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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal takes us back to the M-Mix4 formula, into the world of negative powers of Z added together with 1/C. The exact expression that was calculated to create the image is -11Z^(-1.2)-Z^(-12)+(1/C). The parent fractal is better seen than described. I might add that it comes in two large but separate sections, one of which contains a 'fan', and is filled with midgets. Today's scene is located in a shallow valley across a wide bay from the edge of the fan. I named the picture "Fractal Textures" when I noticed the unusually textured features surrounding the central midget. I rated the picture a 6 when I decided it was just the slightest above FOTD average, (which is not that high to start). Yes, I realize that the 18 minute render time is slow, so living up to my nickname of 'James the Merciful', I have posted the GIF file of the image to the binary Usenet group: The fractal weather today was once again perfect, with sunny skies and a temperature of 74F (23C); and once again I was too busy to give the fractal cats their customary time outdoors. Forced to satisfy themselves with a mere 20 minutes, they passed the afternoon on their shelf by the window, watching and wishing. However they cheered up quite a bit this evening when I divided a can of tuna between them. There was too much work to allow philosophy this day. I expect little slack until the middle of next week, but the philosophical wisdom is building, and when it finally breaks loose, who knows what may happen. All that will happen now however is that I'll relax for the rest of the evening, and comfort the cats as I watch the telly. Until tomorrow, take much care, and beware of hit and run fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Textures { ; time=0:18:54.21 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.18432119357118300/+0.06072698271933991\
/718007.4/1/-172.5 params=-11/-1.2/-1/-12/0/800
float=y maxiter=1500 inside=0 logmap=146 periodicity=9
colors=000czz`zz<2>XxzVxzTvzSvzQuzOuzMszLszJrzIpzGpz\
FozDozAmz9mz7ly6ly4jy3jx1ix0ix<2>0dj0cf0ac0`_0_V0YQ0\
YO<2>0TA0S60Q30P00O00M00M00O00P00P04Q49Q9DSDGSILTMPV\
QTVVYXYaXafYfiYjm_or`sv`xzazzazzczzczzdzzdzzfzzfzzgz\
zgzzizyizvjzujzslzrlyplxomvmmvlouiosgprfppdrpcrmasj`\
ugYvdXxaTy_SvXPuXOrXMpXJmXIjVGiVDfVCdV9aV7`V6YT3VT1T\
T0QT0PT0MT0LT3MPAMMJOJQOGYTLf_PgdTgjYaraXvfQzjLzoFzs\
7zx0zz<3>0zz0zy0zx0zv1zv<3>7zp9zoAzmCzlDzjFzjCzfAyc9\
x_6xX4vT3uP0sM0sI0rF0pC0o70o40m00l00l00m00o00o10p30r\
60r70s90sC0uD0vG0vI0xL0yM0yO1zQ3zS4zV4zX6z_7z`7zaCzY\
<3>OzMQzJVzF<3>fz3iz0jx6lpAmiGocLpXQrPVsI`uCdv4jx0oy\
0sv0m<2>r0_p0Vm1Q<2>i6Cg77fA9<3>fLAfOAfQCfSCfVCdYDd`\
DdaDddF<3>doGdrGdsGcuFavF`vF`vD_vDYvDYvCXvCVvCVvATvA\
SvASv9Qv9Pv9Pv7Ov7Mv7Mv7OvAPvCQvDSvF<3>TvF
}
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.
