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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It was a hectic day here in fractal land today as the effort to consolidate Fractal Central and the Fractal Branch Office into a single location began in earnest. But it was not too busy to find a few minutes for fractal fun. The parent of today's average-rated fractal was created by a very simple formula: 1.03(Z)+1.03(1/Z)+(1/C). Z by itself produces no fractal, and 1/Z produces only a meaningless row of circular disks, but combined in various portions, Z and 1/Z produce some quite interesting Mandeloids. The midget in today's image is located on the tip of an elephant trunk in the east valley area of a Mandeloid that is ready to open into a hyperbola. The features in this area are pinched almost to the point of being disconnected, which is why I named the picture "Pinched-off Midget". It's a very slow image, so I recommend waiting a couple hours for Paul and Scott to calculate it and post it to their respective web sites at: The fractal weather was sunny but chilly for most of the day, with a temperature of 37F (3C), which kept the cats indoors. In the evening however a cloud bank rolled in, dropping ice pellets and light freezing rain. That's it for today, fans of fantastic fractals. Despite the continuing hectic activity, I'll return tomorrow with another fractal. Until then, take care, and fractals always make things better. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Pinched-off_Midget { ; time=1:16:28.66 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-2.93980983411536100/-0.06281557207556004\
/1.09117e+007/1/-132.5 params=1/1/1/-1/0.03/0 float=y
maxiter=12000 inside=0 periodicity=10
colors=000UMT<2>MDT90L<3>DAHECHFEG<2>ILDINDHRG<3>EfO\
DjQCnSCqU<3>Lj`NiaWjZ<2>ukRmSZf8f<2>ayp<2>fYoXXkOWg2\
E0<2>bfe<3>mgG<2>ZLY<8>TCGSBERAC<3>P743bk5ZR7W7<3>GT\
BJSBLSC<2>RQE<7>PTePTiPTl<2>PUwPUzQTy<8>RRyRRyRRy<3>\
RQy<3>OXEOY3N`5<3>LiDLkFLmHb9VRLZFXa<9>cQVfQUhPT<3>r\
NR<3>NKr<4>dc_hgXkkT<3>yzF<6>hYXeU_cQa<3>VAk<7>lPnnR\
opSo<3>xZp<3>iXHfX9VaCJeF7iHv8i<9>_NUYOSWQR<3>NVL<8>\
jTXmTZpT_<3>zTd<3>peUnhRkkPinMgqK`mMUjO<4>ZWd_Tg`Qj\
<3>cEwjRmpcdqa`piU<6>XPT
}
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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