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Article #163

Re: Mandelbrot Set

#163
From: Rob Limbert
Date: Thu, 15 Oct 1992 14:41
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In article <1992Oct14.215137.24498@nntp.uoregon.edu>, scavo@cie.uoregon.edu (Tom Scavo) writes:
|> ...There is a Julia set
|> for each  c  and this set lives in the complex plane.  Fix
|> c  and iterate  z -> z^2 + c  for every  z  you can think of.
|> For  c  in the Mandelbrot set, the Julia set is connected.
|> For  c  not in  M , the Julia set is Cantor dust.
|> 

   In fact, isn't it possible to define the Mandelbrot set as the set of
all c whose associated Julia set is connected? Something like:

                 M = {c : J is connected}
                           c
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Message-ID: <1992Oct15.144118.27237@viewlogic.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!noc.near.net!viewlog.viewlogic.com!robl
References: <5f1zj-c@rpi.edu> <1992Oct14.145617.18124@uwasa.fi> <AMALVER.92Oct14161711@eniac.cs.oberlin.edu> <1992Oct14.215137.24498@nntp.uoregon.edu>

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Newsgroups: sci.fractals
Path: arc1-ca.pugleaf.net!sparky!uunet!noc.near.net!viewlog.viewlogic.com!robl
From: robl@macro.viewlogic.com (Rob Limbert)
Subject: Re: Mandelbrot Set
Message-ID: <1992Oct15.144118.27237@viewlogic.com>
Originator: robl@macro
Sender: robl@macro (Rob Limbert)
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Organization: Viewlogic Systems, Inc.
References: <5f1zj-c@rpi.edu> <1992Oct14.145617.18124@uwasa.fi> <AMALVER.92Oct14161711@eniac.cs.oberlin.edu> <1992Oct14.215137.24498@nntp.uoregon.edu>
Date: Thu, 15 Oct 1992 14:41:18 GMT
Lines: 15