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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In the "All Pooped Out" notes of 2 days ago, I commented that the image was not a midget in a larger fractal -- it was the entire fractal. I made the statement without examining the rest of the fractal. I should know better than to say such absolute things about fractals, but I thought that in this particular case the statement was true. It should come as no surprise that I was mistaken. Shortly after posting the image, I received a note from Lee Skinner pointing out that the "Pooped Out" image was not the whole fractal. To illustrate, he included a parameter file of a scene well off to the left (no politics involved) of the 'pooped off' area. The image is one of the more unusual ones that I have seen in my years of wandering the world of fractals. Lee named it "Numbers", and I have kept the name. It takes little imagination to see the numbers scattered throughout the scene, which are even in a decorative font. In fact, the numbers' font seems to be the same one as the dates on the 'cat-a-day' calendar on my desk. Studying the image, I see 2's, 5's, 7's, 6's, 9's, as well as bits and pieces of the remaining 5 numerals. I did not rate the image, since I rarely rate the fractals of others. But it is apparent that if I had rated it, the rating would be above a 5. The parameter file is slow, requiring almost 1/2 hour to render, but for relief the image will soon be available for download on the W.W.Web at: With its sun and temperature of 71F (21.5C), the fractal weather was ideal again today. In fact, it has been too ideal lately. The local farmers are beginning to complain about the dryness. The cats however are not complaining. Once again they spent most of the day romping and resting in the yard. As for me, it's past 9am and the time I should start my more serious endeavors. So until next time, take care, and when I was a boy, I wanted to grow up to be a scientist, but now that I'm grown up I'm not even sure what a scientist is. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Numbers { ; image by Lee Skinner - time=0:28:10.54
reset=2001 type=formula formulafile=allinone.par
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=+0.0178871706298102/-0.010051504509756/\
2.678973e+007/1/135 params=1/0.7/-1/-0.7/-4.5/5000
float=y maxiter=5000 inside=0
logmap=415 periodicity=10
colors=000zR7zS7zU7zV7zW6zY6zZ6z_6z`5zb5zc5ye4yf5y\
g5yg6yh6yi7yj7yk8yl8yl9ym9ynAyoBypCyqDyrDyrEysEysJ\
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LeGNeGPfGRfGTgGVgGXhFZhF`iFbiFdjFfjFhkEjkEllEnlEpm\
DrmDtnDvnDxoDzpCznBzlAzj8
}
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.
