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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I hate days like today, when I have no chance to find a proper FOTD image or write a proper discussion. But there is simply too much to be done and, since I'm trapped in linear time that moves with a will of its own, I have too little time in which to do it. Today's image rates a liberal 5. It reminds me of an erupting volcano. I named it after that huge eruption toward the end of the 19th century, which obliterated the island of Krakatoa and was heard 3,000 miles away. The formula behind the image is a very simple Z^1.19+C. The midget in the scene is located on a long meandering filament of a larger midget. The larger midget lies on a long meandering filament of the parent fractal, which lies 5.4 turns (whatever that means) up the logarithmic spiral. The parameter file runs in less than 9 minutes, so not too much patience is required to view the image this way. An even more efficient way of viewing the image is to download it from: The fractal weather Thursday was milder than what is expected at this time of year, but still very uncomfortable for the fractal cats. The wind was too strong, the sky was too cloudy, and the 43F 6C temperature was too cold. The cats, being particular about what they find acceptable, spent the day indoors, alternating between their radiators and their lookout shelf by the window. Well, the holidays are getting close, and much remains to be done. I'd best get busy doing those things that need to be done. But I'll return tomorrow with another FOTD. And the philosophy has been lagging lately. To rectify the situation, I might have a bit of wisdom to share in a few days time. Until tomorrow, take care, and stay warm, (unless you're living in the Southern Hemisphere or the northeast U.S., where you're not cold in the first place.) Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Krakatoa { ; time=0:08:49.98--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-5.59395897219679400/+8.262575269499850\
00/6787487/1/32.5/4.9630024465119327e-008 params=1\
.19/0/5.4/525 float=y maxiter=18000 inside=255
logmap=192 colors=000hFEgGGfHIeIKcJMbKOaLQ`MS_NUZO\
WYPYXP_ZR``TaaUbcWceXdfZdh_eiafkbgmdhnfipgiqijsjku\
llvmmxonypnsihncchYYcSTZMOTGIOADJ48P56U55Z54U65P76\
K86K97KA7KA8aB8ZC9XD9UEARFBPFBMGCKHCHIDFJDCKEAKECL\
CELBGL9IL8JL7LM5NM4PM2RM1SM0TR8UVFVZMVcTWg_XkfXomY\
moZlqZjr_it`gv`fwZdsYcoWakV`gUZcSY_RWWQVSOTONSKMRH\
LQGKPGJOGINFHMFGLFFKFEJEDJECIEBHDAGD9FD8ED7DC6CC5B\
C5BC6DD6FD7GE7IE8JF8LF8NF9OG9QGARHATHBUIBWIBYICZJC\
`JDaKDcKDdKCbNB`QA_T9YV8XY7V`7Ub8PT9LKAHBAD2FJKJOa\
IQbIRcHSdHTdHUeGVfGWgGXgFYhFZiF_jEajEbkEclDdmDemDf\
nCgoChpCipBjqBkrBlrLhqVdqTemRfiPfeNgaLgYJhUHhQFiMD\
iIBjEAjAAkCAkEAlFAlHAmIAmKAnLAnNAoOAoQAoRApTApVAqW\
AqYArZAr`AsaCscEtdGtfItgKteMtcOtaQt_StZUtXWvVYwT_x\
RayQczOezMgzKizJkzFmzBoz7qz4sz8uzCwzGyzKzzOzzSzzVz\
zSzzPzzNzzKzzHzzFzzCzz9zz7zz8zz8zz8zz8zz8zz8zz8zz8\
zz8zz8zz8zz8zz6zz6zz6zz6zz6zz8zzAzr0
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
