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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is a disappointment. When I found the location where the midget lay buried, I thought that I was on the way to a great fractal. But something happened on the way down. The closer I came to the midget, the less promising the scene became. Maybe I went too deep, maybe I bungled the coloring, maybe there's simply no great image to be had at this location. Whatever the reason, I felt a letdown at the final result. The expression that was calculated to draw the image is 11Z^(-1.15)-Z^(-11.5)+(1/C), which was calculated by the MandelbrotMix4 formula, resulting in today's image. The 8 or 9 rating I had originally expected was trimmed to a modest below-average 4. Then I named the picture "Much to my Chagrin". It's an image with a deep blue color palette, with feathery fronds poking in from the edges and graceful arcs curving at the corners. The description sounds good enough -- too bad the image doesn't come up to its description. With a render time of 8-1/2 minutes on a 200mhz Pentium, the parameter file is not really worth the effort of formatting and running it. I recommend downloading the finished GIF image from: The fractal weather today was absolutely perfect, with cloudless deep blue skies and a temperature of 72F (22C). The conditions brought out the wanderlust in the cats, who kept me busy all day letting them in and out. And now it's time to once again shut down the fractal shoppe and call it a night. But I'll return on schedule tomorrow with a better fractal and some words about higher dimensions. Until then, take care, and a great fractal makes an otherwise lousy day seem not so bad. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Much_to_my_Chagrin { ; time=0:08:30.26 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+89.198597213673/+301.3121194212447/3.363\
376e+007/1/90 params=11/-1.15/-1/-11.5/0/1000 float=y
maxiter=3200 inside=0 logmap=182 periodicity=10
colors=000fnzfjzdkzajzZfzWjzTZzQXzNPzMEx39n65395UB5U\
<2>J5pJXjmzzirzejzabzXUxTMxPDwznMzeUqXafNiWEpNm8np0j\
i9fcHbYP_TW<2>NBpR_iT3zR5z<3>M5zK5zR00Q00P08P0HN1QM3\
YM3fK5nzaavUflPjN5Bm00fH5_XEUlPNzXHzeEzPDv6zMbfXPEhB\
GbJHXQHRXJMcKDzzGzK9zP90N89N8JM6RM6_K5hK5pn01lzJfxR<\
2>QJpRtEQlN<3>KEpvzUnz_ipcbeiXTmQHr_0lR0qJzt5zi8ql9i\
mDapEUqHMtJjvKjz<4>KjzKjx6jT<3>GjmJjrzjlvjpbxtDxzExz\
GxzHxzHxzJxzKxxlxzaxp0x00xD1xP8xaExlJxhJx5<3>KxaKxiK\
xpzxQhxfhxzaxzWxzQxxJxvKxwKxwMxelxnfxq<2>Qxvzxjzxmvx\
nlxqbxrTxvzx0zx0wxBnxMhxW_xeRxnfxzWxzmx3ixBexJbxQYxX\
<2>NxqzxXvxbnxffxj_xnRxrzxq0zc<2>0zl5zm9zpDzrHzvXzTT\
zaQzhNzpzzErzQhzaWzljzB5zz8zz9zzBzzDzzGzzHzzJzxxzKzz\
zvzznzzfzz_zzRzzzzXtzfbznczmUzrzzMnzY_zjBz0Dz9<3>Jzm\
5z08z99zJDzREz_HzhJzpzz3qzNazexz0qz3jzGczR
}
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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