Fractal visionaries and enthusiasts:

Today's image is merely an everyday scene in the conventional math range of the overworked Mandelbrot set, yet it rates a lofty 8.  This rating is justified because I awarded myself 1-1/2 extra points for the coloring, which occupied a full hour of my limited time.  Without the fancy coloring the image would have rated no more than a humdrum 6-1/2.

The scene lies in the spiral seahorse-like tail of a tiny period-38 bud on the northwest shore line of the main period-2 bud of the Mandelbrot set.

The maxiter of 15000 is a bit too low to fully resolve the large, unusually spectacular minibrot at the center of the image, but it results in the best coloring, so I posted the image slightly under-resolved.

The name "Mandelbrot's Pride" is likely true.  Mr. Mandelbrot was surely proud of his accomplishment of bringing fractals to the public attention (around the year 1980).  But fractals, at least in their Julia aspect, were actually discovered many years earlier by Mr. Julia, who unfortunately had no computers to show the world what he had found.

The calculation time of 9 seconds is insignificant when compared to a lengthy human life span of about 3,000,000,000 seconds, so go ahead, run the included parameter file and enjoy the image.You'll never notice the lost time.

Monday here at Fractal Central was hazy and hot, with a temperature of 95F 35C that kept the fractal cats stretched on the coolest floor they could find.  But at 6pm a noisy thunder-storm moved in, which dropped about 2.5cm of rain and lowered the temperature to 73F 23C.  The thunder caused the fractal cats to grow alert, though they did not become alarmed enough to dash for cover.

Tuesday began hot and muggy.  By midday the temperature reached 90F 32C, which sent the cats once again into hot-weather mode.  But a cooling thunder-shower arose around 5pm, which brought them back to life.

The humans had reasonably uneventful days, which is the kind of day we enjoy.  The sick computer is once again in full health, though with all the viruses out there, no guarantee of continued health can be given.  The next FOTD will be posted in 48 hours.  Until then, take care, and we'll never reach the stars until we find a way to leave our bodies behind.  But when we do this, the universe will be ours.

Jim Muth
jimmuth@earthlink.net


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

Mandelbrot's_Pride { ; time=0:00:09.66-SF5 on P4-2000
  reset=2004 type=mandel center-mag=-1.1375835316682\
  11/+0.2095148760940262/7.282211e+011/1/137.5/0
  params=0/0 float=y maxiter=15000 bailout=9 inside=0
  logmap=-2227 periodicity=6 mathtolerance=0.05/1
  colors=0008LV8NV8OV8PV8RV8SV8TV8TV8SV8ST8QS8PQ7NO5\
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  0`b0bY0eV0gQ4hN8lIDmFHoBNs7St4Wx0`z0ez0jz0oz0xz0tz\
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  Wz5Wz5Wz5Yz5Yz5YzD3zK3zS4 }

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