Fractal of the Day
by Jim Muth

Into the Abyss ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- November 15, 2006   (No Rating)

Fractal visionaries and enthusiasts:

Today's brief diversion takes us to the fractal that results when Z^5.9 is subtracted from Z^3.1 before C is added.   This parent fractal is a distorted but quite recognizable Mandeloid rotated 180 degrees, with East Valley, which is now on the west side of the main bay, broadened into a wedge.   Today's scene is located in a disconnected but intricate bit of chaos near the north edge of the wedge blade.

I gave the image no rating, though it really is good enough to deserve one.   I named the picture "Into the Abyss".   "Which abyss?" one might ask.   Why the bottomless fractal abyss of course.   After all, the parent fractal is half-infinite.   Like heaven, which has a beginning but no end, the parent fractal has a limit in only one direction.   It has a top but no bottom.

The render time of 20 minutes is slightly slow, but relief for impatience is available on the FOTD web site at:where the image is posted for quick and easy viewing.

Clouds and drizzle hung tough over Fractal Central on Tuesday.   The local fractal cats finally grew tired of the new arrangement of bookshelves, and spent most of the day just sitting on their shelf by the window, waiting for something interesting to happen outside.   Not much ever did.   They did not grow totally enthusiastic until the time for their evening treats arrived.

My department was moderately busy.   Everything that needed to be done was done.   Tomorrow looks to be much the same.   The next FOTD will appear in 24 hours.   Until then, take care, and if computers ever start to dream, what will they dream about?


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

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

Into_the_Abyss     { ; time=0:20:03.80--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.38458880872176210/+0.018519891011102\
  90/2.202793e+007/1/35/1.46862571727413016e-006
  params=1/3.1/-1/5.9/0/0 periodicity=10 maxiter=7500
  float=y inside=0 logmap=340
  colors=00028T4GQ6NU8VZ9oUB`WD_XEZZGY_IY`JXbLWcNVdO\
  VfQUgSTcTSeVSfXRgYQi_PjsPkZCYYOkWNeVNcTNaSM`QM`PM`\
  NL`ML`KL_JKZHKYGKYLIVQGSUEPZCLcAHg9EmICsRBxZAsWCoU\
  DkSEfQFbOGZMIUKJQIKMGKIEKHDKHDKHDKGDKGDKGDKFDKFDMF\
  DOEDQEDSEDTDDTDDUDDUCDVCDVCDWCDWZpLXkOVgRUcTSZWRVZ\
  PR`ONcMIfLEhJAkI6mJ8jJAgJBeJDbJF`JGYJIWJKTJLRJNOJO\
  MGUJDZHAdE7iC4o91t74s96sB8sDBrEDrGFrIIqKKqLMqNPqPR\
  rRTsSmsUutWotXlvWbsS_pPXnMUkJRhFOgCLe9Ic6Fb3GZ9HWF\
  HTKIPQIMVJJ`JFeKCkD6vH8sK9pNAmQCjTDgWEdZFbaH_dIXgJ\
  UjLRmMOpNLsOJrRLqUNpUOoZQzrSncTm`RlZPkXzjVziTzhRzg\
  PFfMEeKCdIAcG8bE6aC4`A2`81YC5WG9TJDRNHOQLMUOJYSH`W\
  Ed_Cmz9kz7nz6mz6gh6dg6af6Ze5Wd5Tc5Qb5Na6Bn5Gg5K`4O\
  U4SN4WH8VIBVJFUKIULMTMPTNSTOWUPZZQbcRehSimTlrUxvao\
  zUgzM_zESz6Uz8Vz9XzAYzBZzC`zDzzEzzFzzHzzIzzJzzKzzL\
  zzMzzNzzGzzKzzOzzTzzSzzSzzSzzSzzSzzRzzRzzRzzRzzRzz\
  QzzQzzQzzQzzQzzPzzQzzRzzS }

frm:MandelbrotMix4 {; 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,
  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=========================================




Want to view, create, or know more about fractals?

Go to my Fractal Links webpage,
to the renowned Fractal Census,
or to the revised Spanky Fractal Database.

Plus, to my hostings of:
O's Fractal Art Gallery.

Go to my Fractal Pages on this site, or
to his latest web pages for Fractals.

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