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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's 5-rated fractal image we break away from the string of FOTD's that have been rated a 6. Unfortunately, the break is in the less desirable direction, but then one can't have everything. We also break away from the world of the MandelbrotMix4 formula into the world of the MandelbrotBC formula to explore the more remote parts of the fractal created by the very simple formula, Z^(sqrt2)+C. The scene I found is one of the most disorderly of all time, with bits and pieces of fractal stuff scattered around the midget in total disarray, showing no signs at all of an orderly arrangement. The unusually chaotic image is well worth the name I gave it -- "Mandelbrot Mayhem". At just under 13 minutes, the parameter file tries one's patience. Relief for the impatient is available on the Web at: The fractal weather today started cloudy and chilly, but turned sunny and milder at midday. The bright sun and afternoon temperature of 63F (17C) then lured the fractal cats into the yard, where they sampled the new grass. It's now time to shut down the shoppe and call it a night. Until tomorrow around this same time, take care, and one of these days someone will find the ultimate fractal -- but will they recognize it?. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Mandelbrot_Mayhem { ; time=0:12:54.45--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotBC passes=1
center-mag=+0.45672737879421720/+0.492387056367433\
40/1550.388/1/92.5 params=1.414213562373/0/11/0
float=y maxiter=6000 inside=0 logmap=128
symmetry=none periodicity=10
colors=000W`eYei`jmbnqidizMauMUpNQlNMgOJcOF_OCZNDY\
MDXLDWKDWJDVIDUHETGETFESEERDEQCEQBERAIR9LS9OS8RS8U\
T7XT7_T6bU6eU5hU5kS9lRCmPFnOIoMMpLPpJSqIVrGZsFatDd\
uCguQaacXJpS0mQ3jP6gO9dNBaMEZLHXKJUJMRIPOHRLGUIFXG\
EZKG`NIbQJdULfXNh_OjbQlfSniTplVroWtnXomXklYgkYcjY_\
iZWiZShZOg_Kf_Ge_Cd`8c`4c`0fbAhdKjfTfKsiNlkQfnS_pV\
UrYNu_HwbAyd4w_5uV5sR5qM5oI5mK9kLDiMHgNKbLIZKGVJEQ\
ICMGAIF8DE69D45C26D56E86EA7FD7GF7GI7HK8IN8IP8JS8JU\
9KV9KVALVALVAMVBMWBNWCNWCOWCOWHTZLY`PbbTfdRegPdjNc\
mLcpJbsHavFaxHgoJmfKsYGj_Db`AVd7Mg4Ei16k28l2Am2Cn2\
Eo2Gp2Iq2Kr2Ms2Ot2Qu3Sv4Uw5Ww5Yw6_w7aw8cw8ew9gwAiw\
BkwBmwCovDpuDqtErsErrFpqFnoFmoGknGjoGipHiqHirHirIi\
qIiqIiqIiqIiqIiqIiqNjqIiqIiqJiqJiqJiqJiqJiqJipJipJ\
ipJipKipKipKipKipKipKipKipKipKipKipLjoLjoLjoLjoLjo\
LjoLjoLjoLjoMjoMjoMjoMjoMjoMjnMjnMjnMjnNjnNjnNjnNj\
nNjnNjnNjnNjnNjnCilDjmDjm
}
frm:MandelbrotBC = { ; Z = Z^E + C
e=p1
p=real(p2)+PI
q=2*PI*trunc(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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times.
