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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Three FOTD images in a row, all rating an 8, is too much to hope for. So I had no hopes of producing another 8-rated image when I sat down for my daily search for fractals this evening. Then, when the day's effort yielded only a 6-rated image, I was not disappointed. But a rating of 6 is still above average, and well worth the 7 minutes required to render the scene from the parameter file. The formula that created the image is totally whimsical -- 1.3Z^(1.3)+0.13Z^(-13)+(1/C). I found the parameters by turning off my thinking (quite an easy task) and letting my fingers roam where they wished. The name "Julia Mandelbrot" came to me as I studied the picture. The pattern around the central midget is that of Julia sets located in the East Valley area of Mandelbrot midgets, yet the midget itself is pure Mandel stuff. The combination inspired the name. The rating of 6 is honest, since the image has too many imperfections for a higher rating. Other than running the parameter file, an alternate way of viewing the image is to download the GIF file from the Web at: The fractal weather today was variably cloudy but so far dry, with a temperature of 77F (25C). The fractal cats must have approved, for they spent much time in the yard, trying to stay out of trouble. Now it's my turn to try to stay out of trouble. It's hard to imagine how I could get into trouble watching a junky old sci-fi movie, so that's what I'll do. Until next time, take care, and take two fractals at bedtime for a good night's sleep. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Julia_Mandelbrot { ; time=0:06:47.82--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-2.485951411296012/+0.00097323098757938\
/3.036155e+007/1/102.5 params=1.3/1.3/0.13/-13/0/0
float=y maxiter=850 inside=0
logmap=-137 periodicity=10 sound=off
colors=000F00J00L00S80WB0_F0cJ0gM1kQ5oU8sZCudHwjLy\
pPzvSzzWozVhvV`qUUjUMdUF_S7US0PS0RR0SQ0UP0VO0WM0YL\
0ZK0_K0`J0bH0cG0dF0eE555555555555555555656757858A5\
AB5BH7APAARCCSFESGLWHKYKUZKUZLR_MR`MS`OFbOEcPCcPC_\
RBWSASV8PW7MZ7J_6Fb5Bc48d4Ac7BbBCbFE`JF`MF_PGZSHZW\
JY_KYcLWgLWiMZcO_ZPbUPcOQeJRgERh8QjAQmAPrAPOAPdAOc\
AOcAObAM`AM`AM_AL_ALZALZALZALYBLWBMWBMVBMUBMUCHeOC\
sZBqY8nW7kU6iS4gR2dQ1bO0_M0YL0VK0UL0UL0UM0UM1UO2UO\
4UO4UP5UQ6UQ7UR7URAYQC`PFdPHhOKkOMoMOrMkHznKzoMzrO\
zsQzvSzwUzyWzzZzz_zzbzzczzeswgjribnjUjkMYnGLoAY00Z\
50ZB5_HB_MG_SM`ZR`cYbibbohbtmWveRv_MvUGvMBvG6vA1v4\
8tHFmLbeOk_QrSSrLVrFYrGVrGUrHSrHRrJQrJPrJOrKMrKLrL\
KrLJrMHkMGeMF_PFRUFRZFRcFRhFRmERrEQrEQrEQrEQrEQrEQ\
rEQrEPrEPrEPrEPrEPrEMrEPrEOrEOrEOrEOrEOrEOrEMrEMrE\
MrEMrEMrEMrEor0nr0nr0nr0mr0mr0mr0mr0kr0kr0kr0kr0jr\
0jr0jr0ir0ir0ir0ir0hr0hr0
}
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.
