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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I'm a bit busier today than I would prefer to be, so the discussion will have to be relatively short. Well, we don't have the third FOTD in a row that rates an 8, but today's rating of 7 comes pretty close. The formula takes Z^(-12.5), adds 10 times as much Z^(-1.25), then adds (1/C), to create a fractal with more convolutions than a government bureaucracy. This parent fractal is indescribable, but contains many bays and valleys. Today's midget is located on the shoreline of one of these valleys, in an area with elements that resemble those of a Julia set. This area would never be expected to hold midgets. I looked there only because I often look for midgets where none are expected. The unusual appearance of today's image is a result of setting both the inside and outside to <fmod>, with a proximity of 1. The name, "Honeycombed Midget" has little relevance to the image. The name was given to an earlier version, and carried over to the present version because I like the sound of the name. The parameter file renders in 8 minutes on my outdated machine. The already rendered image downloads in less time from: The fractal weather Wednesday here at Fractal Central was like mid-summer, with blue skies, fluffy white cumulus clouds, and a temperature of 75F 24C. The fractal cats, who enjoy summer, were happy all afternoon, even in the shade of the holly trees. Their only irritation came when the day ended early, but these are the shortest days of the year here at latitude 39N, and the sun is gone by 4:30pm. And I had better get going on the day's work if I hope to have it finished by the time this shortened day ends. Until next FOTD, take care, and what will tomorrow bring? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Honeycombed_Midget { ; time=0:07:55.82--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.87898498897471100/+0.564898033124445\
90/10315.45/1/32.5/2.26459337393514204e-011
params=1/-12.5/10/-1.25/0/525 float=y maxiter=1200
inside=fmod proximity=1 outside=fmod
colors=000tKCtJCtHCsGCsEEqGCqGEpGEpGFnGGnGGmGHmGJl\
HJlHKkHLjJEhKFgLGfMHdOJcPKbQLaSN_TOZUPYWRWXSVYTT_V\
S`WR`YP`ZO`_O`aO`bO`cO`dO`fP_gO`hO`jO_kO_lOYlNYkNX\
kNXkNWjNWjNUjLUhLThLThLSgLSgLQgKQfKPfKPfKOdKOdJMcJ\
McJMbKMbKMaKM_LM_LMZLMYNMYNMWNMVOMVOMTPMSPMSPMRRMP\
ROPROOSONSONSOLTOKTOKTOJVOHVOHWOGWOFWOFYOEYOCYOCZO\
BZO9ZP9_P8_P7_P7aP5aP4bP4bP3bP1cP1cP0cP0dP0dP0dP0f\
P0fP0gQ0fP0dO0dO0cM0bL0bL0aK0_J0_J0ZH0YG0YG0WE0WE0\
VD0TC0TC0SA0R90R90P81O61O61N51L53O61O61P81P81R91R9\
1SA1SA1TC1TC1VD1VD1WE1WE1YF1YF1YF1ZF1ZF1_F5_FAaFFa\
FKbFPbFUcFZcFceFceFcfFcfFcfFcgFchFciFciFcjFcjGckHc\
kIclJclKcmLcmMcnNcoOcpPcpQcpRcqScrTcsUcsVctWctXcuY\
cuZcv_cw`cxacxbcyccxdcyeczfczgczhazi_zjYzkWzlUzmSz\
nQzoOzpMzqKzrIzrUzrEzqCzpAzo5zn3zm4zl4zk4zj4zi4zh5\
zg5zf5ye5yd5xc7xb7wa7w`7v_7vZ8uY8tX8sW8rV8qU9pT9oS\
9nR9mQ9lPBkOBjNBiMBhLBgKC
}
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.
