Fractal visionaries and enthusiasts:

Perhaps the most striking feature of today's image is the name I gave it.  "Peanuts in the Knight" is the first phrase that came to mind when I shut off rational thought in search of an interesting name.  Since the name found me rather than me finding it, I have no logical connection between the name and the image other than the vaguely peanut-shaped holes surrounding the minibrot.  And nothing that I can see in the image even hints at a noble knight of long ago.  I also doubt that peanuts were on a knight's list.

The parent fractal of today's image came about when I subtracted two parts of Z^(1.5) from Z^(2) on every iteration before adding (C).  This parent fractal, which lies totally in positive real territory, is a Mandelbrot set with a reasonably normal main bay east of Seahorse Valley, but when we pass west of Seahorse Valley, where the circular period-2 main bud would be expected, we find a surprising north-south series of three partially merged buds.  Today's image lies near the X-axis on the western edge of this series of buds.

The rating of a 6 is all I could do for the image.  I could have spent more time on the coloring, but I saw too little potential to make the effort.

The calculation time of 1-1/3 minutes is near average for a FOTD image.

A mix of sun and clouds prevailed here at Fractal Central today.  The fractal cats enjoyed the sun more than the clouds, and had no comment on the temperature of 55F 13C, which was quite mild for mid-November.  My day was reasonable enough to please a rationalist, yet weird enough to satisfy a believer in aliens in flying saucers from outer space.  FL, being of a far more pragmatic nature, had a day with a minimum of un-necessary speculation.  The next FOTD will be posted in 24 hours.  Until then, take care, and stay sharp when life turns dull.

Jim Muth
jamth@mindspring.com


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

PeanutsInTheKnight { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+1.112656613832/+0.111558028339/493239.6
  params=1/2/-2/1.5/0/0/0/0 float=y maxiter=1500
  inside=0 logmap=64 periodicity=6
  colors=000IDIGEHEGGCIFAKE8MD6OC4QB2SA3UB4WC8YCC_DG\
  aEJcFNeHRgIViJZkKamLeoNiqOmsPquQtwRquRosRmqRkoRimR\
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  X_XY_Y__Z``Zb`_c``eaafaahabibckbclbbkabkaajaaj`ai`\
  `i``i_`h__h__g_ZgZZfZZfZYfYYeYYeYXdYXdXXdXWcXWcWVb\
  WVbWVaWUaVUaVU`VT`UT_US_US_US_TSZTRZTUYTUYSUXSUXSU\
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  mzzmzzmzzmzzmzzmzzmzYmzXmzXmzzz6zz7zz7zz7zz7zzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzBzzBzzBzzBzzCzzCzzCzz\
  CzzDzzDzzDzzDzzEzzEzzEzzE }

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