Fractal of the Day
by Jim Muth

Quartic Mandelbrot ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- December 12, 2005   (Rating 4)

Fractal visionaries and enthusiasts:

Today's rather hurried image is a scene in the quartic Mandelbrot set, which has nothing to do with liquid measure.   The parent fractal is based on the formula Z^4+C, and the fourth power is known as the quartic.

The scene is located on a small filament on the northeastern shoreline of the large midget on the negative X-axis of the parent fractal.   Actually, the identical image exists in two other places on the same shorelines of the other two corresponding midgets.

I named the image "Quartic Mandelbrot" for a reason that does not need to be explained.

With limited time in which to work on the coloring, I could do no better than the present warm-red-and-green theme, which rates no better than a below-average 4.   Luckily, the render time of 1-3/4 minutes is brief enough to take a good part of the pain out of the calculation.

The pain may be totally removed by downloading the finished image from the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The week-end was cold and the ground remained snow covered here at Fractal Central.   The cats appear to have entered their winter mode, where they realize that it is too harsh outside for comfort.   They satisfy themselves with a day of watching birds, and with generous treats of tuna.

The weekend search for the new Fractal Central went smoothly, but no real candidate has yet been found.   The next FOTD will appear, for sure this time, in 24 hours.   Until then, take care, and what are the physicists missing in their never-ending quest for 'everything'?


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

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

Quartic_Mandelbrot { ; time=0:01:46.28--SF5 on a P200
  reset=2004 type=mandel4 float=y mathtolerance=0.5/1
  center-mag=-1.22081630124854600/+0.002586485120148\
  20/3.60701e+012/1/52.5/0.0165 params=0/0 passes=1
  maxiter=1500 inside=0 logmap=131 periodicity=10
  colors=000GB7I38N59S6AY8Bc9CjADnOEtQFzUGzZHzcIeVJ`\
  _KWdHRjDMo9Ht5LmCOfJR_PUTWXMa_Fhb8nKXMRcHXjDbq8hx4\
  bt8YqBSnENkIHhLCeODcLEaIF_GGYDHWAHU8D`99g95nA2tA9r\
  DGpFMoITmK_kNejPebUeVZeNceFhe7mf0mhAmjKmlUmncmpclm\
  cgjccfcZccU`eQUgONmMGoK9qI3sGIqGWpGioGwnGrkFmiFigF\
  ddF_bFW`F0qKHsTXu`gamrIzu9jx1VrEPlQJgaDam7Xy1Q9KSM\
  OTZRQXTOWULVVJTXGSYERZCQ_DRZDSYDTXDTWKMbQFiX8pb1wY\
  8xUEyQLyMRzIXzLPlOIZUHWZGTcGRiFOnFMsEJxEHxDGxCGxCF\
  xBFxBExAExAElJQaSaR_mPXpNUsLRvKOyPQuUSrZUncVkhXgmZ\
  dr_aoXalVaiTafRacPa`NaZLacMggNmlOspPxoQroQmnRhnRcn\
  RZmSUmSUmSUiKceCha4mX7rT9wOBzKDzFFuBHzJPzQXUYdKdlA\
  kt1nj5p`8sUBuZEwcHthSqmborljvXezHMzI3zJcz9azH_zOYz\
  VWzbUziSzpIzIdzIhzJkzJozJrzJizP`zUSzZJzcBzh6zeFzjO\
  znXzrezvmzzbzpSzgHzZ6zQEzSLzUSzVZzXezZlz_fzd`ziWzn\
  QzsLzwPzmSzcWzUZzLazZdzkgzxczt`zqYznVzkSzhPzeSzdVz\
  cYzb`zbczafz`iz_lz_SzYEz_ }

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


Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
or to the renowned Fractal Census

Go to Paul's Fractal pages or Home Page.

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