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Path: utzoo!watmath!clyde!burl!ulysses!allegra!oliveb!hplabs!sdcrdcf!sdcsvax!hutch
From: hutch@sdcsvax.UUCP (Jim Hutchison)
Newsgroups: net.graphics,net.math
Subject: Re: Mandelbrot set problem
Message-ID: <1188@sdcsvax.UUCP>
Date: Sun, 10-Nov-85 19:21:22 EST
Article-I.D.: sdcsvax.1188
Posted: Sun Nov 10 19:21:22 1985
Date-Received: Wed, 13-Nov-85 08:28:56 EST
References: <2346@flame.warwick.UUCP>
Reply-To: hutch@sdcsvax.arpa (Jim Hutchison)
Organization: UCSD EMU Project (Educational Microcomputer Unix)
Lines: 29
Xref: watmath net.graphics:1261 net.math:2511
Summary: 

In article <2346@flame.warwick.UUCP> kay@flame.UUCP (Kay Dekker) writes:
>
>The browser decides that a point lies within the set if its magnitude after
>a maximum number of iterations is < 2.0.
>
Is this the set relating to the inverse function f(z) = z^2 + c?  I guess
that is what you are up to (Really, there is much more).  You get to iterate
the function.  It is infact very time consuming.  If you wish to just get
outlines, then it is cheaper (use error analysis, see also Bresenham, who
is never sufficiently blessed).  The reason for the choice of 2.0 is that
for this given function, if it passes the value of 2.0, then it is going
to go to infinity (which is what you are really checking for).  The
"Mandelbrot Space", (not my term, just as a touchstone), is the area where
the function never goes to infinity.  The pretty colors ('stones'), are
chosen by the speed at which practical infinity is reached.

2.0 = infinity, for proper values of 2.0 :-)

>"Be careful: the system is complex and chaotic, though it
> has many attractive features..."
>				_The Pot-holes of the Yorkshire Moors_
Fractals?

-- 
/*
	Jim Hutchison	UUCP:	{dcdwest,ucbvax}!sdcsvax!hutch
			ARPA:	hutch@sdcsvax
  [ Of course, these statements were typed into my terminal while I was away. ]
*/