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From: gwyn@brl-tgr.ARPA (Doug Gwyn <gwyn>)
Newsgroups: net.math
Subject: Re: Surface Area Query
Message-ID: <3325@brl-tgr.ARPA>
Date: Sun, 17-Nov-85 18:57:33 EST
Article-I.D.: brl-tgr.3325
Posted: Sun Nov 17 18:57:33 1985
Date-Received: Mon, 18-Nov-85 07:49:20 EST
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> Is there a general method for determining the surface area of an arbitrary sur- face or solid similar to (or not similar, for that matter) using displacement
> to determine the volume of a solid.  Note that this includes 2-d surfaces in
> E^3.

Well, you could try electroplating or adsorption under some
circumstances, but I don't think there's anything as elegant
for this as the use of immersion displacement to determine volume.

Of course, in theory the surface area of a bounded solid
of finite volume could be infinite..