwDKzUKzUKzUKwCMiCNe\
BPaBQYASUATQAVM9WI9YE8ZA8`68a5Ab5Bc5Dd4Ee4Gf4Hg3Jh\
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GPTIOTJNTKMTLKrGJsHHtHFuI5QS6SR6TR7UQ7VQ7XQ8YP8ZP8\
_O9aO9bO9cNAdNAeNAgMBhMBiLBjLClLCmKCnKDoJDqJDrJEsI\
EtI7W28Y49_59a6Ac7Ae9BgABiBjKSiJQiIOeMMbPL_SKXWJUZ\
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CIO8QY5Yg2eh5fi7gjAhkCilFimHjnKkoMloOliNmcNnYNoSNp\
MMqGMrAMs4MtAKsFJrLHqQGpVEoYDo`BncAmf8li7kz6rzXzza\
zG3Q13S35U47Z69c7BhJCmVChfDcqDZpJaoOdnUgmZjmcmjakg\
`id_gbZe_XcXWaUV_SUZSUZRVYRVYRWYRWXQXXQXXQYWQYWPZW\
PZVP_VP_VFaIOcVOhUOmUOrUNvTNzTNzTNzSMzSMzSMzSMzRLz\
RLzRLzQLzQKzQKzPQz5azImzV }
frm:MandAutoCritInZ {; 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)+(p4)),
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.
