Fractal visionaries:

Today's fractal, Aftermath, is a slow one, so it might be best to pick up the finished image from a.b.p.f. or alt.fractals.pictures.  Since the par file runs under the manzpower formula in Fractint, no new formula is attached.  The picture shows a stressed out and distorted little midget in the Z^1.455 mandeloid, surrounded by fragments of shapes the greater part of which have gone off the screen into some vague imaginary world.

All fractional order mandeloids, as well as many other fractals, have these discontinuities, which I call slip planes.  They remind me of earthly fault lines.  The discontinuities are a result of the multi-valued nature of the complex log functions, and cannot be eliminated.

Unlike yesterday's fractal, this one received several hours of coloring time, and the effort shows.  On my monitor the larger fragments almost leap off the screen.

Sometimes I am asked what part the artist plays in the field of fractal art.  This picture is a good example of the artist's part.  Give the picture a random coloring scheme; watch how fast the three-dimensional effect vanishes, and how difficult it is to bring back.  Trying to bring flat two-dimensional fractals to a solid three-dimensional reality, as I did with this one, is the approach I usually adopt as I work with colors.  I often spend more time coloring a good fractal than I spent waiting for it to draw.

Tomorrow, I'm going to post a different kind of fractal -- a fractal from an area not too widely explored.  It will be one of those I call undersea fractals because they exist entirely in the "lake" area of trapped points.  I have several formulas that draw nothing outside the lake area, but show unexpected fractal detail within the lake when the lake is colored in some manner.  Some of this detail is of an entirely new character. Until then . . .

Jim Muth
jamth@mindspring.com


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

Aftermath          { ; time=0:03:04.94-SF5 on P4-2000
  reset=1821 type=manzpower
  center-mag=+0.19696911724570230/-0.041960638997905\
  88/1610.876 params=0/0/1.455/0 float=y
  maxiter=10000 bailout=9 inside=0 logmap=yes
  sound=off
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  PNVKPUFRU9TT4_`BghJnpQYT8 }

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