Fractal visionaries and enthusiasts:

The month of August with its very deep Mandelbrot scenes has ended, and it produced some winners for sure.  The end of August does not mean we will never return to the very deep Mandelbrot fractals, but for a change we return today to the regular FOTD routine, and start with a scene in the parent fractal that results when 11 negative parts of Z^(-1.1) are combined with 2 negative parts of Z^(-6) before (1/C) is added on every iteration.

The resulting image rates a 6, a notable come-down from the 8's and 9's that prevailed during part of August.  But what the heck?  Even a rating of a 6 is above average, and the calculation time of 5 minutes means that little time will have been wasted if the image elicits a yawn.

The name "Net of Convergence" refers to the basin of attraction surrounding the minibrot at the center of the image.  The moth-eaten appearance of the features also reminds me of some type of spider web.

Morning clouds and showers gave way to lots of afternoon sun here at Fractal central today.  The temperature of 82F 28C was close to ideal.  The fractal cats were apparently exhausted after a very active day yesterday and spent most of the time sleeping.  The humans spent their time doing what needed to be done.  The next FOTD will be posted in 24 hours.  Until then, take care, and what ever happened to the music of the spheres?

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Net_of_Convergence { ; time=0:05:02.92-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-0.85803336723/-0.28049507163/238775.3/\
  1/110/0 params=-11/-1.1/-2/-6/0/525/0/0 float=y
  maxiter=3200 inside=0 logmap=390 periodicity=6
  colors=00035C46B57A6997888D7996AA5BB2CC4DD5EE6FF8G\
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  mzmmzzmzzmzzmzzmzzmzzmzzmzzzzmzzmzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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=========================================