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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's rare that I stumble upon something entirely new in the world of fractals, but today it appears to have happened. I named today's image "Anti-Minibrot" because that's what it is. The image is exactly the opposite of a minibrot. Instead of growing larger as the center of symmetry is approached, the iteration count grows smaller. And instead of the expected 2...4...8... sequence of symmetry as we near the center, we have an 8...4...2... sequence. The backwardness is immediately noticeable in the reverse direction of the color cycling. Instead of visualizing today's image as the expected bottomless pit of a minibrot, we must see it as a mountain peak. The rating of an 8-1/2 reflects the mathematical interest of the image and includes 1/2 point for my coloring effort. Its artistic worth alone is closer to a humdrum 5. I have not yet had a chance to open my P4-2000mhz machine dedicated to fractals to see why it will not start, so today's image was created on the P200 unit with the broken exhaust fan, which served the fractal world faithfully for over 10 years. The 4-1/2 minute calculation time on the older machine would be closer to 1-1/2 minutes on the 200mhz unit. However, calculation time is of no consequence for those who view the finished image on the FOTD web site at: Cloudy skies, cold rain with a few wet snowflakes mixed in, high winds with gusts to 50mph 80kph, and a temperature of 41F 5C allowed the fractal cats only brief periods of comfort on their TV seats in the side window. They complained, but were silenced by several treats of half-and-half coffee creamer. My day was appropriately busy. The next FOTD will be posted in 24 hours. Until then, take care, and if nothing is real, then everything is an illusion. Since I am included in the set of everything, what is having the illusion that I exist? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Anti-Minibrot { ; time=0:04:24.63--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 maxiter=2000 periodicity=10
center-mag=+29.20416304833718/-1.333596074674975/1\
.586862e+009/1/70/0 float=y passes=1 inside=0
params=3/100
colors=000zzz_UdbUc3slHtlVulhvlwwknsFlzIac`SIrQRmP\
_hNhdMq_LyWQsUVmT_gSdaRiWQnQPsKOwENmDTdCZVBdMAjC9p\
39u9BiFCYKDNNKJQQFSWBVb7Yh3_n0Wk1Th2Pf2Mc3J`4FZ4CW\
59U5EOBJJGOELPKJPQHPVGQ`EQeDQgBQjAdX6fV5gT5iS5jQ5l\
P5mN5nL5pK5qI5sH5tF5uE5nL7hR8aY9WcBPjCJpDLmENkEPhF\
RfFTdFVbGY_G_YHaWHdTIfRIiOJkMJmKKpHKrFLuCMVQC3c15`\
38Y6BV8ESBGPDJMGMJIPGLRDNUAQX7S_4V_7U`BT`ISzzQzvPz\
rOzmNzhLyeKxdJtfHlgKcgNafQ_cTZ_WXXZRVXQSVNQUGQO9PM\
2OL2P63Q64R75T76W87Z88a89d9Ag9BjAJj`RkcRjfQieQhcPg\
aPfZOeVNcQM`QKYPIVPHSOFPODMNCJNAGM8DM7AO57R33U7GVC\
HYHI`OJcSKfXLf`MfcMfdLfcKgbJaaIW`MWWQXSUXNYYIaZEeZ\
9i_4m`6mZ8nXAoUCpSEqPGqNIrLLsINtGPuDRuBTv9Vw6UsATo\
ESkIRgMQcQP_UOWYNSaMOeLKiMOkOTmQYoSbqUgsWlvUkvRjuO\
itMhsJgrGfrDeqBdp8co5bn2am4al6aj8ahA`gD`eF`cH_bJ_`\
L_ZOZXARCASFAUIAVLAXOAZRA_UAaXAb_AdbAfeAghAikAkoDg\
nGblJYkMTiOTiQThTTgVTfYUe }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
