Fractal visionaries and enthusiasts:

Today's image resulted when I combined 10 parts of Z^(-0.1) with Z^(2) and added straight (C) to generate a parent fractal that from all appearances is an obliterated Mandelbrot set.  A vague Mandelbrot shape is still evident in the surrounding bands, which would indicate that most of the action lies in the eastern part of the main bay of the obliterated M-set.

The open parts of the actual parent fractal bear no resemblance to a Mandelbrot shape however, with the only true buds lying along the X-axis.  Today's image is located near the tip of a zigzagging filament extending from a bud just north of the X-axis, near the western part of the parent fractal.

I named the image "A Long Crooked Path".  This refers not to the path to heaven, but to the path from the fractal bud out the fractal filament to the scene of today's image.  The rating of a 7 indicates that the image has at least some worth, and that the quick calculation time of 55 seconds will make the calculation only a minor annoyance.

Fairly typical mid-autumn weather prevailed here at Fractal Central today, with a sky filled with threatening slate-gray clouds, gentle but raw north winds, and a temperature of 48F +9C.  The fractal cats voiced a few mild complaints about the lack of sun, then settled by the heat.

With the commercial work slowing down, perhaps coming to an end, the humans had a reasonably routine day.  The slow-down could be good news for the fractal fans out there, since it will give me more time for a proper fractal search.  The next FOTD will be posted in 24 hours.  Until then, take care, and I'll find shows about human relationships interesting when FL finds shows about relativity and quantum mechanics interesting.  I say, "who cares how one character feels about another, or whether the woman gets the man."  FL says, "who cares about time slowing down close to the speed of light, or sub-atomic particles being in two places at the same time."

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


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

A_Long_CrookedPath { ; time=0:00:55.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-4.272918015607971/+0.05729311434287565\
  /4.362258e+010/1/-136.5/0 params=10/-0.1/1/2/-0.6/\
  0/0/0 float=y maxiter=500 inside=0 logmap=44
  periodicity=6 mathtolerance=0.05/1
  colors=000hJQgIUeKZbLcZMfVNjSOmONoLMqJKpHImGGjEEgC\
  CdBAa98Z76U64P42K20F028546A68F8AJAFNCKSEPWGUZIZbKc\
  eMhhPmmSmrXmvfmzkmwhmtemqbmnZmkUmhRmjTmkXmiamgemej\
  nczoasz_zqZzzVzkSzzPp`LzzIpRFuzBpG8uz5p52uzCp3MnzU\
  uzUwzUtzUvzUszUzzUuzUrzUrzUrzUrzUrzUrzUrzUrzUrzer6\
  br8_r9YrBVrCSrEPrFzmozmizmdzm_zmVzmQzmLzmrzmnzmjzm\
  fzmbzmZzmVzmRzmNzmJwzXrzUmwSisQdpO_mMWiKRfIHo_UmYU\
  lWUkUUjSciQchPcgNcfLmeJmdHmgDmfEmfEmfEmfEmeEmeFmeF\
  meFmdFmdFmdGmdGmcGmcGmcGizAgzBfyBdxCcvCztCzsDzqDzp\
  DznEzlEzkFziFzgFzfGzdGzzNzyMzwMzuLztLzrKzpKzoJzmJz\
  kIziIzhHzfHzdGzigzhczg`zgYzfVzeSzePzdMzcJzg7zeCzW0\
  zX2zY4zZ6z_8z`AzaCzbEzahzaezaczaazk_zkXzkVzkTzkRzk\
  OzkMzkKzkIzkAzkCzkDzkEzkFzkpzkmzujzugzudzuazuZzuXz\
  uUzuRzuOzuLzuIzuWzuTzuQzuOzuLmzzmzzmzzmzzmzzmzzmzz\
  mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\
  zmzzmzzmzzmzzmzzmzzmzzmzz }

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