Fractal visionaries and enthusiasts:  

The fractals I post as FOTD's are almost always scenes deep in larger fractals that I call the parent fractal.  These parent fractals, which usually go un-appreciated, are sometimes weird enough all by themselves to be worth FOTD status.  Today's image is one of these ridiculously weird parent fractals.  It is just crazy enough to be noticed and hopefully appreciated.  (It is
filled with minibrots, one of which will be posted as the next FOTD.)

I named the image "A Phantom Parent" because I have the impression that the orangish valleys toward the east and west edges of the image are parts of a larger unseen fractal that lurks in the background but defies being brought out into the open.

The generating expression mixes an unlikely portion of Z^(2.3) with an equally unlikely portion of Z^(4.6), and then adds cosxx(C), which is not a true function at all, but an early complex-math mistake that was retained to keep the wrong images it had created compatible with the corrected program.

With XY symmetry and a maxiter of only 750, the image is almost instantaneous.  I have listed the calculation time at 10 seconds, though on most SOTA units, the image will run in about 3 seconds.

Total sun made today a brilliant midwinter day here at Fractal Central.  The temperature started at a cold 12F -11C but under the warm sun reached a more reasonable 34F +1C in the afternoon.  The fractal cat enjoyed the afternoon sun on his window shelf, but he still misses his companion, who shared the shelf with him until she went to cat heaven several months ago.  The humans had a day that could have been improved upon.

The next FOTD will be posted shortly.  Until we find out how long shortly is, take care, and every economic problem seems to hit poor people the hardest.  I guess this is why poverty is so unpopular.

Jim Muth
jimmuth@earthlink.net


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

A_Phantom_Parent   { ; time=0:00:10.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=cosxx float=y
  center-mag=0/0/0.69 params=-2/2.3/1/4.6/-0.02/0/0/0
  maxiter=750 inside=0 symmetry=xyaxis periodicity=6
  colors=000GSNTT_RVaQXbOZdNaeLdfKhhIliHpkFplEomCnoB\
  mpAmq9mn8mk8kh7if7gc6f`6eZ5dW4cT4bQ3aO3`L2_I2ZG3YK\
  4XO4WR5VV5UYzmazmdzmezmfzmfzmgzmgzmbzmZzmVzmQzmMzm\
  IzmIzmIzmIzmJzcJzcJzcJzcJzcJzcJzcJzcJzcJzcJzcKzcKz\
  XKzXKzXKzTOzXKzWKzWKzWKzWKzWLzWLzWLzWLzWLzVLzVLzVL\
  zVLzVLzVLzVMzVMzVMzUMzUMzUMzUMzUMzUMzUMzUNzUNzTNzT\
  NzTNzTNzTNzTNzTNzTNzJOzLNzNNzPNzRNzLMzMNzMNzNNzNNz\
  NNzONzONzPNzPNzPNzQNzQNzRNzRNzRNzSNzSNzTNzTNzgQyfP\
  xfPwePwePvePudPudPtcPscPrcPrbPqbPpaOpaOoaOn`Om`Om_\
  Ol_Ok_OkZOjZOiYOhYOhYOgXNfXNfWNeWNdWNzVNzVNzUNzUNz\
  UNzTNzTNzBYzCXzDXzDWzEWzFWzFVzGVzHUzHUzIUzJTzJTzKS\
  zKSzLSzMRzMRzNQzOQzOQzPPzQPzQOzROzSOzSNzTNzdWzaTzZ\
  RzWPqqJppKooKonKnnKnmKmlKmlKlkKzjLziLziLzhLzgLzgLz\
  fLzeLzdLzdMzcMzbMzbMzaMz`Mz_Mz_MzZMzYNzYNzXNzWNzVN\
  zVNzUNzTNzx`zw_zv_zu_zuZztZzsZzrYzrYzqYzpXroXzoXzn\
  WzmWzlWzlVzkVzjVziUziUzhU }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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