Fractal visionaries and enthusiasts:  

Today we return to the first parent fractal I ever saw on a computer screen.  It is still probably the richest and most widely explored fractal of all time, a statement backed up by today's image.

The math rating of a lowly 3 may at first appear disappointing, but actually it indicates that the formula behind the image is the most widely used and totally familiar fractal formula of all, Z^2+C, the formula that creates the most familiar of all fractals, the Mandelbrot set.

The image lies on a filament in the northast outskirts if a tiny minibrot on the X-axis just beyond the large minibrot on the main spike of the M-set.

The name "A Mandelbrot Scene" needs no explanation

My deep humility prevents me from rating the art aspect at a 9.  The actual art rating of an 8 seems much closer to the mark.  Regardless, there is easily enough interest in the image to justify the measly 10 seconds required to finish the calculation.

The day began with snow, sleet and freezing rain here at Fractal Central.  The rain ended before noon, leading to a partly cloudy afternoon with a temperature of 43F +6C, which is the warmest day in almost a month.  The fractal cats ignored the break in the weather and spent the afternoon sleeping.  The fractal he-man lucked out when the sun appeared and melted the ice on the sidewalk without human intervention.  The coffee was still highly appreciated however.

The next FOTD will be posted most likely in 24 hours.  Until then, take care, and whatever the problem, higher technology will save the day.  And if I actually believed this, I would not be repeating it so often.

Jim Muth
jimmuth@earthlink.net


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

A_Mandelbrot_Scene { ; time=0:00:10.00 SF5 at 2000MHZ
  reset=2004 type=mandel center-mag=-1.7864399162298\
  41/+0.00000012072335758/2.557824e+011/1/-83.75/0
  params=0/0 float=y maxiter=6400 bailout=16
  inside=0 logmap=-893 periodicity=6
  colors=00000C00C00D00D00E00F00G10H20I30J40K50L60M7\
  0O81Q92SA3TB4UC5VE6WF7YG8_H9aICcNFeTHgZKicNmiQroTv\
  tVzKHePIaUJYZKUcLRhLNmPJrUGvZCzc8zh5z0Dc6KP8DDA70C\
  14G58K8BOCFRFJVIMZMQbPTeSWbOY`K_YHaWDcUAVP9NL8FH77\
  D66A960C6AF5FI5KK5PN4UQ4ZT4cV5eY6g`7hb8je9lhAmjBom\
  CrpCwrLzzHcxDUv9Kt5Cs8FqAHpCJnFLmHNlJQjMSiOUhQWfTY\
  eV`cXbb_daaffchmejzbhm`ffZd`WbaU`aSZbPXcNVdLTdIReG\
  PfENgCMgELeGLdIKcJKaLK`NJ_OJYQIXSIWTIUVHTXHSYHRVOS\
  SVSQ`TNgTLmUItUGzUHxVHwVHuVItVIsVIqVJpVJnWJmWKlWKj\
  WKiWLgWLfWLeWTc1WcBYcK_cTbcbdckfctgcthcsictjcukcvm\
  cwncxocypczqczrczscztczuczvczwczxczzczzczzczzczzcz\
  zczzczzczzczzczzczzczzczzczzczzczymzzmzzmzzmzzmzzm\
  zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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