Article View: sci.fractals
Article #163Re: Mandelbrot Set
From: Rob Limbert
Date: Thu, 15 Oct 1992 14:41
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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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) Nntp-Posting-Host: macro 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