Fractal visionaries and enthusiasts:

Today's image takes us into the lowlands, the land of Z^(1.333) to be exact.  We check the area 1333 levels up the complex-logarithmic hyper-ladder, where we find a distorted Mandeloid facing southwest.  This Mandeloid is easily recognized as a distorted Mandelbrot set, but its straight main stem, pointing southsouthwest, has grown to an incredible length, terminating at a distance around 8 from the origin.  Today's image lies well out on this stem.

I named the image "Filamentary Chaos" because of the zig-zagging network of filaments all through it.  I have not yet checked the tiny minibrot at the center, and probably never will, since I doubt that much of interest lies down there.

The rating of a 7-1/2 indicates that I feel the image could have been improved with some more work, but due to an attack of laziness, I let it go as is.

The calculation time of 1-1/2 minutes is reasonable; viewing the finished image on one of the web sites is more reasonable.

The day began with a few clouds here at Fractal Central, but by noon the clouds vanished, leading to a splendid afternoon of total sunshine, which brought out the best in the fractal cats.  Nicholas set up shop on the new lamp table, which he has now made into a cat table, while Cassie curled up on the scratching post next to Nicholas.  FL and I had a typical day.  At lunch, we almost got involved in a discussion about the addictions plaguing western culture, but common sense ultimately prevailed and the subject changed to the weather.

The next FOTD will be posted in 24 hours; most likely it will appear as scheduled.  Until next time, take care, and don't even think of trying to list all the addictions afflicting our 'western' society.

Jim Muth
jimmuth@earthlink.net


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

Filamentary_Chaos  { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1 float=y
  center-mag=-1.776392325500523/-7.344818351189372\
  /1.188619e+010/1/140/0 params=1.333/0/1333/0
  maxiter=15000 inside=0 periodicity=6
  colors=000lR_jTZhVZfWZdYYbZYa`Y_bXYcXWmcUmcSmcQmmO\
  zzMzzLzzKzUJzzIzzHzUGzzFmUEmUDmUCmUBmUAlU9kU8iU7gU\
  6eU5cU4XU3RU0PW3KU6KT8KSBUREUPGUOJUNLUMOUKRUJTUIWU\
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  U__U`aUbbUccUeeUffUheUkgUiiUhjUglVfmYdo`cpbbreazh_\
  zkZznYzqXzsWzpXznXzlXziYzgYzeYtcZt`ZsaZsb_rc_qd_qe\
  `pf`pg`ohanianjamkbmlblmbznbhoZepWaqTZrPVsMStJOuFL\
  vCHw9Ex6ayWyztuzqrzoozmlzkhziezgbze_zcWzaTz_QzYNzW\
  JzUGzSDzQAzO5zI7zM8zQ9zU7zWAzXDzXGzXIzXLzYOzYRzYTz\
  YWzZZzZazZgzYczZ_zZWz_TzlTz_QzWOzTMzPKzMHzLFzLDzKB\
  zK9zK7zJ5zJ3zJ7zIBzIFzIJzINzIRzHVzHZzHXzRazMezIL80\
  900C00F00I00L20O40R60U80VB0YD0_F0aI0dK0eQ0fO0hV0kX\
  0lZ0m`0nb0od0pf0qh0rj0sl0tn1up2vr1wt1ur2sp2qn3ol3m\
  j4kh4if5gd5eb5c`6aZ6_X7YV7WT8UR8SP8QN9OL9MJAKHAIFB\
  GDBB9AECBGECIGCKIDMKDOMEQOFSQKUSPWUUYWZ_Yca_hcamec\
  rh`wjYzlVznSzpPzrMzpOmnQd }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100, p=real(p2)+PI
  q=2*PI*floor(p/(2*PI)), r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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