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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The midget in today's FOTD appears to be peeking through a forest of foliage. What better name than "Fractal Foliage" could be given to such a scene? The parent fractal of today's image consists of three circles, the whole thing surrounded on the west side by a series of concentric arcs. Today's scene lies deep in the outermost arc on the southwest side. The expression that created the parent fractal is so whimsical that I'll not bother repeating it here, but for those who are interested, the parameters are given in the parameter file that appears at the end of this discussion. The render time of just under 7 minutes makes a download of the GIF image file the wiser choice. That download may be found on the Usenet group: If the FOTD web site is not working as it should, contact Paul Lee, who maintains the site. I only find the fractals and write the discussions. And speaking of things to discuss, we have the fractal weather in particular. It was another perfect day here in Fractal Land. The sunny skies and temperature of 81F (27C) were ideal for cats and their pet humans alike. The philosophy is still brewing, though an eruption is still a number of days in the future. But keep in touch; you wouldn't want to miss the excitement when the eruption inevitably happens. A glance at the wall clock shows that the time has come to shut down the fractal shoppe and call it a night. Until 24 hours from now, take care, and perhaps the best thing of all about fractals is that they're absolutely free. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Foliage { ; time=0:06:50.51 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-8.938876274351706/-9.976549500589202/452\
.3876/1/-79.999 params=-11/-1.1/-1.11/-2.222/-0.9/200
float=y maxiter=1800 inside=0 logmap=98 periodicity=9
colors=000S0SvAuo7rg3o`0mS0jL0gD0d60cC0dI6fMGgSQiX`j\
aYlS`piSilPfo9cp0al0di0gf3jc6m`Fo_FfYT_XTQV_JT`CSg3Q\
g0Qv0IzC9zY0zF0z00v0<3>0T00M00G0DFMTFgiFzcDv_CoVCgQA\
`L9TG9MC7F777<2>FGfIJrJLz9Lc0LF0L00O30QD0TO0XY0_i0as\
0dz0gz3da6a09f6AjCDoIFsOGvSP0iQQXQzLMrJ<3>AGD77CFYFM\
vGJpTGlfDgso07j71<2>as0<3>mg1pd6sc9mQPgFcc3rY6rT9sOC\
sIFuCIu7LuDOvIPxMQxTSy`TzgVzoYzz_zz`zzazvczzdzyizylz\
xoxxruxurvxpvzmvzluzjszj<2>oximxilvgjvgiuggsffsfdrfc\
pdapd`od`odapccpccpadradr`fr`<2>gs_dma<3>YVmXQpTLrSG\
uQCxO6zM1zL0zJ0zL0vM7lOFaPLSQSIS_7Sd0OV7LMGGDPD3_90g\
60p70r71s99u9Iv9PxAXyAczAlzCszCzzCzz<3>PzzTzyXzx_zva\
zufzs<3>szmvzlyzjzziszgjzgczfVzfMzfFzd6zd0zd<3>0zj0z\
l0zl<2>0zp0zr0zr<2>0zv0zx0zx0zs4zo9zjDzfIzcMz_QzVVzQ\
YzOPzGGzA7z40z00z00z01z46zACzGIzMMzSSzY
}
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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