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August 29, 2010: The Hidden Jewel Aug. 28
Aug. 30 2010 FOTD Home
 Rating 8

jewel

Fractal visionaries and enthusiasts:

Today's image is another pretty good one.  The rating of a much-above-average 8 is fully justified, though a full point of the rating is earned by the coloring.

The name "The Hidden Jewel" refers to the scene in general.

The calculation time of 1 minute is very near FOTD average.

On its surface, the parent fractal is a normal Mandelbrot set, but in its depths things start to go awry.  Today's image is located near the edge of the main negative spike, at the very un-exceptional point of -1.71.  At this point the single spike has fractured into an infinity of fractal spikes, which somewhat resemble the train-tracks in the Enola rail yards, located about 55 miles or 88km south of FC.

Absolutely perfect weather continued here at Fractal Central on Saturday.  Not the slightest trace of cloud marred the blue sky, while the temperature settled at a near-perfect 82F 28C.  The fractal cats gave up on the cricket and spent the day watching for stray cats intruding in their yard.  (They seem to think it's their yard, even though we never let them go out there.)

My day was uneventful, while FL busied herself in the gardens.  The next FOTD will be posted in 24 hours.  Until then, take care, and I wonder if they have fractals and internet in the hot place down below (AKA hell).  If not, then I don't want to go there for a single day, much less for all eternity.

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


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

The_Hidden_Jewel   { ; time=0:00:59.99-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-1.716704373310237/+0.00012150036035313\
  /7.451509e+011/1/170/0 params=2.5/10000/0/0 float=y
  maxiter=1800 inside=0 logmap=114 periodicity=6
  colors=00000M00O01Q02S03U04W06Y08_0Aa1Cc4Ee5Gf7Hg8\
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  dfj`knXprUtuYkaabJcdIefIggIiiIkjImlInmHpoHrpHtrHvs\
  HxuHyvHulRrb`oTjlKsmLrnLqnLpoMpoMopMnpNmqNmrNlrOks\
  OjsOjtPitPhuPguPguOhuOhuNiuNiuMjuMjuLkuLkuLkuKluKl\
  uJmuJmuInuInuInqGlnEjkDhhBfeAebFf_JfXNfURfRVfOZfLb\
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  ukfnhdhebbbaX_b`YccWdfVeiTelRfoQgrOhuwhxweuwcswaqw\
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  zZmzVmzSmzPmzLmzImzFmzBmz8mz5mz2mz6mzAmzEmzHmzLmzP\
  mzSmzWmz_mzbmzemzhmzkmzimzgmzezlczkazj_ziYzhWzfUze\
  SzdQzcOzbMzaKz`Iz_EzaBzc8ze5zg2zhLzWbzKazN`zP`zR_z\
  T_zVZzYYz_YzaXzcXzeWzhVzj }

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