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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have rarely seen a fractal so filled with colors. If anything, the name "A Riot of Colors" is an understatement, the effect of the image being one of carnival and merriment. All in all it is quite a contrast to yesterday's depressing image, though both images rate a slightly above average 6. The expression 0.53(1/(Z^2)-2Z)+(1/C), which drew the image, may appear random, but the factors are actually quite critical. The render time of the parameter file is a slow 15+ minutes -- slow enough to cause an irresistible urge to download the GIF image file from: The fractal weather today was increasingly cloudy with a temperature of 52F (11C), which was marginal for the cats outdoor adventure. At nightfall a cold rain accompanied by a little thunder moved in, bringing the day to an inauspicious close. But it's now time to bring my day to an auspicious close. Until tomorrow at this same time and place, when I plan a trip into the fourth dimension, take care, and see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Riot_of_Colors { ; time=0:15:14.13 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.05093424425905903/+0.21086081060670720\
/3504462/1/-92.5 params=1/-2/-2/1/-0.47/0 float=y
maxiter=3300 inside=0 logmap=232 periodicity=10
colors=0003fA3eA<2>y2h<3>oDcmGajI`hL_fNZ<3>oZNqaLsdI\
<2>ymA<9>epAcpAapA<3>VqA<3>`aHaYIbUKdQLeMNfJOjCPn5P<\
5>UJFRMDNOB<3>AX5<8>AkEAlFAnG<3>AtK<3>agv<4>dPbeMZeI\
V<3>g4G<3>WAMTCOQDPNFRLGS<3>zco<4>oacmaal`_<3>d_Rb_P\
a_N<6>ZRZYQ`YOb<3>XKh<2>rtj<8>NPLJMJGIG<3>255<2>mcb<\
3>ShZMjYHkXBlW6mV<3>dRNlMLkQN<4>geTfiVelW<2>bv_by``v\
_<6>RaVPZVOWU<3>ILS<6>``MbbLeeL<3>omI<3>hrIftIduIbvI\
awIdxLfyO<3>nzYpz`rzc<2>xzj<3>_zRUzMOzHIzD<2>Xzj<3>N\
zSKzNIzJ<2>Czp<3>NzqPzqSzq<3>azr6zA<3>4zA
}
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.
