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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Do leeches come in swarms? I don't know, but if a group of giraffes is called a tower and a group of crows is called a murder, why can't a group of leeches be called a swarm? Yes, I realize that a group of blood-sucking leeches is not the most artistic fractal thing in the world, but it is different, and when I saw today's curious image, I couldn't help but seeing a midget surrounded by clinging, sucking leeches. That's when the name "A Swarm of Leeches" came to mind. The iterated fractal formula that drew the image is another of my whimsical ones: Z^(-sqrt(2))+5Z^(sqrt(2))+C. Like the parameters I use with most of my M-Mix4 formula fractals, the parameters of today's image were chosen basically at random. I simply turned off my brain and put my fingers on automatic. (Not that it made much difference.) The parent fractal of today's scene is a small Mandeloid that is eroding at the edges. I found today's scene in the northeast corner of the main bay, deep in a very loosely wound spiral, somewhat away from the area that is disintegrating. Other parts of this fractal appear quite promising; I may be looking further into it in the near future. At just under 10 minutes on a Pentium, the parameter file is a slow one. But relief for irritation may be found on Usenet at: The fractal weather today was partly cloudy and quite pleasant, with a temperature of 84F (29C) which made the cats happy. A sudden short but torrential shower at nightfall brought the day to a cool and satisfying close. The philosophy is once again stirring, so all you fans of the fantastic philosophical pontifications won't have long to wait. As for me, I'm going to take a few minutes to check other parts of the fractal that contains today's image. And then I'm going to shut the place down, feed the cats, and call it a night. Until tomorrow, take care, and leeches might be repulsive, but every one of them is a sucker. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Swarm_of_Leeches { ; time=0:09:49.14 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.03234114002211268/+0.0758542959983652/\
1.416931e+008/1/-25 params=1/-1.4142/5/1.4142/-0.83/0
float=y maxiter=900 inside=0 logmap=106 periodicity=9
colors=000KXoKXo<3>HTgGSeFRdKQbPP`<3>h9Sj0P<3>oLSpQS\
rVT<2>uhVujVtkVrjSphQ<3>eXFcUC`RA<2>SJ0SI2SI3<10>DJG\
BJHAJI<3>5JM<8>bVWfWXjXYmZZ<2>zb`<18>RKsPJtNIu<3>GEx\
<3>KSbLWYMZSNbNNeI<2>cg`ihfpgn<12>amP`nN_nL<2>XpFWpD\
UsD<12>eNBfLBgIB<2>jBBk8Bj5A<14>kGOkHPkIQ<3>kKT<3>op\
PtyO<8>SrRPqSLpS<2>CnT9mT4nU<11>PjIRjHTiGViFWiEYhD<3\
>dj9fk8gk8<9>jpHjqIjqJ<3>ksMdtcZtc<3>dvcfwcgwbixa<3>\
ozSpzQozR<8>mzUGzd
}
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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