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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's fractal "A Fractal Heartache" and rated it a perfectly average 5 on my 0 to 10 scale of fractal worth. Like several other recent FOTD names, this one was invented without a logical reason. The eight olive-colored elements around the midget are shaped vaguely like hearts. I guess that kind of justifies the name. The formula that created the scene is Z^(-31)+Z^(1.1)+(1/C), a formula that draws a most unusual fractal -- so unusual in fact that I'll probably be returning to it often in the days to come. And speaking of days to come, I must report at this time that I will be taking a long-overdue vacation the week of September 17th to recharge my fractal and philosophical batteries. Consequently, the next FOTD after Sept. 16th will appear on the 25th. Today's parameter file runs very fast -- under a minute on most machines -- making the download of doubtful benefit timewise. But for those who would still wish to download the GIF file of the image, that file may be found on Usenet at: The fractal weather today was just about perfect for late summer, as sunny skies and a temperature of 86F (30C) made conditions ideal for both the beach and the fractal cats. The cats showed approval by romping in the yard and getting into a friendly tussle. As mentioned above, the philosophical wisdom is in a lull, and will likely remain so until after my vacation, which I will spend somewhere on the rocky coast of Maine, pondering mysteries both large and small. But the vacation is yet a week away. Right now it's 11:40pm and time to shut down the fractal shoppe for another day. I'll return tomorrow, same time, same place, with another fractal to amuse and delight. Until then, take care, and the fractals are on the pond. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_FractalHeartache { ; time=0:01:01:11 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip
center-mag=+0.42749157823690570/+0.34588399984016330\
/9.020437e+008/1/-17.499 params=1/-31/-1/1.1/0/0
float=y maxiter=275 inside=0 logmap=25 periodicity=10
colors=000120000010660BB0IF0NK1TP4_T9dWDkaGofKvkNznQ\
xl_qlqqlynlzklziizggzfdzfbyd_zbYtbVraTI_QB_P4qg2zt1z\
fLzWbzT_zWWz_TzdQzgNzkKznGxgFvaFrVFqPFoLGoIGnFGnBGl8\
Il4Ik1Ik0Ik0Il0Kl0Ll0Ll0Nl0Nn0P<2>n0Rn0Ro1To1V<2>o1W\
z6Qz9KzDFzBDzBBz99<2>z84z82z82z61z60z40z40z40z20z20z\
20z2Fz2az2xz2zzDzzLzzTrzQt<3>zDtz9tz8tz4vz1v<3>z0vz0\
vz0r<2>z1nz4lz8i<3>zLbzPazLfzKizInzFqzDvzBy<2>z4zz2z\
z1z<3>z0zz0vz0qz0lz0iz0dz0_<2>z0Nz0Iz0F<3>z0Lz1Nz1Nz\
2Pz4Qz6Rz8Tz9Vz9VzBazDgzFlz8iz1fz0dz4YzBTzIPzQKzWFzb\
8zi2zk0<3>zk0zk1zdBzVKzLRz9az0iz0q<6>z0fz0dz0b<2>z0Y\
z0Wz0Wz8izFvzNzzTz<3>zfzzizzlzzozzozznzzlz<7>zkzzkzz\
kzzkzzkzzlzzkzzfzzbzz_yzVqzRizPbzLVzGN<2>z61zG6zQ9z_\
FzgIzkNzkQzkVzkYzkVzkTzkQzkP<5>zkBzk0zk0
}
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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