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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had rather good luck finding today's fractal. Unfortunately, I had no such luck in finding the time to write about the fractal, so this brief note will have to suffice. While the P1, P2 and P3 values that are entered into the formula are 1.3,-13,13,-1.3,-2, and 800, the actual iterated expression is 1.3(Z^(-13))-13(Z^(-1.3))+(1/C). The image rates an honest 7. The eight brush-like elements surrounding the ubiquitous central midget are unlike anything I have yet come upon in my fractal adventures. These brushes are not artifacts of clever fractal manipulation on my part. They are real features drawn by the classic equal-iteration-band coloring method. I named the image "Fractal Brushes" because that's what I saw. The parameter file renders in 12-1/2 minutes, which is slow enough to make a download of the image the preferable method of viewing the scene. The download will be available in an hour or so at Paul's web site at: The fractal weather today was ideal. The sky was blue, the temperature reached 69F (20.5C), but the cats complained when I had no chance to give them the time outdoors that they wanted. Well, as I see the jobs, which I really should be working on, piling up around me, I guess it's time to say, 'until next time, take care, and be peaceful. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Brushes { ; time=0:12:22.16--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.240913461043476/+0.8117822172036/1.4\
53451e+009/1/-32.499 params=1.3/-13/13/-1.3/-2/800
float=y maxiter=1350 inside=0
logmap=227 periodicity=10
colors=000FgQFiQFkQFkQ8eO26M0VJ08H0JF0FD0BB0FF0HJ0\
JO0MQ0OV0QZ0S`0Ve0Wi2Zn6bp8etBgxFizHkzMnzOpzQrzVtz\
WvzZxzSzzOzzJzzDzz8zz4zz0zz0zz0zx0zv0xz0tz4nzBizHb\
zMZzSVzZOzeJzkDzr8zv4zr6zn8zkBzgDzeFv`FpZHkVJeS0ZO\
OVHHKHQJFYDBV88W24W02Z00`00b00e00e00W04Q0DJ0JD0S60\
Z04g0Bn0Hv0Mz0Sz0Wr4t`gzVbzQZzJVzDOz8Jz2Fz0Bz06z00\
z00z00z00z00z00z00z00z00z00z02z06x08t0Bp2Fk6Hg8MeD\
O`HSWJVSOWOS`JVbHZgDbi8en4ip0kr0tt2zt6zvBzvFzvJzrM\
znOziQzgQzbSvZVpWWkSWeOZ`M`VHbQDbJBeF6g82i40iB2nH4\
pO6rS6tZ8xeBzkBzpDzvFzzFzzHzzJzzJzzMzzOzzOzzJzzHzz\
DvzBnz6bz4Vz0Jz0Bz00z00z00z00z00z00z00z00z00z20z40\
z60z60zB0zD0zF2xH2tJ4rM6nO6iQ8eVB`WBZZDV`FQbFMeHHg\
JFiJ0rz0tz0tz4vz8vzDxzJxzOzzSzzZzzbzzgzz`zzWzzSzzO\
zvHzpDzk8ze4z`0zW2ze4zk4zr6zz6zz8zz8zzBzzBzzFzzJzz\
OzzSzzWzz`zzezvizrnzkrzgtz`xzWzzQzzMzzFzzBzz4zz0zz\
0zz0zz0zz0zz0zzVzzSzzSzzS
}
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.
