Fractal visionaries and enthusiasts:

Today's fractal is a pleasant diversion, a non-assuming image that promises little and delivers all of what it promises.  The star-like scene lies in the 'East Valley' of the parent fractal that appeared as the FOTD for May 30.  But it lies much deeper in the valley than yesterday's FOTD image, which also lies in the same East Valley.

I have no idea where the rating of 7-1/2 came from, but it seems about right, so why not go with it.

The name "Mandy Points the Way" is an equal mystery, since today's parent fractal hardly resembles the Mandelbrot set.

The calculation time of just over 1-3/4 minutes is brief by any standards, though not as brief as the lifetimes of certain subatomic 'resonance' particles, which exist for such infitesimal periods of time that they don't really exist at all.

Midsummer conditions continued here at Fractal Central on Monday, with hot but hazy sun, high humidity and a temperature of 93F 34C.  Early in the day the fractal cats sought the coolness of the tile floor in the kitchen, and stretched out there most all afternoon.  FL spent the day puttering in her garden.  I spent the day watching her putter and offering occasional helpful advice.  The next FOTD, a moderately deep look into the M-set, will be posted in 24 hours.  Until then, take care, and those with sharp tongues often make blunt statements.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

MandyPointsTheWay  { ; time=0:01:47.80-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=+0.1868775575702199/+0.0003973109476461\
  /6.54e+007/1/-112.5/0 params=1.01/-1/6000/0 float=y
  maxiter=1500 inside=0 logmap=177 periodicity=6
  colors=000KBHKBHIAHG9GE7FF8GF8HG8IG8IH9JH9KI9LI9LJ\
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  RmsUmtWmtZmu`lvclxelzhlzjmzlnznnwpowrowtpwwpwzqwzr\
  wzrwzswvswrtwmtwhrrcpnZniUlePj`KhXFfSHdOJbJLaFNcPe\
  eZwWTmNNdEHWJJZOLaTNdXOgaQifSljTooVrtXuxYwqTojPhcK\
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  oPzpSzqczrczscztczuczvczwczxczymzzmzzmzzmzzmzzmzzm\
  zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

END PARAMETER FILE=========================================