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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Just after 7am this morning, after 5 days of intense effort, our intrepid firemen extinguished the last burning car in the train tunnel that stretches under the center of town. Now it's a matter of inspecting for structural damage to the tunnel, and also the roads, buildings, storm drains, water mains, utility lines etc. above, and doing repairs. We are told that within a month or so, things will be back to normal, and the cross-town roads will once again be passable. Until then, to get from the east side to the west side, it will be necessary to go around, which is nearly impossible because everyone else wants to do it, and there are not enough roads. Considering conditions on the west side, some say this is a good thing. I am neutral. Fractals are far more fun. Today's FOTD image, which appears to have several layers but actually has only one, pictures another midget, this one lurking in the fractal created by the formula: This simple expression creates a fractal that consists of two Mandeloids, a large, relatively undistorted figure, with a smaller figure in its northwest suburbs. The smaller figure is quite distorted. For today's FOTD, we dive into an arm of a star of a bud on the southeast shore of the large figure. Well, we don't actually dive into the arm, we go directly to its tip. Of course, the point of the exact end of the arm exists in a fractal fuzziness, which, like quantum objects, cannot be given a precise location. One can come as close as they wish to the end of the arm, but more precision will always show that it is possible to come even closer. In today's image, I have colored the outside parts with the <fmod> option, an option which, as today's effort shows, I use all too infrequently. The smaller features in the picture remind me of crystals; the large rusty-red background shapes remind me of devils. I therefore named the image "Crystal Devils". I rated it a 7 because I consider it above average. With a render time in the 5-minute range, running the parameter file is not too bad a choice, but in an hour or so the finished GIF image will be available on the Web at: The fractal weather today was typical summer, with sunny skies, a temperature of 86F 30C, and lazy cats. It's now time for me to do some un-lazy work, so until next time, take care, and fractals are just as good as we want them to be. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Crystal_Devils { ; time=0:05:38.12--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.026683029720186/-0.41544346140642/2.\
748383e+008/1/-177.499 params=-1/1.1/1/-0.7/0/800
float=y maxiter=1200 inside=0 proximity=0.0645
outside=fmod symmetry=none periodicity=10
colors=000zhJzhEzh8zoGztLrzTkzZdzPXzIRzAVrNXkZ`dib\
XtfPzhIzdPzbVz`bzZhzXmzZkxZkrZimZihZib`hX`hR`hL`fG\
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0tX0q`0md0if0fi0bk0Zo0Vq0Rt0Nv0Js0Ip0Gm0Ej0Cg0Ad08\
a16`33Y61V80SA0P30M30Jf1G
}
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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