Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal image is one of those rare ones that rates a 9. But once again I have only a few moments to write about it. The image results from a critical combination of Z, 1/Z and 1/C. I named the picture "A Fractal in Paradise", mostly for whimsical reasons. The rating of 9 is an honest appraisal of the image, which IMO is exceptional. An added bonus is the relatively brief 12-minute render time from the parameter file, though a download of the GIF image from: The fractal weather today here at Fractal Central was sunny but brisk, with a temperature of 57F 14C. These conditions pleased the cats, and the cats showed their contentment by sleeping peacefully. Thomas, the oversized yellow-orange one, interrupted his rest long enough to come visit me for a scratching under the chin which he repaid by giving me a brief purr. Tippy, the tabby, having much sleep to catch up on, had no time to get scratched or purr, and slept through the entire afternoon. Even as I write these words, I see work piled on the table across the room, waiting to be done. I'll start by scanning the envelope of photographs. Then, when the day's tasks are completed, I'll boot the fractal computer and return to the world of fractals. Until I reappear in 24 hours, take care, and never surrender hope. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
AFractalInParadise { ; time=0:12:23.20--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.50122497628874820/+0.027870570081222\
95/947845/1/-155.000000005278793/1.086948586692670\
91e-009 params=-1/-1/-1/1/-0.012/2 float=y
maxiter=900 inside=0 logmap=260
colors=000rK0lTTlTTlTSlTQlTQmXSoYSp`TraTsdVufVugXv\
jXxlYyoYzp_zs_zu`zvaxubsucoucjscfscascYrcTrcPrcLpc\
GpcCpcFmcIl`LiYOgVPdSScPV`MY_J`WLaVMaRGaRCUS6ZM1YN\
0YK0YK0dR1fUGgdVijijtxjzzfszamx_irVclQ_fOU`JQVFLPC\
GJ7CD4771C60F40J30O30S10Y00a00f00j00o00c74cIDcSMca\
TcjQUdPc_MQTL_OIiIGrCDz6Cz0Gz6LrCOiGS_MVQS_IXa7af0\
gi0lm0cp6VsDMvMDyT4z`0sX0lS0dO0`P0YQ0VQ0SS0OS0LT0I\
T1FV3AX47X64Y61Y70_90_A0`C0`C0XA0T90Q70M63J46G39C1\
A90D60G10J00M00P00S00T00JQ49zGAzICzICyIDxIFvIFuIGs\
IGrIIpIJoIJmILlILjIMTLOCOP0QQ0SQ0SQ3SQ6SQ7SQASQDSQ\
GSQJSQLSQOSQQSQTSQVSODaM0jQ4cVCYYJQaQLfYFid7ml1pr0\
dAF_C`VCuY9s`6rc4pf1og0mj0lm0jp0ir0il6_fJQ`YGVj7Qx\
0Tv1Vv4Yv7_v9`vCcvFdvIfvJivMjvPlvQdrM_mJTiFOgCIg7C\
g46g00g04iA7jMClYFmjJovMpzSryXspaugfv``yaXzaQzcMzc\
GzdCzd6zf1zf0zfGzYYzPozGzz9vzIlzQaz_dzXgzVmzipzfoz\
dozcozaozaoz`mz_mzYmzYmzX
}
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.