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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: An unexpected rush job, (Why are they always unexpected?), put the damper on my fractal efforts today. But I did find a chance to dredge up a passable midget. Unfortunately, I had no chance to write a proper discussion. The result of all this activity is that the FOTD is once again late. I don't enjoy the lateness, preferring to be prompt in my postings, but sometimes it just can't be avoided. Now as to that fractal. It's an average midget, which I have named "Five Finger Minibrot", and rated a 5. I gave the image its name when I thought I spotted fingers around the edge of the open area. The formula that created the image is quite arbitrary: 26Z^(-0.98765)-52Z^(-9.8765)+C. To find the formula, I put my fingers on automatic. (Perhaps that's why the fingers appeared in the image.) The render time is slow enough to make a download of the image worth the effort. That download may be found in 3 hours on Usenet, posted to the binary newsgroup: A non-eventful day in the weather aspect made the fractal cats far less restless than they were the day before, when they got into a fight. The partly sunny skies and temperature of 44F (6.5C) were ideal, with the light wind making conditions perfect for a full afternoon's outing in the yard. The dynamic duo carried their good mood into the evening, which helped me immensely in the rush. My planned philosophy fared less well however, but the rush design job will be out in a few hours, and I'll tackle that unfinished story. Until next time, take care, and when things get rushed, move faster. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
FiveFingerMinibrot { ; time=0:13:14.16 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.12573544663073950/+8.93511041527769100\
/580021.1/1/70 params=1/-0.98765/-2/-9.8765/25/300
float=y maxiter=1200 inside=0 logmap=22 periodicity=9
colors=000Zb0Ve0Rg0Nk0Jm0Ho0Nk0zc0Xg0<2>ib0m`0sZ0zX0\
<4>zN0tL0z48z0Gz0LT00000000880JL6XXGgiNuuXzzdzPNzPLz\
PLzNJzNHzNHzLGzLEzLEzJCzJCzJAzH8zH8zH6zH6zs0mR0Z00X0\
0V00T00R20R20P20N40L40L40J60H60G62G62CNA8dH4uP2zX0zb\
<3>0zq0zu0zx0zz<3>0zz0zz0zz0zz2vz8qzGkzLdzTZzZTzeNzk\
HzsCzx6zVEe0JH0P00N00N00L00L20J60J80HA4HC8GGCGHGEJJE\
LNPLT`LXmLbxLezLizLezNdzPbzR`zRZzTXzVVzVTzXPzZNz`Lz`\
JzbHzdGzdEzeCzg8zi6zi4zk2zm0zm0zo0zq0zq0zm0zk0ug0oe0\
gb0b`0XX0RV0JT0EP08N02J00H<2>00AA08J06R04`82iG0qN0zV\
0z`0z`vzdxxezxgzvizvkzumzuozsqzqszquzovzoxzmzzmzzkzz\
izzizzgzzgzzezz<2>dzz<2>ozzszvvzozzgzz`zzTzxLzvGzqEx\
kCb6zRVzVRzXNz`JzbGzeCzg8zk4zo0zq0zu0zv0zz0z<4>z0z<2\
>z0z<4>zTzzZzzdz<3>zzz<2>zzzzzzzxzxuxuqvqmumiskeqgbo\
dZmbXkZTiVPgRLePHdLEbHA`E6ZC2X80V40T
}
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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