From: NOEL@ERICH.TRIUMF.CA (GIFFIN,NOEL)
Newsgroups: alt.binaries.pictures.fractals
Subject: REDFLUFF.GIF part (00/21) fractint formula type 1024x768 gif89a
Date: 6 May 1994 20:12:52 GMT
Organization: TRI-UNIVERSITY MESON FACILITY
Distribution: world
NNTP-Posting-Host: erich.triumf.ca
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	REDFLUFF.GIF information and comments.

	This fractal is another in the series from the quartet formula, which
turns out to be quite versatile, (stargate, scarab2, quartet1, and many others
I haven't posted). The trick is to find the critical values for the complex P1
parameter used in the iteration. You will notice disks of various shades and
sizes on the periphery of this image. These are an artifact from the formula
and can be used as a gauge when exploring this equation. The real and imaginary
components of P1 can be adjusted to diminish the size of the disks. The smaller
the disks the more detail in the image, and the higher the iteration required 
to resolve it, until you cross a critical point where the microstructure
mandelbrot. It is like picking julias right on the border of the mandelbrot.
Outside is cantor dust, inside is all connected, but right on the border the
julias have the most detail. This formula is similar. One side will give large
disks, and the other side will show large area of maximum iteration. The trick
is to locate the boundary by successive approximation, as you haven't got the
mandelbrot to guide you. Zooming in is difficult until you first find your
value, as minor changes in the P1 parameter will produce wild swings in
position and structure once you are zoomed in a little way. So find a value 
of P1 that looks promising and then zoom in on the structure you find 
interesting. An afterthought. Maybe the critical values are those on the
border of the lambda(sin) fractal. Perhaps that is the relationship between
these formula.

	With this image I was torn between zooming in to show the 
at the ends of the arms. Life is always a compromise. Hope you enjoy it.

					Noel@triumf.ca