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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Well, every FOTD can't be a 9-rated one. For various reasons, today's image rates only a 4, which I admit is below average, though not that far below. It's not a very attractive image -- the colors are just not there, and the shapes are humdrum -- but it's interesting to look at, and marginally worth the 26 minutes required to render it on a tired old worn-out Pentium 200MHZ machine. The name "Five Fractal Tori" refers to the five lumpy tori in the image. Tori is the plural of torus, and a torus is the surface generated by a circle rotated around an axis in its plane that does not intersect the circle. In other words, a torus is a doughnut. A quick glance at the image will reveal five lumpy doughnut shapes, one large one around the midget, four smaller ones at the edges of the image. The parent fractal resembles a Mandeloid with its western parts missing. Today's image is located in the northern outskirts of a larger midget lying in a valley on the northwest shore of the parent fractal. The most convenient way to see the image is to visit Paul's web site at: The fractal weather today here at Fractal Central was sunny but breezy and chilly. Not to be denied their fun because of a breeze and temperature of 55F 13C, the fractal cats turned intrepid, and spent over an hour outdoors on the porch. And I'm about ready to turn intrepid by tackling the fallen leaves that are covering the fractal lawn. Until next time, take care, and next time you feel like having a snack, stop in a coffee and torus shop. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Five_Fractal_Tori { ; time=0:26:31.91--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.22508187533713500/+0.931552296611574\
30/1.545399e+012/1/107.501146331564328/-0.01282785\
66080743811 params=-5.4/-6.5/3.6/-2.1/0/300 float=y
maxiter=3600 inside=0
colors=000zfQxfQvfQtdSrdSpdSpdUndUlbWjbWhbWfbYdbYb\
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SrzUrzUtzUtzUtzUvzUvzUvzW
}
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.
