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Path: utzoo!linus!philabs!cmcl2!seismo!harvard!bu-cs!hen
From: hen@bu-cs.UUCP (Bill Henneman)
Newsgroups: net.math
Subject: Re: Which has more points, the unit square, or the unit line segment ?
Message-ID: <374@bu-cs.UUCP>
Date: Mon, 29-Apr-85 08:45:20 EDT
Article-I.D.: bu-cs.374
Posted: Mon Apr 29 08:45:20 1985
Date-Received: Thu, 2-May-85 06:24:16 EDT
References: <1767@decwrl.UUCP>, <52@bnr-vpa.UUCP>
Organization: Boston Univ Comp. Sci.
Lines: 8

The map which takes alternate digits of a point on the line into points in
the plane isn't 1-1: consider the two numbers
	13.194979493959....
and
	14.104070403050...

Both points map into
	(1.147435... , 4).