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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The symmetry around the midget in today's image is so chaotic that I'll not attempt to classify it. Starting on the outside as a 24-way symmetry, it reverts to the normal 8,16,32... symmetry as the midget is approached. Actually, the vague octagonal shape of the outer ring leads me to suspect that the 24-symmetry is an artifact created by 8 groups of 3 elements. I named the picture "Fractal Popcorn" because the outer ring of 24 elements somewhat resembles a string of popcorn. I realize that Fractint already has a built-in 'Popcorn' fractal, but today's FOTD, which was created, as are most of my images, with the most basic fractal methods, is of a totally different origin. Undecided as to how to rate the image, I finally decided on a rating of 6, which is a little above average. Considering the large, boringly flat area around the perimeter, caused by a too-large logmap value, I could just as easily have chosen an average 5, but the unusual symmetry was just enough to earn the 6. The 15-minute render time of the parameter file is a bit slow, and with the finished product being only a little above average, the best way of viewing the scene is probably to download the GIF image file from: The fractal weather today was hazy, hot and humid, with a temperature of 86F 30C, which was punctuated on several occasions by distant thunder. But the rain never arrived, and the fractal cats stayed happy, lounging all afternoon in the shade of the holly trees. I'm now going to spend most of today lounging -- that is unless I get an uncontrollable urge to go looking for fractals, or even worse, to start philosophizing. Regardless of what happens however, I'll return in 24 hours or less with the next incredible (at least IMO) FOTD. Until then, take care, and be true to your fractals and they'll be true to you. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Popcorn { ; time=0:15:29.06--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.45634544676351220/+0.000120966153903\
08/1.621997e+010/1/-5 params=1/3/-0.35/4/0/0
float=y maxiter=5000 inside=0 logmap=328
colors=000Y1qa8feFXiMNxn_tfSpZK`zUcqPfhLi_Hg95iG8k\
MBXk5`f7da9hXBe`gX_N`YKdWIhUFJSKRSIYSGeSEO_Ut73rD6\
pI8nNBwIYqNNTWObUIGIjRMZaPO5p9GiARcBaYCKv2Zf84N3GP\
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HNYSPRbRK0fWHaPXXJLP8VQAcRC7b9I_ASXBbUCB7sOSg`SSqG\
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fTIOvQPjYQ_eROuDBrICoNDZduVtGceEDnsMhhVbYcXNzDpuIb\
pNQT66YC8bHAgNC31xJAhYJTz76byYepSghNj_IYs9alAeeBiZ\
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rrlpi`n`PORNXSJdSGqJtoMinOZmQOxrQtiLp`HvaXKbBUcCce\
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v9fwBzxIuyGpzE4zVvzffzhhzzjzikzTMzk7zCIzDSzDbzDTz5\
Yz7bz9gzBez2gz5iz8kzBXzRbzMgzHlzflzSczHhzF`zzfzaez\
thzejzRQzSWzOazKgzGtzCjzf
}
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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