Fractal of the Day
by Jim Muth

A Hairy Situation ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- November 13, 2007   (Rating 7)

Fractal visionaries and enthusiasts:

Today's scene returns us to the mother of all fractals, the Mandelbrot set, where we check a rather difficult area at the limit of a small side-bud of a radical on the northwest shore line of the large period-2 bud.   This area is a difficult place in which to work because of its extreme iteration count, which in today's image is 1,750,000, demanding a logmap setting of minus 146,000.   The magnitude of almost 6*(1012) makes the mathtolerance entry necessary.   If the calculation flipped to arbitrary precision math, the rendering would drag on for a day or more.

The name "A Hairy Situation" came about when I noticed how closely the curving filaments resemble hairs.   The rating of a 7 is all I could do for just another trip into the not-so-deep depths of the Mandelbrot set.   I did put some extra work into the coloring, but not enough to figure in the rating.

The calculation time of 9 minutes is reasonable.   But this time is true only on my fast 2000mhz machine however.   On the slow old 200mhz unit, the parameter file would take over 2-1/2 hours to finish.   Since some fractalists still run Fractint on older computers, I have sent the image on ahead to Paul at the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
where it may be viewed almost instantly.

A cloudy, dreary, drizzly day here at Fractal Central on Monday brought pleasure to no one, not even to the F.C. cats.   The temperature of 48F 9C was too warm to be cold and too cold to be warm.   The ground was wet all day, though the total rain never amounted to even a single millimeter.   The fractal cats showed their disgust by sulking at each other.

My involvement with work left little time to be concerned with the weather.   Luckily, the work went well.   The next fractal image will be posted in 24 hours.   Until then, take care, and what is the greatest number of fractals that might possibly exist?


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

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

A_Hairy_Situation-2 { ; time=0:09:08.57-SF5 on P4-2000
  reset=2004 type=mandel passes=1 center-mag=-1.1719\
  9191062237200/+0.24288823917726240/5.826131e+012/1
  params=0/0 maxiter=1750000 inside=0 periodicity=10
  float=y logmap=-145837 mathtolerance=0.05/1
  colors=000AuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzA\
  uzAuzAuzAuzAuzAuzAuzAuzAuzBuzCuzBuzBuzBuzBuzBuzBtz\
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  IGzHCzG8zF4zE6zF8zF9zFBzF }

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


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