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Path: utzoo!watmath!watrose!jhputtick
From: jhputtick@watrose.UUCP (James Puttick)
Newsgroups: net.math
Subject: Re: Strange Shapes
Message-ID: <7116@watrose.UUCP>
Date: Mon, 26-Nov-84 08:13:26 EST
Article-I.D.: watrose.7116
Posted: Mon Nov 26 08:13:26 1984
Date-Received: Tue, 27-Nov-84 03:42:39 EST
References: <176@ihnet.UUCP>, <177@ihnet.UUCP>
Organization: U of Waterloo, Ontario
Lines: 10

The reply about "...all points whose distance is >= 1 unit from the origin"
is not what is intended, as has been noted. However, note also that, if
you are given a surface which encloses a finite volume, then there is
an infinite volume also enclosed by that surface, which is the "outside".
  Any ideas on how to define the problem so that there is no ambiguity?
  My only idea is to propose a different problem: find a surface of finite
area which has both "inside" and "outside" of infinite volume -- and these
two volumes must be distinct.
  My hunch is that no such surface exists...but I don't want to go hunting
for it in any case!