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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image completes what yesterday's image tried to do. It comes from a parent fractal that closely resembles yesterday's parent. Today's parent is much smaller however, and has much more chaotic detail surrounding the main bay. The scene of today's image is at the very western edge of the detail on the southwestern side of the main bay. And yes, the slight bit of stretching in the horizontal direction is intentional. It gives the image a better overall composition. The parent fractal was generated when I subtracted 12 parts of Z^(1.02) from 12 parts of Z^(0.98) and added C. At first glance this parent appears to have even more potential than yesterday's. It has so much potential in fact that I might spend a few more days exploring it. I rated today's image at a very superior 9. I am quite satisfied with the neutral color palette, which really brings out the zig-zagging features in the foreground. The name "Infinite Zigging" came about when I pondered the fact that one could dive into the image forever without coming to the end. How could you come to an end when there is no end? Of course, the apparent infinity is actually only a half-infinity, for the image is without limit in only one direction. An extra bonus is the fireball calculation time of just under 28 seconds. Even on the worn-out old P200 machine, the image would finish in under 3 minutes. But why bother with calculation when the completed image is posted on the FOTD web site at: A sunny morning here at Fractal Central on Thursday gave way to a cloudy afternoon, but the rain did not begin until night. The clouds held the temperature to 84F 29C, though the high humidity still made it feel oppressive. The fractal cats had an uneventful day of sleeping and sitting in the window, watching the television show beyond. Except for the better-than-expected FOTD, my day was uneventful also. The next in the apparently endless series of FOTD's will appear in 24 hours. Until then take care, and no one is more surprised than me at how long the FOTD has continued. When I started it on the Fractal-Art list in 1997, I intended to keep it going only a week or two. It has now become almost a vocation. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Infinite_Zigging { ; time=0:00:27.90-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-5.79334912003784/-1.199475920319244/\
8893.701/1.0776/15/6.33650498044202592e-009 float=y
params=12/0.98/-12/1.02/0/1000/0/0 periodicity=10
maxiter=1000 inside=0 logmap=39
colors=000UP_YTaaXce`gidkmhoqmstpvrntmjogeja`eWXaQ\
SXKNSEIN8EJLIIYMHmUGzbGsUKfNNUGQKBTB7c23mJ9rZFznKz\
dZzhcrlgwidzgYwdRmbPc_NcYLhWJmTGmREmOCmMAmJ8mH6mF4\
hI9cLDcOHcRMcTQdWUgZZzabmdfpfjshhzifzjdrkbrlaqm_zn\
YqpWqqUqrTpsRztPpuNpvMprIqoFrkBsh8sdVSeVUfVWgVYgV_\
hVaiVcjVejVfjXajZYj_TjaPjbKjdGjeCbaFVYINULFROGSPGT\
PGUPGVPGVPGWPGXPGYPGZPGZPJ_RM`TO`URaWTaXWbZYc`ccah\
dcmddrefvfhzfizgkzglzjizlfzndzpazr_zpWzoTzmQzlNzkK\
ziHzhEzgBze8zd5zc2zd8zeDzfIzgNzhSziXzjazkfzlkzmpzm\
uzlvzlvzmvzmwvnwrnwioxhoxfpxdpybqy`qyZrzXrzVszUszX\
tmzt`zuPzuMzvJzvGzwDzwBzx8zx5zy2zy0zz4zz7zzAzzDzzG\
zzJzzMzzPzzSzzVzzWzzWzzWzzWzzWzzWzzWzzWzzVzzVzzVvz\
UrzUmzUhzTczTZzTUzSPzSOzSRzQTzPVzNXzMZzK`zJczIezGg\
zFizDkzCmzBnzCnzDnzEnzFozGozHozHozIpzJpzKpzLpzMpzM\
nzOlzPjzQhzSfzTezUczWazX_zYYz_Xz`VzaTzcRzdPzeOzfWz\
eczdjzdrzcyzcizSVzGMz`HzW }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
