Fractal visionaries and enthusiasts: 

There was no FOTD for September 22, when FL and I decided to take an trip down to Carlisle to do some antiquing.  We found several interesting old books, but nothing of real value.

Today's image, a trip into the crazy world of mixed quadratic and cubic fractals, rates only a 6.  The lowly rating is because to me at least, the image appears too . . . well . . . feminine.  Those light pastel shades really fail to give the image its proper impact, but it really is a pleasant view of a cubic minibrot that has no right to appear in its mostly quadratic parent.

The parent fractal is basically a Mandelbrot set whose smaller features are starting to change into those of the cubic Mandeloid.  The main bud has already split into two lobes, while the East Valley has vanished and been replaced by a tiny cubic bud with curious curving tendrils extending from its two lobes.  Today's scene lies deep in one of these curving tendril spirals.

The name "Cubic Number Field" sounds like more that it means.  This name simply popped into my head as I shut off my thought processes, something every fractal fanatic must do to properly enjoy the tricks of numbers.

The calculation time of 42 seconds will make the task of running the parameter file a simple one.  The only thing simpler is a trip to one of the FOTD web sites.

Typical autumn weather prevailed here at Fractal Central today.  The temperature hovered around 66F 19C, while the sky was filled with big dark lumpy clouds of the strato-cumulus variety.  The fractal cats were more concerned with falling leaves and pigeons than with the outside weather that they never get to experience.  The humans had a relaxing day after yesterday's adventure.  The next FOTD will be posted promptly.  Until whenever, take care, and vote with your head, not your heart.

Jim Muth
jimmuth@earthlink.net


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

Cubic_Number_Field { ; time=0:00:42.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip float=y
  center-mag=+0.2071310995378451/-0.0201790533795087\
  /1.3047e+011/1/86.25/0 params=3/-5/0/0 maxiter=1500
  inside=0 logmap=103 periodicity=6 mathtolerance=/1
  colors=000LBeMCfNDgOEhPFiQGjRHkSIlTJmUKnVLoWMpXNqY\
  OrZPs`QvbRvdSufSrhQnjLmjIjgGeaE`W8PAAAbsY_nUXiQUdN\
  R_JOVFLSCLO8OLCUMGYOQfS`oVjwYtHxqJwsKwtLwuZmwkdyxW\
  zoVxfVvYUtPUrGUqUTifSasRUoTJlV9hSBdPC`MDXJETGFWIDZ\
  KBaMAcO8fQ7iS5kU4bR5UN6LK6CI74H7CHCJHHQHMXIRcIWjI`\
  qIepKZoLTnNNmOHlPBnTHpXNr`StdYugbnWhhLmbArFn_Mm`Sl\
  `Yk`cj``kXZkUWlQUlNRmKPmGMnDKnALj9Mf9Nb9NZ9OV9PR9Q\
  N9QJ9ONDNQGLTKKWNIZQHaUFdXEg_GcZH_ZIWZJTYKPYLLYMIY\
  QHaTHdWHhZGkaGodGrY_jRrcTefVTiXGlZ4n`AibFdcK_ePVfU\
  QhZLicGceIZgJUiKVcHVYEVSBVM8VH5TBJR6XP1iZAUhIFqQ0i\
  R5aS9UTEMUIFUMEXKE_JDbHDdGCfNBhUAi`9kf8lm7nt6ozGrp\
  PugYwZ`vVbvSdvOfvLhuHjuEluAnu7zo8zj8ze8z_9zV9zQ9zK\
  AzFAzAAz5AzBFzHJzMOzSSzXWzWZzV`zUbzTezSgzRizQkzPnz\
  OpzNrzMtzRozVkz_gzcczh_zlWzdYzY_zQ`zJbzCczAZz8Uz6Q\
  z5Lz3Hz1Cz08z4Bz7DzAFzEIzHKzKMzOOzRRzUTzYVz`Xzc_zg\
  azjczmezlczlazl_zlZzSdzKd }

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