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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: After a hectic holiday, (It's labor day here in the USA.), I've just enough energy remaining to write a brief description of the puzzling fractal I found today. Actually, I didn't find the image -- the evolver found it. I simply tweaked the colors a bit. The image was calculated by the MandNewt07 formula, which is number seven in my series of 12 Ikenaga variations. I named the image "A Fractal Puzzle" because I don't know what the Ikenaga function is good for other than making fractals, and also because of the puzzling mixture of smoothness and chaos. The finished product rates a perfectly average 5. At 10 minutes, the parameter file is a bit slow. Downloading the image file from: The weather today at Fractal Central is also a puzzle, since I was out of town most of the day, but in northern Virginia it was partly cloudy and 87F (30.5C), with a heavy shower in the afternoon. I had no time at all for philosophy today. That may come tomorrow. Check then to see. Until next time, take care, and keep your fractals in line. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Fractal_Puzzle { ; time=0:10:45.05 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=mandnewt.frm
formulaname=MandNewt07 passes=1
center-mag=-33.0432/23.4066/0.1432514/1/117.499
params=-4.7737/-0.2798/-4.0249/0.5538/1.9384/0.164
float=y maxiter=300 inside=bof60 periodicity=10
colors=000101300903D06I09O0CS1FX3Ia6Lf7OiAPlCQrFXyI_\
zJa<2>z`fzfgzjgzpizvjzzlzzmzzm<3>zz_zzXzyTuvXpu_lsaf\
rdapgYojTmmOjpJisFgvAfy4dz0cz0az0`z0Xz0Tz3Qz6OzALyDI\
xIDvLAsP7rS4oX1m_0lY3oX7pVCrTGsTJvSOxQSyPXzP_zS`xV`u\
Y`p_`ma`id`ff`ai`_l`Vm`SaFVQ0X<3>90F40A006001407A0DG\
0IM0OS0SY0Yc0ai0go0ls0mv0my0o<2>z0pz9gxO_raQlpImY0lX\
1jV3iT6iS7gQ9fPCfODdMGcLIcJJaIM`GO`FPTIQMJQGLQ9OS3PS\
0QS0SS0PT0MT0JT0GV0DV0AV07X14X31X40Y60Y70Y90_A0_A0_0\
dY9dJOd4ad0MVJ6Ll0Az0Fz0Iz0Lx0Ps0Sm0Vg1_c1aY3dS4iO<3\
>Av1Cy0Cz0AzD9z_QmffOmgPiiPdiQ`jQXlQSlSPmSLoSGoTCpT7\
pT4oP7oLA<2>pS6pV4pY4p_3pa1<2>pi0pl0pm0pp0pr0jo1<2>X\
gOSdVOcaJ`iDYp9Xx4Tz0Sz1Pz3Ms4Jj4Ga6DT7AL77DCCCGGAJJ\
AOO9QQ7VV7YY6aa4dd4ii3ll1pp1ss0xx0zz0<3>zl0zi0zd0za0\
z_0zV0<3>zI0zF0vL3oQAiXGX`LLdPu`DzdDziDx`AmS9dL7VC4M\
43
}
frm:MandNewt07 {; Jim Muth
z=c=(pixel*p1):
a=z^3+(c-p2)*z-c
b=3*z^2+c-1
z=z-p3*a/b
.000000000000000000000000000001 <= |a|
}
END 20.0 PAR-FORMULA FILE==================================
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times.
