Fractal visionaries and enthusiasts:  

Today's image lies near a tiny minibrot that lies near a larger minibrot that in turn lies near an even larger but still very small minibrot just beyond the large minibrot on the main stem of the parent Mandelbrot set, which has been corrupted deep in its depths by Z^(11) energies.

I named the image "Solar Prominences" when the curving filament loops around the edges of the scene reminded me of the prominences seen through a telescope around the edge of the sun's obscured disk during a total solar eclipse.

Both the art and math aspects are far enough above average to rate a 7.  Fifteen minutes of extra attention to the colors raised the art to this same level.  The unexpected combination of quadratic and order-11 features raises the math to the same level.

The calculation time of a very neat and tidy one minute will keep boredom in the background, but do not forget the web sites for interesting variations.

Today could best be described as variably cloudy, warm and humid with a chance of showers.  The temperature of 88F-(the official U.S. temperature) 31C-(the temperature in the rest of the world) was what is usually expected at this warmest time of year in Central Pennsylvania.  The expected thunder showers failed to appear, at least by post time.  The fractal cats took the day as easy as possible, while the fractal humans did the same.

The next FOTD will be posted in a day or two.  Until whenever, take care, and what does a person have left when he loses faith in both religion and science?

Jim Muth
jimmuth@earthlink.net


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

Solar_Prominences  { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-1.796031838509796/+0.00000000045076874\
  /2.660628e+011 params=11/1e+017/0/0 float=y
  maxiter=1750 inside=0 logmap=148
  periodicity=6 mathtolerance=0.05/1
  colors=05038Q49W6A`9DeCGkFJoIMtLQyOUzRYzUazXgz_kzb\
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  5LR5IN5FJ6CF6AB67865_iObiOiniqwztyzyzzzzzzzzzzzzzz\
  zzzqvqejeVcXEXL2S86M6CH5LF4UC5`94gA5b94Y94S83N72dK\
  5VHYOJzFGzDEzDCzDCzBCzBCzBCzBCzRGzdSnqcczkQzs9zw7z\
  z7sz7lz7ez7Xz7Oz7Fz7Kz7Pz8TqGYiM`bTeVYkLcnBgGzBcvL\
  vtVtqOtmHtjBsg6sd6sa6wV7zSGzNQzGYzCfzCmzPszVwz`zze\
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  6nnClqQjtbiwjhzrezvunzzQzz7zzBzzOzz`zzkzzrxzwzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzyzzqzznzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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