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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's quickie is a scene in the fractal that results when negative portions of Z^(-1.5) and Z^(-7.7) are combined, and (1/C) is added. This parent fractal is an oversized shapeless thing with a Mandeloid feature on its southern edge. The East Valley of this Mandeloid is split into two branches. Today's scene is located on the southern branch. The image is that of a midget surrounded by a rather uninteresting mixture of flat outside areas and sickle-shaped holes. One of the other outside options might have done a better job, but I did not try any. The scene could also have been evaporated and the different inside options applied to the resulting blank screen. I did not try this either. I named the image "All Askew", though the skewed appearance of the scene is deceptive. The scene itself is skewed, not the rendering. When it came to the rating, I found myself unable to give the image, with its stereotyped appearance, a rating higher than a 5. When adjusted for the render time of under 6 minutes, the overall value rates a more impressive 86. The image will have a higher overall value if it is downloaded in completed form from the FOTD web site at: Tuesday turned into a totally perfect day here at Fractal Central -- at least for the fractal cats. Lots of sun and a temperature of 86F 30C was just what the duo wanted. For a few minutes, they even forgot that they are aging cats, and acted like kittens. Then, reality returned and they settled down for a long sleep in the holly bushes. Wednesday was cloudy and cooler, but much more humid. The duo didn't mind. Today is starting partly cloudy and warm. The duo has not yet been out. For the fractal human, there is much work to do. I spent the past two days slowly advancing the nearly limitless (description somewhat exaggerated) pile of work. If all goes well, the next FOEFD will appear in 48 hours. But there is no guarantee. Until next time, take care, and what did skeptics believe in before the age of science? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
All_Askew-2 { ; time=0:05:49.77--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.24659990414109350/-2.109103007684063\
00/784558.9/1/67.5/-7.81802311590473753e-007
params=-1/-1.5/-0.2/-7.7/0/0 float=y
maxiter=600 inside=0 logmap=55 periodicity=10
colors=000NPELSHKUJIWMGZPE`SDbUMZVUVWaRXiNYqKZpQao\
Wdn`gmfjlkmkqpjvslvpmvnovlpvjor8GqhLXSPCBac3`f6`i9\
`kC_nF_qI_sKWtPTuUPvYMvbIwgFxkByp8ytEmnKbhQRcWGY`5\
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7Ph7QIGny4RzGOzRLzaIwbNtcRqdVneZkfbhgf`QSU9DSESQJf\
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WlzUizRgzOdzMbzJ_zGYzEBz5JzHQzSXzcXzKTzOPzSLzWfzta\
zeYzS_z_aznazg6zEIzRTzbUzSXzYZzcazilzq0zgKzkIzdOzg\
TziZzlEz9tz8yz3szFnzRhzbmz0dzZJzjwzGpzSizcOzRUzZZz\
fyzDqzQjzb4zaMzhGzjMzkSzl }
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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