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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to the continuing rush, the discussion will once again be short. But the rush is nearly finished, so hopefully, in the next FOTD, I'll return to the hypersurface (curved 3-D space) of the hypersphere to explain how one might find their way from one place to another. Today's FOTD is not a total loss however, for the image is one of the select few to have rated a 9. The formula behind the image adds a tiny negative portion of 1/Z to a much larger portion of Z, then adds 1/C. The resulting parent fractal is a curious Mandeloid with broad bands of chaos on its east side, but only very narrow bands on its west side. Today's midget is located near the tip of a meandering, curving chaotic area in the narrow band of chaos on the northwest shore of the main west bud. I named the picture "Electric Minibrot" when the zig-zag filaments reminded me of stylized lightning. The glowing white balls could also be seen as samples of those rare glowing blobs of plasma known as ball lightning, which by the way I have never observed. Whether the rating of 9 is justified is up to the viewer to decide. The 13-minute, 13-and-13-hundredths seconds render time, which consists of a string of unlucky 13's, is a bit slow. The wise and lucky choice would be to download the GIF image from: The fractal weather today (Friday) here at Fractal Central was chilly and blustery. The temperature of 59F 15C was not too cold, but combined with the brisk wind, it was enough to keep the sensitive cats house bound. The cats got grouchy. As for me, I'm going to wrap up the last of the serious work so that I can get to the even more serious work of searching for the next fractal. That next fractal will appear as tomorrow's FOTD. Until then, take care, be patient, but not so patient that you become a patient. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Electric_Minibrot { ; time=0:13:13.13--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.396786690594519/+1.241589333886222/3\
.216269e+011/1/107.489681409293439/0.0032344174442\
0335797 params=-1.05/1/-0.000315/-1/0/0 float=y
maxiter=1200 inside=0 logmap=245 mathtolerance=/1
symmetry=none periodicity=0
colors=000zzz5VG8UHBSJDRKGPMJONLMOOLQRJRTITWGUZFW`\
DXcCYfA_h9`k7bn6cp5dm4bk4ai4`g4Ze4Yc3Xa3V_3UY3TW3R\
T2QR2PP2NN2ML2LJ1JH1IF1HD1FB0E90DB2ED4EE6FG8FH9FJC\
GLBGMEHOFHPGHRGGSHFTHEVHDWICXIBZKB_KA`L9aL8cM7dM6e\
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jphopjtplzpmzmhzjcwgZrdUmbTh_WcXZZVbUSfPPjINnGKrFH\
vFFvFHsLJnQKiVMe_O_dPViRSnSQsVTpXVn_Yla_jdahfbficd\
kebnf`phZsiXujVokQikMckIYkDSk9Nk5hlfnibtf_ycXwaWu`\
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gZHgWIfTJfQKfNLfLMeINeFOeCPd9Qd6Rd3Sd1Te6ReAQfEPfJ\
OgNNgRMhWLh_KicJigIjhPjiWkjbkkillpllwkfojahiWahUVg\
UOfUHeUAdU3eU5fT7gW9gYAh_CiaEicGjeHkgJkhLliNmjOnkQ\
nlSomUpnVpoXqpZrq`rrassastasuatvatwatxarybqzcpzdoz\
enzemzflzgkzhKzVGzQBzM6zI
}
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.
