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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: What does the whimsical expression 1.3Z^(-10.6)+6.7Z^(-1.7)+(1/C) do when iterated? Why it creates a fractal, a fractal with midgets. And today's picture illustrates one of these midgets. I named the picture "Fractal Stickers" because the sharp filaments surrounding the midget remind me of the burrs that sometimes get stuck on the fractal cats when they wander too far afield. After careful consideration, I rated the image a 4, which is a reversal of the steady decline of the past several days, but still below average. The parameter file takes about 3 minutes to set up and 4-3/4 minutes to run. The GIF image file takes about 2 minutes to access and 1/2 minute to download. The image file may be found at: The fractal weather today was partly cloudy and blustery, with a temperature of 63F (17C). The temperature was mild enough for the fractal cats, but the wind was a bit too high for them to be comfortable outdoors, the thrashing branches keeping them constantly on alert. I'm exhausted after another day of high anxiety, so I'm going to settle down to watch another junky movie. I'll return in 24 hours or so, with another fractal. Until then, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Stickers { ; time=0:04:44.46 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.2247777530333031/+0.4283983728794734/3\
.302373e+009/1/139.999 params=1.3/-10.6/6.7/-1.7/0/0
float=y maxiter=1200 inside=0 logmap=80 periodicity=9
colors=00022V22V<3>22P22O22N22L22K22J<2>226222220<2>\
22723C35F05H19F3CD6HA9H9CK6FL5HP2<2>PY0PZ0R`0Xb0`e0d\
h0ik0ml0ro0zr0zt0zv0<3>zw0zw0zw1zw3zs5fl7db9bXA`bDYb\
FViHSiJPwL<2>HwRFwUCwVCvVAwXAwXAyYAyYAzZAzZAz`<3>9zb\
9zb9zd<3>9zeCzfDzhGyhHviKsiLpkOmkPklRilUfmVdoYaoZZpa\
XpbUreRrfOshNsfOrePrdRrdSrbUraVr`Xr`XrZYrYZrY`rXarVb\
rUdrUdrSerRfrPhr<2>NlrJmtLlsNlrOlpRloSlmUllXlkYliZlh\
alf<3>hkaik`lkZmkYokXrkVskUviVtkUtkStkRtlRtlPtlOtmNt\
mNsmLsmKsoJsoJsoHspGspFspFrpDrrCrrArrA<2>rs6yz0tv3rt\
6mt9ktCftGdtJ`tL<3>OtYKt`Htb<2>6tl3to1trCtsLts<3>yts\
wrtvivtbwt`y<2>ptzozzozzfziZzOSz2SzCSzKSzUSzaSzkSzsS\
zzSzzVzzYzoZzdazUbzJez7fz0lz9pzLtzX<4>szfszhszkszlsz\
oszpszssztfzk<2>7zN2zX0ze0zo0zy<2>0zz0zz2zz<2>Azz<4>\
azz0z0
}
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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