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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD takes us to a world very similar to the world of yesterday's image. This explains the name "Activity-2". The parent fractal is another distorted Mandel-thing with a single large bay and a multitude of tiny budlets. Today's scene is located in the filament of a star connected to a high-order budlet on the northeastern shore of the large bay. The generating formula subtracts 1.2 parts of (1/Z) from Z^(1.2) and adds (1/C). Once again I rendered the image with the outside set to the 'atan' option. In fractals as in movies, the sequel is rarely as good as the original, so today's image rates only a 7, which is still a fine rating, but not quite up to yesterday's rating of 8. The render time I wrote for today's image is a rough average. For some reason, the image never seems to render at the same speed twice. The time has been as short as 6:50 and as long as 8:30. But the exact time required for rendering is unimportant, for the completed image may be downloaded from one of the FOTD web sites at: A light shower fell just after noon on Tuesday here at Fractal Central. It left the grass just wet enough to spoil the fractal cats' outing in the yard. When the rain was not falling, the sky was partly cloudy. The temperature of 88F 31C felt more like 98 (37) due to the high humidity. A heavy thunder-shower moved in after dark, but by then it made no difference. The cats' day had already been spoiled. Today is forecast to be a repeat. No problem however. The cupboard is filled with tuna. But my work shelf is still quite empty. In the unlikely event that this empty-shelf syndrome continues, it could develop into a problem that tuna cannot solve. In any case, I'll return in 24 hours with the next fractal. Until then, take care, but don't forget to have fun. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Activity-2 { ; time=0:07:30.00--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.70588265541529430/+0.874913710082279\
70/7.816022e+010/1/72.5/-0.000115336616405538328
params=1/1.2/-1.2/-1/0/0 float=y maxiter=1200
inside=0 outside=atan periodicity=10
colors=000zmnzmmzmkzmjzmhzmgzmezkdyibygaye_ycZxaXx\
_WxYUxWTySRyOQyKOyHNyFLyDKyCIyAHy8Fy7Ex8Fw8Fv8Fv8G\
u8Gt8Gt9Hs9Hr9Hq9Iq9Ip9IoAJoAJnAJmAKmAKlAKkBLjBLjB\
LiBMhBMhBMgCNfCNfCNeCOdCOcCOcDPbDPaDPaDQ`DQ_DQZERZ\
ERYERXESXESWESVFTVFTUFTTFUSFUSFURGVQGVQGVPGWOGWPFV\
OGWOHXOIXOIYOJYOKZOL_OL_NM`NN`NNaNOaNPbNQcNQcNRdNS\
eMSgMTiMUkMVmMVoMWqMXrMYsLYtL_uLavLcwLexLgyLizLjzL\
kzKlzKmzKnzKozKpzKqyKrxKswNtvMuuLwtKusJsrIqqHopGmo\
FknEimDglDekCcjBaiA_h9Yg8Wf7Ue6Sd5Qc4Ob3Ma1K`3Ia4G\
a6Eb7Cb9CcADcCEdDFdFG0000IH0000LJ0000NL0PM0000SO0T\
PiVQiWQjYRjZSk`TkaUkcVldWleXmgYmhZnwZzw_zm`onaopbp\
qcpsdqteqvfrwgrxgrwhqwhqwhpvhpvhovhoviouinuinuimui\
mtimtjltjltjksjksjksjjskjrkirkirkhrkhqkhqlgqlgplfp\
lfplfpleomeomdomdomdnmcnmcnnbnnbmnamnamnamn`lo`lo_\
lo_lo_koZkoZkpYjpYjpYjpXjpXipWiqWiqViqVhqVhqUhqUhr\
TgrTgrTgrSgrSfrRfsRfsRfsQ }
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.
