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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is a quickie, as will be today's discussion. A combination of an unexpected rush job and a flooded fractal basement left no time at all for hunting fractals. As a last resort I made do with the first midget I stumbled upon. The formula behind today's image is 0.7(1/Z)-1.25(Z)+(1/C), values I entered entirely at random. After locating the midget, I left the computer to attend to other matters, such as bailing out the basement. When I returned to the screen and saw the finished image, I thought, 'how like a lotus'. I immediately named the picture "Lotus". The parameter file takes 18 minutes to run. The GIF image downloads much faster from: The fractal weather today was cloudy with steady sometimes heavy rain. As a result of the outside wetness, the cats spent the afternoon sulking in the living room. The temperature of 68F (20C) gave no hint that the average temperature at the end of July is around 90F (32C). The philosophy went nowhere, nor is it likely to do much tomorrow, which will be another hectic day. But hectic or not, I'll be here on schedule with another fractal, most likely a midget, and a few words about the picture. Until then, take care, and see you in 24 hours. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Lotus { ; time=0:17:54.95 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.03443851345909527/-0.24455925728354620\
/1.204285e+009/1/52.499 params=-1.25/1/0.7/-1/0/0
float=y maxiter=1800 inside=0 logmap=333 periodicity=9
colors=00000T01Y<3>0DS0GQ0JP0MO0QO0TM0XL<3>0gF0jD0mC\
0pA0s90v90sF1rJ7oPCmTIjYMicSfgLilXdlgals_lzXlxTorQpl\
OsgMuaJxXGyQDzMCzG9zA6z43z01z13z14z36z37z47z49z6Az6C\
z7Dz7Dz9Fz9GzAIzAJzCJz<2>DOz7MzAOz<2>IPzLQzMQzPQzQSz\
TSzXTzYTz`VzcVzdVzgXziXzlYzoYzp_zs_zz`zyYzu_zpQzlJx0\
00<4>000_4i_9f`Cd`Ga`J``OY`QXdVTaTV`TV_TVYTXXTXVSXTS\
XQSYPSYOSYMQ_LQ_JQ_IQ_FQ`<3>9Pa7Pa3Qc4Pa6Pa7O`7O`9M_\
AM_CLYCLYDJXFJXGIVGIVIGTFFF000FFFJGT<2>QPcSSgVXl<2>a\
dvdgzipzomz<2>QdzIgz9gz0gz0gzLivMjsLlpFimMglTdl`alf`\
ljYl<3>iOliMliJliGlgFl<3>g4lg1ld0jg0li3mj6ml9omCooFp\
pIprLrsOruQsvTsyXuz_vzavzdx<3>zpzzszzvzzyzvzgdzMfzP<\
2>jzTlzVlzY<2>pzarzcrzf<2>vzjxzlxzmuzfsz_<2>xzFyz9zz\
1<3>zz0zz0zz1<3>zzDzzGzz0zz7zzJzzTzzdzzr<5>zzazzczza\
zz`
}
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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