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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Greetings once again from Fractal Central, the half-fantasy, half-real home of the world's most over-and-under rated fractals, and the totally-real home of the world's laziest, craziest cats. Today's fractal offering rates a very good 7, a rating that seems honest, at least at the moment. In a day or two it may seem far too high or low, but I will not know until the time comes and the rating has been fixed in stone. The name fractoid is a combination of the words fractal and android, though I can see nothing human-like in the image with its lilac swirls and beige background. The stripes in the background were created by rendering the scene with the outside set to 'tdis', an option that colors the points according to the distance they peregrinate (I like the word) before passing beyond the escape radius. The parent fractal is a distorted version of the Mandelbrot set, with the buds of the main bay rotated far around the shoreline in a CCW direction. Today's scene is located in a spiralling elephant trunk on the south shore of East Valley. The image takes 17 minutes to render from the included parameter file. That time can be cut drastically by downloading the completed image from Paul's FOTD web site at: The past several days were acceptable here at F.C., with no extremes of weather, no extremes of cat behavior and no further word from Ken. Today is starting as though it will turn into yet another perfect day. But such perfection cannot last long before something goes wrong, so until next time, take care, and don't bet your bippy. You might lose it, and bippies are hard to replace. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Fractoid { ; time=0:17:26.93--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.54306023277118430/+1.408216019104502\
00/3.663052e+007/1/-94.9999918776349119/-3.9243277\
7156226376e-007 params=1/1.1/-1/-1.3/0/0 float=y
maxiter=3000 inside=0 outside=tdis periodicity=10
colors=000SZc`UWiOQrJJzEDyHGwJIuMLrONpQP3ep0hq0js0\
nu0pv0qs4rr8spCuoGumJvkOwiSxhVxfZyeazcezahz`izcjzg\
jyjefezLzWxzzzzrzrzjWhopfjkcfgkcc_ZZXVVVQQTMMQIHOD\
CM87J43PCDVIM`OUfUak_iqeqzozxjzvgzscyq`xpZvoWvmTuk\
QujOsiMshJrgHrfErgHmgJhgMchN_hPVhSQiTMiVHiXCiZ7mVE\
pSMsOTvL_yHfzDmzAszHpyMnwQjuVhr`epecni_knXisUgxSez\
OczMezvczuazs`zs_zrZzq3Gp7IpAJpDMpHOpLPpNSpQUoUVoX\
Xo__oc`ofcohcoffjehgcicck_`nW_oSZqOXrLXpMXoMXnMXkN\
XjNXiNXgOXfOXeOXcOWeSVfUUgXTg_ShcQiePigOjjNkmMmpLm\
rJnvIoxIozHhrHakGVeGOXEHQE9JE3CACH7JM3SQ0ZU8U`HPfP\
LkXGqeCwgHriLokOkmShoVeqZasaZueVwhSykOzoLuaPoPToVS\
oaQphOpnNquLqzJqzIszNvzQxzUzzZzzazzezzhzzkzxnxupvq\
rrnupjwngykcziazgcyeevcgq`hn_jiXkfVnaToZQqUPrQNoVL\
m_IicGghEcmCaq9Zv7Wz5Uz8TzATyDTwETsHTqJToLTmNSiPSg\
SSeTSaVS_XSXZSV`TXaT_cTacTceTffThhTiiTkjTnkTpmTrnT\
uoTvgWu`ZsU`rMcqEfp7hoIch }
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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