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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today, on the 6th day of the new year, we have a fractal image that rates a 6. The image illustrates a scene in the fractal that results when 3 parts of Z^(-7.7) are added to 3 parts of Z^(-1.9). I named the image "Pebbles on a beach" because of the pebbly appearance of the entire scene. The pebbles are a result of calculating the outside parts of the image with the <tdis> option. (The normal equal-escape-time bands also produce a pebbly effect.) The rating of 6 indicates that when I made the decision of how to rate the image, I saw it as a little above average. Others may see an image that rates less, or perhaps more. The parameter file is a fast one, running in under 3 minutes -- about the same time required to go online and download the completed GIF image from Paul's web site at: The fractal cats disapproved of the weather Saturday here at Fractal Central. The clouds, chilly winds, and temperature of 46F 8C made it just a bit too cold for the cats to lie on the porch in comfort. Instead, the dynamic duo spent the day by the radiators, which because of the milder outside conditions, were warm only a couple hours. A special treat of tuna kept their spirits up during the less-than-ideal afternoon. As for myself, I find that midnight is almost here, and midnight Saturday evening always means a junky old movie. Maybe it will be the original "Invaders from Mars", the movie that started the fantasy about alien implants. If I don't get implanted, I'll return in 24 hours more or less with the next FOTD. Until then, take care, and remain yourself. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Pebbles_on_a_Beach { ; time=0:02:52.13--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.38724524422219000/+0.109032917927422\
10/2.807474e+011/1/-164.999214267169691/0.00166722\
678750666486 params=3/-1.9/3/-7.7/0/0 float=y
maxiter=1800 inside=0 outside=tdis
colors=000xSjuTjjpOfjSafXX`_SXcOSgJMlFIpACu67y13z0\
9v0Fp0Lj0Qd0X_0aT0gO0mI0sC0y60z00z00z00z00z00y00v0\
0s10p10m30j40g40d60a60_70Y70_70`74a7Ac7Gd7Mf7Sg7Xi\
7aj7gl7mm7so7yp7zr7zs7c5Kc5Kc5KTmsYomaoiVTQP77J00T\
43cMIlcXvujzzyzzsvrmwmmo_alPXgFQd6Mc5KT0DP0AS1DVAG\
YJJ`SLc`O_YPTVQPSTmcmFMY9J_4G`0Dc0Ad06g0S00S00S00Q\
10Q60Q91PC3PF4OJ6OM7OP9MSAMXCM_DLaFLdIJiGLiFOgDPgC\
SfATf9Xd6Yd4`c3ac1da0fa0i`0l_0j_1g_6d_9c_C``GY`JX`\
MT`QQaQS`SV_TYYT`VVcTXfSYiQYlO_oM`rLauIuz_zzr0Gz0I\
z0Lz1Mz6PzCQzGTzLVzPYzT_z_azcczgfzlgzrjzpluoo`rmau\
lcxjdzigzgizfjzdlzaoy`rlYuYXyLTz6QzCSzIVzOYxV`u`ar\
fdolglsjgojjilmdlp_msVmvPoyLozFpz9rzFszLurQviXxaay\
TgzLmzDsz4yz0xx3umCrcLoTTlL`iAif0rc0zzg0zi0zl0zo0z\
r0zs0zv0zy0zz0yz0yz0yz3yxCxuLxrVxpcvmlvjuvgzudzydf\
zc9Xi70p41o97lFDiLJfPPcVV``_YddVjjSppPuvMzzJzzGzzF\
zzDzxAzu9zp6yzJozLozOmzPl
}
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.
