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February 5, 2012: A Colorful Minibrot Feb. 3 Feb. 6 2011 FOTD Home
  Rating 7

colorful

Fractal visionaries and enthusiasts:

Today's image is a scene in the parent fractal that results when a Mandelbrot set is infected with some Z^(-5).  A reasonably normal M-set lies at the center of this parent, but this M-set is surrounded by a far larger than expected field of chaos.  This parent fractal is surprisingly sensitive to changes in the bailout radius, which may be changed by changing the real(p2) parameter.

Today's scene lies in the East Valley of a tiny M-set in the northwest part of the field of chaos surrounding the large M-set.  The broad patterns are typical of those in the East Valley of the classic Mandelbrot set.  This similarity held the rating to a 7, but the finer detail within the broad patterns bring an extra richness to the otherwise humdrum scene.

The name "A Colorful Minibrot" simply describes the image.  The calculation time of 9-1/2 minutes is far too high a price for the image, but relief may be found on the FOTD web sites.

The trip back to Old Fractal Central came off without a hitch yesterday, though we did run into some scenic but otherwise harmless snow on the return trip.  When we reached FC and climbed onto the fractal porch, we heard a chorus of cat voices from inside FC.  The fractal cats had been alone all day and were venting their anger.

A typical mix of sun and clouds prevailed here at Fractal Central today, with a temperature of 41F +5C.  There was too little sun for the sun-loving fractal cats and too many clouds for the fair-weather humans.

The next FOTD will be posted in 24 hours.  Until then, take care, and Quantum Mechanics appears so weird because we try to fit the behavior of sub-atomic particles into the behavior patterns of the objects of the classical world that we observe with our senses.

Jim Muth
jimmuth@earthlink.net


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

A_ColorfulMinibrot { ; time=0:09:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-1.84531759102023/+1.212468157907445/\
  5.376973e+010/1/-45/0 params=-5/500/0/0 float=y
  maxiter=5000 inside=0 logmap=-883 periodicity=6
  colors=000W9OX9OW9OV9OU9OT8PS8PR8PQ8PP7NO8PN9QMARL\
  BSKCTKDUKEVKFWKGXKHYKIZKJ_KK`KLbKMcKNdKOeKPfKQgKRh\
  KSiKTjKUkKVlKWmKXnKWgHVaEUVBUPELIhAX`BRUBMNCGHkJGU\
  FBNnDJ`FFOl2Ka6HR9EpiUYTKusPYu0Pe6UWM6dTccXcicmmmq\
  zzqzfjzJbzCVz6Oz0Ku1Gp1Ck28e24`31W33_74bB6eF7hIV_F\
  qRDkNJfJOaGTXCZS9cVCY_Aac9dh8gl7jddEifOnhYsjgwlpmi\
  jdfdWc_N`UEYO5VJ9TKCRLGPMRDVNbKLbGN_IOYJQVLRTMTQOU\
  OPWLRXJSZGU_EVaBXb9Yc7ZdJcdUhddmdorXmlm`_nccnfgoik\
  oloposprwpuznjrl`jjQbiGWcHSZIOTIKOJGJJCHLIGMNEOSDP\
  XBRaASfoN5qU6s`8ug9vmAudBtWCtNCsEDs5Dp6Co7Bn8Am99l\
  98kA7jB6iC6hD5qD4pE3oF2nG1mH0mH0mSEmRFmRGmQHmPImUJ\
  mUKmULmUMmUNmUOmUPmUQ8cR7cS6cT5cU4cV4cUAcUFcULcUKc\
  UKcUKcUKcUKdUKeUKfUJgUJhUJjUJkUJlcJmcJocJpcIqcIrcI\
  scIucIvmIwmIxmIymMymQymUymYymazzezzizzmzzuzzqzznzz\
  kzzgzzdzzazzYzzVzzSzzOzzLzzIzzEzzBzz8zz9zzAzzBzzCz\
  zDzzEzzFzzFzzGzzHzzIzzJzz }

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