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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The formula 10Z^(-1.1)+0.95Z^(-11)+(1/C) was iterated to produce today's image. Although the parameters appear quite a bit different from those of the past several days, the changes amount to no more than a simplification of the old parameters. The images the formulas draw remain unchanged. I named today's fractal "A Fractal for the Ages", not because it is so great that it will be remembered through the ages, but because I liked the sound of the phrase. The image is rather striking, with a kind of ceremonial effect that is hard to describe. In my current opinion it rates a 7; tomorrow or next month I may feel entirely different about it. The 5-minute draw time stretches the limits of reasonability. To make things more reasonable I have posted the GIF image to the Usenet group: The fractal weather today was sunny with no rain for a change. But the fractal cats decided that the temperature of 95F (35C) was a bit too warm, and passed the day in the coolness of the air-conditioned Fractal Central. The philosophical ponderings, which have been so conspicuously absent lately, are once again absent today. But anything worth having is worth waiting for, so keep the faith and eventually the enlightenment will come. For now, I'm going to call it a night, close down Fractal Central, enlighten myself into the chair in front of the TV, and see how junky a show I can find. Until tomorrow, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
AFractalForTheAges { ; time=0:05:13.45 -- SF5 on a P200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.7081770276621348/-18.7005721594379/1.8\
84167e+008/1/92.499 params=10/-1.1/0.95/-11/0/400
float=y maxiter=1200 inside=0 logmap=98 periodicity=9
colors=000I8`<2>Q2U<2>446UK7XP7mX8ra8zcEjYJwWPYMUsK_\
mIVrG1<6>S74O64K44<3>50565J69X<3>aUHiZDqc9<4>g_LeZNc\
ZP<2>YXWWWYUTY<3>NJZOMXOOZPS`PX`Q`aQd`RiZ<3>TrUTtTWu\
WYwY`z_<3>izgkzijxi<2>hqihnigmigli<3>dUidPicKicKi<3>\
_chZggYjg<3>UpfTqfTrf<4>JuiHuiFvj<3>8wk<6>JxgLxfMxf<\
3>Sxd<5>Qm_PkZPiZ<3>ObW<2>9WMX48<3>iUJm_MpfPslSvrU<3\
>TdNM`LEYJ0RM7UHbh1<3>DXB6UEKVceWv<3>LT`FSWASQ5RLUQY\
PRVKRS<2>5VJ8WZ<3>3_O2`L1aIsbO<3>BfHDgK6hI0izojq<3>M\
nWEoQ7pLWqM<2>8tHPu5Gv98wDQxPMyN<3>9zJ6zI3zH5z62zBoz\
Y<3>QzPJzMDzK6zIjzY<3>9zJ4zt<3>2z_1zV1zQ0zLWz_<3>AzM\
5zJfvCLzEvz_TzQFze9zj4zn<3>Fzc
}
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.
