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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: After a run of images that take sizable portions of an hour to calculate, today's rather dark and gloomy but sizzling-fast image finishes in 13 seconds. The image is a scene in the parent fractal that comes about when 0.3 part of Z2 is subtracted from 0.3 part of Z^(-3) and straight C is added. This parent fractal is an oversized thing that vaguely suggests a Mandelbrot set that has been rotated 180 degrees and filled with fascinating intricacies. Today's scene in located in the part of the parent fractal which might be the remnants of the large minibrot on the negative X-axis. I named the image "A Lot of Nothing" for no logical reason at all. There certainly is a lot of something in the image -- an infinity of it. In fact, there is enough stuff in the hidden depths of today's image to give every fractalist on earth a different infinity to explore from now through eternity. After I named the image, I rated it at a 6-1/2. Once again I rewarded myself for the extra effort I put into the coloring. The calculation time of 13-2/3 seconds is as fast as lightning. Even the worn-out old P200 machine finishes the calculation in under 1 minute. But the most convenient way of all to view the image is to go to the FOTD web site and view it in finished form there. The FOTD web site may be accessed at: Saturday turned out to be a near perfect day here at Fractal Central, with a deep blue sky set off by puffy white clouds, and a temperature of 68F 20C. The fractal cats must have found the day pleasant also, for they spent a good part of it stretched in the sun streaming through the south window. My day was un-notable, the way I wish all days would be. The next FOTD fractal will be ready in 24 hours. Until then, take care, and be on the watch for that elusive something known as the ultimate reality. It might be a fractal! Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_Lot_of_Nothing { ; time=0:00:13.65-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident inside=0
center-mag=+5.065449254256304/-1.226811093382541/6\
.289509e+009/1/101.747334433732746/-0.007924854706\
80458215 params=0.3/-3/-0.3/2/0/0/0/0 maxiter=400
float=y logmap=29 periodicity=10
colors=000A9kAAiABgACeBDc8E`6FX7ET7DP7BL7ACFBDNCEU\
DF`EGlFHsGUzUczimzzzL8k95tCPBHgFmzJQzN0zRZzVbYZw_b\
w`fd_WZ_LQTMIMNAFO28O0`K5XQAUVER_JOdNLzT_zYwzSwzMe\
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UiZ`fPgcGn_6u_Eq_Nl_Wg_db_mY9miDrNBpJ9mE7kA5h53e0R\
g6njDnhHneLnbQn_UnXZnUbmRgfTeZWcRYaK`_CbY4eWObMg_C\
faHecNdeScgYbicakh`mnZptZoqYnnYlkXkhXieWhbVfZWgTYi\
N_kHamBZmBVmARm9osoelcWdRMXFCP2CV3C`4Cf6Cl7Cr9CgLD\
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PmYSmcUcjXhq_nxchuhbqlXmqRjuLfzEbmzb_zcNzd9zeKzhWz\
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zSuzIzz7zzXyzvyzryznyzjxzfxzbxzZwzUizSVzPHzM2zJjze\
hzgfzjdzmazp_zsYzvVzy_zyezxjzxpzwtzsyznozVdzBjzBqz\
CnzDjzEgzFczG`zHXzITzKTzK }
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.
