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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's image we continue investigating the fractals that result when the numbers pi and epsilon are used as exponents of Z. In today's case 200 parts of Z^(pi) are subtracted from 200 parts of Z^(epsilon), then 1/C is added. This operation produces a large open fractal filled with debris. The eastern end of this fractal has Mandel characteristics, with a bud and a stem extending east along the positive X-axis and terminating in a flower-like feature. Smaller lightning-like side-filaments radiate from this flower. Today's image is located on one of these filaments. To be more accurate, I should say today's image is located where the filament used to be, for the image is another one that has been evaporated by an immense bailout radius and made visible by the bof61 inside fill. (In yesterday's discussion I mistakenly wrote that the image was rendered with the bof60 fill. I should have written bof61 fill.) Fans of clever titles will once again be disappointed. I have once again neglected to name the image. The phrase "UnNamed Fractal-III" that appears in the head of the parameter file should be considered more of a catalog entry than a name. But named or not, the image is well above average. The 6-minute render time requires just about the right amount of effort that should be required to see the image. Of course, those who prefer their images 'on sale' will be able as always to download the pre-rendered image from one of the FOTD web sites. Paul's site may be accessed at: Tuesday was partly cloudy with a high temperature that just reached freezing, making the dynamic fractal cats partly happy. When they rest on the porch, they prefer sun, especially when the temperature is chilly. Unfortunately, the sun will not rise above the evergreen holly trees for almost a month yet, so I suppose the intrepid ones will be disconsolate for a few more weeks. This morning is cloudy with showers of ice pellets mixed with freezing rain -- certainly not the kind of weather that will make the cats happy. I'll find my consolation when the work is finished and I can tackle the real task of the day -- finding tomorrow's FOTD. Until then, take care, and what could be worse than a day without fractals? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
UnNamedFractal-III { ; time=0:06:05.09--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.25714998352473700/+0.025876131429569\
72/9.260188e+010/1/-90/3.88578058618804789e-016
params=-200/-3.14159265358979/200/-2.7182818284590\
5/0/1e+100 float=y maxiter=400
inside=bof61 periodicity=10
colors=000Lc0z60zA0wC0qG0kH0eL0ZN0aA00000z0Ci0aE0z\
00a2EELW0ek0Zf0Ue0Nc0Ja0EZ08Y02W00006J1EC4J48S0CY0\
8S04L02H00C00800200000400801002G06J08N0CE0E60G00J0\
0L00N00P0040A00z00S00W00n00i00i00u00Z00E0000000000\
GJ0er0UZ0ZkUPS0HN0000AG06C048XUCGYHSkLcyPmzUczYUza\
JzcAzf1zk0zm000AziJyiUufcnemkeweczacfJ0cC0a60Y10W0\
0S00P00N00Z00kA0wS0zf0zW0zJASW10e01L0H20Z00n00m00k\
04000f0ae0qc0za0ze0zf0uk0im0Wq0Hs46wA0yE0cN4HWSGN6\
EG060G10f20S20C400400400H00W01i0Hw0Yz0nz0z000U0z20\
zE0zN0zY6zfEzqLzzUzzazCzzza0zZ0zY1zWCuWNqUZmSkiSwc\
JnYCfS4ZL0SG0JA0C404000E04U0CiEJwUSsf8qu0nz0Yz0Hs0\
1k00c10Y60U40S20P10N02L00nz0uu0ym0ze0zW0zN0zG0z80z\
01w08i0EY0Hc0Ji0Nn0Pu0Sz0Zs0ek0kc0sW0yN2zGAzAGeA0A\
A0z0knAccJWSUPHcH6nA0y40z00z0NZZz0zz0zz0zz0zz0zz0z\
q0ze0yU0uH0q60m00kPzazzL088zk0uY0NE00600A00C00E00G\
00H00J00L00N00S04U0AY0GZ0 }
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.
