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From: allan@alice.UucP (Allan Wilks)
Newsgroups: net.math
Subject: Re: Is the Mandelbrot set a fiction??
Message-ID: <4407@alice.UUCP>
Date: Tue, 8-Oct-85 23:39:35 EDT
Article-I.D.: alice.4407
Posted: Tue Oct  8 23:39:35 1985
Date-Received: Fri, 11-Oct-85 07:27:48 EDT
References: <418@aero.ARPA> <646@petsd.UUCP>, <221@epicen.UUCP>
Organization: Bell Labs, Murray Hill
Lines: 7

> ... to show that all real, negative c's in [-2,0] are in the set. It's only 
> slightly trickier to see that no point on the positive real axis is in
> the set (each term is at least c^2 greater in magnitude than the previous
> term, so the sequence goes to infinity).

The Mandelbrot set intersects the real axis in [-2,0.25].  0 is always
attracted to a fixed point for c in [-0.75,0.25].