Re: Mandelbrot Set

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Article #154

#154

From: Aaron Malver
Date: Wed, 14 Oct 1992 21:17

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I hope that I'm answering the right question here.

The Mandelbrot set is generated by iterating the equation
Zn+1=Z^2+C for various values of Z.  This was already posted.

Julia sets are generated (at least those associated with the
Mandelbrot set) by fixing Z and allowing C to vary.  There are
some very beautiful Julia sets associated with functions other
that the one above, as well as different "Mandelbrot sets".

There are whole books devoted to the relationships between the
Mandelbrot set and Julia sets.  The mathematics can be quite deep and
very beautiful.  I would recommend any book written by Prof. Devaney
from Boston U.

Aaron Malver
amalver@cs.oberlin.edu
--
Aaron Malver
(amalver@occs.cs.oberlin.edu)
if you can read this, you're too close.

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<1992Oct13.151335.24563@sol.UVic.CA> <1992Oct13.195243.986@nntp.uoregon.edu> <5f1zj-c@rpi.edu> <1992Oct14.145617.18124@uwasa.fi>

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Newsgroups: sci.fractals
Path: arc1-ca.pugleaf.net!sparky!uunet!gumby!destroyer!sol.ctr.columbia.edu!sol.ctr.columbia.edu!amalver
From: amalver@eniac.cs.oberlin.edu (Aaron Malver)
Subject: Re: Mandelbrot Set
Organization: Oberlin College Computer Science
In-Reply-To: cs70361e@brando.uwasa.fi's message of Wed, 14 Oct 1992 14:56:17 GMT
References: <1992Oct13.151335.24563@sol.UVic.CA> <1992Oct13.195243.986@nntp.uoregon.edu>
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Date: Wed, 14 Oct 1992 21:17:11 GMT
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