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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Since I've been in a rather somber mood lately, it's only appropriate that today's FOTD features a somber palette of colors. The formula behind the image is a rather ordinary Z^(-0.9)-Z^(1.1)+(1/C). This formula draws a fractal consisting of two twisted and distorted Mandeloid shapes, with fragments of fractal debris scattered between them. Today's image is located in the tip of a curving arm of this debris. I named the image "A Somber Scene" because of the dark colors with only a few brilliant highlights for contrast. Actually, there's nothing somber about the underlying shapes. It's all in the colors. The image was calculated using Fractint's new outside=fmod feature, with the proximity value set to one. If the outside is changed to the normal equal iteration bands, the effect is pretty much the same. I used fmod because I wanted to see what it could do. The attached parameter file takes almost 10 minutes to render on an aging Pentium 200mhz machine optimized for fractals. A faster way of viewing the image is to give Paul and Scott an hour or so to render the image and post it to their web sites, and then download the finished GIF image from there. (When I read what I just wrote, I seem to see a contradiction.) Anyway, Paul's FOTD web site may be found at: The fractal weather today was mostly sunny and quite mild, with a temperature of 59F (15C), which was ideal for the two fractal cats, who spent several hours in the yard watching the robins finish off the last of the holly berries. And I'm about finished for the day. I did some deep philosophizing this afternoon while working on the new Fractal Central, but I'm too exhausted from the work to put my deepest thoughts into writing. Most likely, there will be no more philosophy until I get settled in my new headquarters at the end of March. But there most definitely will be a fractal of some sort tomorrow, and also a few words about the fractal, so check then to see what happens. Until next time, take care, and are real fractals really real? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Somber_Scene { ; time=0:09:40.12 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.18703011513967910/+0.09717649261105442\
/2.484354e+009/1/-82.5 params=1/-0.9/-1/1.1/0/800
float=y maxiter=1200 inside=0 proximity=1
outside=fmod logmap=yes periodicity=10
colors=000zdWzfUzgTziTzkSzkSzlQznOzpOzqNzqNzwWzzexzg\
uvipsjlnliklefnaboZYqVVrSSrQUqQVoQWnQYlO_jO`iObgOdeO\
fdZiZgkWplTzpOzqLzsIztEzvIzwLzyOxySqzUjzYdz`ZzdSzgLz\
jFznFzqFzlGzgJzbNzYQzTVzQZzLazGdzBgz5jz3ezBazIXzOUzU\
OzbJziFyoFwunktz_rz`qzbqzbozdozfnzfnzglvglqijnkjikie\
licngZngVpeSpeaQSi5Cg5Cg6Cg9CgDCgGCeKCeNCeQCeUCeWCzV\
IzULzUOzYSz`TzfUziWznYzqZzv`uybnzeizgcziXzjSzlLznFzo\
FzqQzief`vITz5Lz5Oz5Sz5Uz5Wz5Zz6bz7ezBgzDjxEnvGqvKru\
LusNysPzz5jz5iz5gz5gz5ez5dz7dz9bzB`zE`zGZzIYzLYzNWzP\
WzNZzLbzKdzIgzGjzElzEozDrxBtx9wv7zu6zs5zs5zq6wq7oq9e\
qBYqBQn9Oj9Oi7Ne7Nc6Na6LZ5LX5LU5JQ5JO5IL5IH5IG5GF5GF\
5GF5JF6NF9QFBTFEWFIZFLbFNdFQgFUjFWnFYqF`tFdwFfyFduGd\
tJdqLdoOdlQbjUbgVbeZbb_b`afZaiYakYanWaqWasUcvTcyTczS\
czSczQczQdzSeyTetUgpWglWigYibZjY`lUblQbnLdnGepBgp7gn\
Qrlfzjwzjzzgzzdzzazz_wzXtzUpyzd3zg3zk3zn3zp3ziE
}
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.
