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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: FOREWORD -- Is the Philofractal unsubscribe working? Someone (not me) has been trying unsuccessfully to unsubscribe for a week. The length of FOTD discussions is in direct inverse proportion to the amount of work here at Fractal Central. Today's discussion is short, therefore the amount of work is large. The parent of today's image is an oversized Mandeloid with many spurious lobes, and surrounded by a wide field of fractal debris. It needs an outzoom before it all fits on the screen. Today's lurid midget lies on the southwest edge of the debris field. Studying the image, I had the impression of a mighty explosion. What better name to give the image than "The Big Fractal Bang". The fractal explosion might not be as stupendous as the bang that is supposed to have started the universe, but at least it is certain to have happened, while the cosmic big bang is coming under ever more doubt. Undecided about how to rate the image, I settled on a 7-1/2. Perhaps I should change the 0-to-10 rating scale to a 0-to-100 scale. We need finer increments to handle those times of doubt. The 5-minute render time on my lazy 200mhz Pentium will be more like 2 minutes on most current machines. The GIF image will soon be posted on the web at: The weather today here at Fractal Central turned perfect. The blue skies and temperature of 73F 23C made the cats so happy that they spent nearly the entire afternoon in their chairs on the porch, ignoring the shadow cast by the holly trees lined at the south end of the yard. As always happens at the end of a FOTD, I've got to get busy, and the amount of work is large. Until tomorrow, same time and place, take care, and it now appears as though the big crunch will never happen. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
TheBigFractalBang { ; time=0:05:08.14--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-7.67258402556404600/-1.191393684967848\
00/491829.8/1/20.0000000135653906/5.07998232368578\
329e-009 params=-0.79/-3.71/-1.39/-0.78/0/300
float=y maxiter=1200 inside=0 logmap=93
colors=000F00G00I00I00J00L00P00O01U03Q14Z36X47d69f\
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_zzdzz0zz0zzCzzOzz_zzJzzTzzazzXzzazzfzzYzzazzdzzgz\
zLzzGzzCzz7zz9zzAzzCzzDzz
}
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.
