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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The hazy blue glow surrounding today's tiny Minibrot reminds me of the mystical aura that is sometimes claimed to surround the human body, and is said to be especially brilliant around the heads of saints and holy people. This resemblance inspired the name "Minibrot with Aura". Since I'm not yet in my mystical or philosophical mode, I'll not speculate as to whether such an ethereal glow actually exists around the human body, and can actually be seen by those with extrasensory vision, but if no such thing exists, a lot of hallucinating people or liars are out there. One needs no psychic ability to see the aura in today's image. It was produced by the formula Z^(-1.5)+0.0001*(Z^(-150))+(1/C). The sickle-shaped elements are typical features in the images that result when different portions of high and low powers of Z are combined. After much indecision, I settled on a rating of 7 for today's image, with its soft colors and sharp contrasts. The parameter file renders in a little over 10 minutes on a tired but still functional Pentium 200mhz machine. The GIF image file downloads in a fraction of that time. For those who choose the download, the file may be found on the Web, posted to Paul's site at: The fractal weather today here at Fractal Central was sunny in the morning and much warmer, but it became cloudy in the afternoon, with a few drops of rain. The temperature of 75F (24C) had the fractal cats in the yard most all day, twitching their ears whenever a drop of rain hit them. As for me, I see that it's time to shut down the fractal shoppe and call it a night. If I can find a trashy enough old sci-fi movie to watch, the day will be complete. If not, I'll watch a Dr. Who show. Until tomorrow or Monday morning, take care, and just because you can't see something doesn't mean that it's not there. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Minibrot_with_Aura { ; time=0:10:18.08--SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.22503694025169900/+0.092233759045437\
49/3.857046e+010/1/64.992/-0.026
params=1/-1.5/0.0001/-150/0/300 float=y
maxiter=1500 inside=0 logmap=-220 periodicity=10
colors=000A0FA0FA0FA0FA0FA1FA2FA3EA4EA5DA6DA7CA8CA\
9BAAAABEACAAD6AE2AF3AI4AL5AN6AQ7AT8AV9PYAU`BUbCceD\
hhEmjFq`poZlnYilXekVfiUghTigSkiRmjRokRqlRsmRunRwoR\
yqRzrRzsRzqRzoRzmRzmRzmUznXzo_zpbzqdzJH8JRCGaFCmJ9\
vMCsPEqSHnVJlXMi_OgbRddTbgW_jYYldWbjUToSJuQ9zO0zM4\
vL7rKAnIEjHHfGKbEO_DRXCUUAYR9`O8cL6gI5jF4mC3pF7oHA\
oKEoMHnPKnROnURmWVmZYm``mYZkWYjUXhRWgPVeNUdLTbIRaG\
Q_EPZBOX9NW7MU5LT7OS9RSAURCXRE_RFbQHeQJhQKkPMnPOqP\
PtORwOSzOUzNVzNWzNYzMZzM_zMazLbzLczL`zRYzXVzaSzgPz\
lMzrJzwNzsQzpTzlWziZzfazbdz_gzXjzTmzQpzNozQnzSmzUm\
zXlzZkz`jzcjzeizghzjgzlgznfzqezsezubzs`zqZzoXznVzl\
TzjRziPzgNzeLzcJzbHz`FzZDzYEz_FzaGzcHzdIzfJzhKzjLz\
kMzmNzoOzqOzrRzqUzqWzqZzq`zqczqezphzpjzpmzpozprzpt\
zpIzXWzSizOwzKszNozPkzShzUdzW`zZYz`UzbQzeNzgJzjFzl\
Czn8zq4zs1zu5zr8zoCzmFzjJzgMzeQzbTz_XzY_zVczSfzQhz\
RjzTkzUmzWozXpzZrz_sz`6ze
}
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.
