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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Another busy day brings yet another shortened FOTD. Today's fractal is so busy, almost frantic, it has so many bright colors and lights, so much activity that it reminds me of the county fair. What better name to give it then than "County Fair"? And what better rating than a 6? The formula that created the image combines a lot of negative Z^(-1.8) with one negative portion of Z^(-13) before adding (1/C). I'll not try to describe the indescribable and very complex parent fractal, which is well worth a look even though it is too large to fit on the default opening screen. The parameter file renders in under 7 minutes; the GIF image file downloads in under 1 minute. The parameter file is attached to the bottom of this letter; the GIF image will soon be available on the following web sites: The fractal weather today here at FC was sunny and a bit too warm for comfort. At sunset however a cool gust of wind arrived from some thunder-storms to the north, and the night turned out near perfect. The fractal cats accepted the afternoon temperature of 88F 31C and evening temperature of 74F 23C without comment. I now find myself with a pile of work to do, so until next time, take care, and where was the Hamiltonian last seen? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
County_Fair { ; time=0:06:49.36--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.2246622685313890/-0.0475014016152398\
2/1.378474e+011/1/-177.501/0.009 params=-1/-13/-11/\
-1.8/0/800 float=y maxiter=750 inside=0 logmap=139
colors=0008pl4pvMaVcO3YMFSKRNIaVKcbLdjMfrNgyOhrK`k\
GTeCLZ8DT56XA7`E8dJ9gNAkSBoWCs`DvdD`NBG5AN8BUAC`CD\
fFEmHFtJGzLGbSaGZwMbwRewXiwalwfpwlswqwwvzwLZeIWbGU\
`ERYBPW9MT7KRDISJGTPFUUDV_BWeAXk8Yp7YdFdUMkJUr8`xN\
fl`laZjcYheWffVdhTbiS`kRZlNSnKLpGEqD7sA0t92n93h95b\
86Y88S89M8AHA8NC7SE6XG5aPEYXNUeVRmcNukKnjLhjLbiMXi\
MQhNKhNEgO8gO7kR6nT5rW5uY8bcBKiD2nM2qU2sa2ui2wkAxm\
HxnOypWyrbzsizgdsX_lMVeBQZ0MT3KQ6IN9GLCEIFCFIBDMIJ\
POPSUVW``ZffalkYjlVimShmPgnMfoJeoFQTCB7J96P76V56`3\
6f16Z9CSGHLNNEUSFYRF`RGdQGgQGjQHnPHqPHtPKnQNhQPbQS\
XQVRQXLQ_FQaAQMoLWiWddfTbUI`H7_49JEA3ODBVFIaIQhKXo\
MZlO_iQagSbdUdaWe_YgX_hVxNNnNQeNTXNWONZFNaEQdDSfCV\
hBXkA_m9aoVigpp`imZbjXWgVPeUIbSB_Q5YPFWROUTXTUeRWn\
PYwOZmWWdcUVkRMsPDzNJwTPtZVqc`nifln_h`TeOMbBOe9Pg8\
Ri6Sk5Um4Vo2Xq1Ys0Tr8OrGJqNEqVAqaBr_CrYDsWEsUEsSOd\
GYQ4eIEmAOUXGVVCMqIHpTDpb
}
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.
