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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: After a busy Thanksgiving day holiday, I have little time for notes, though the fractal for today is notable. The iterated formula behind the image is -15Z^(-1.15)-Z^(-11.5)+(1/C), another totally whimsical expression. I named the image "Liquid Mandeloid" when I noticed that the entire image appears as though it were reflected in a rippling pool of water. Having named the picture, I studied it a moment before deciding on its rating of 6. With a render time of almost 47 minutes, the image is quite slow when drawn from the parameter file. But impatience may be avoided by downloading the pre-rendered GIF image file from the internet, where it has been posted to: The fractal weather today here at Fractal Central was cold and sunny. The afternoon temperature of 34F (1C) was far too cold for sensitive fractal cats to be out of doors. They spent the day as usual by the radiators. That's it for tonight, but I'll be back tomorrow with fractal and notes. Until then, take care, and could a race that had never developed vision be familiar with the Mandelbrot set? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Liquid_Mandeloid { ; time=0:46:27.52 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.71630165554769200/-0.94733691371325090\
/3.034843e+008/1/180 params=15/-1.15/1/-11.5/-2/500
float=y maxiter=3600 inside=0 logmap=364 periodicity=9
colors=000REEUFFWGGdHH<3>KMMFOO6PPAQQCRR<2>MVVPWSSWR\
VYPYYO`ZLc_Jg_Hi`Fm`EobBsbAvc7zd1xc6vcArbEobHmbHibFh\
bFjbEkbEmbCn`C<3>s`Bt_Bv_Aw_Ax_At`Br`Co`E<2>h`Ge`Hc`\
J<3>U`MR`MP`OM`PK`QJcOH`QG_RFZSEWVCVWBUYAR_8Q`7Pb6Oc\
5Le4Kg2Jh1Gj0Fk0Em0Cn<3>5Bi6Ah7Ag8AeAAdC6bBAcBCcBFcA\
HcALcAOc8Qc8Sc8Wd7Zd7`d7cd6gd6id6kd1qg6nd<2>HjZkiWPh\
VtgSWeRtdPdcMx`Li`JzYGnZFwYCsWBvVBxUBwUBvSBsSBrRBoRB\
nQBmQBoOFqLHrKLsHOtFRvEUwBYxA_y7cz5ez4iz1kz0oz0rz0vz\
0xz0wz2w<3>zHwyLwxPwxUw<3>shwrkwqowoswnyzowwovsqtqqs\
mrqirogrncsm`sjYtiUthRvgOvdKvcH<3>xY4yW1yV0yU0rV0<3>\
U_KO`PMbEHcU0d07eFLgUZhh_ii`ji`kibmi<3>eriesigti<3>j\
yijzikziozkkziizggzddzb`z_ZzYWzV<3>LzLJzJGzGCzE<2>5z\
60z52z45z4<5>Gz4Hz4Kz4Lz4Oz4Pz4Rz4Sz4Vz4Wz4RzCMzLGzQ\
JzSKzUMzV
}
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.
