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Path: utzoo!linus!decvax!harpo!ihnp4!stolaf!kragness
From: kragness@stolaf.UUCP (Jeffrey G. Kragness)
Newsgroups: net.math
Subject: So you think you're good at geometry?
Message-ID: <1290@stolaf.UUCP>
Date: Thu, 12-Jan-84 17:34:23 EST
Article-I.D.: stolaf.1290
Posted: Thu Jan 12 17:34:23 1984
Date-Received: Sat, 14-Jan-84 07:31:56 EST
Organization: St. Olaf College, Northfield MN
Lines: 11

We are working on a sphere-packing problem and are trying to find
the volume of the gaps formed when spheres are packed together
in their optimal way.  We are running up against a wall and
if anyone could offer some suggestions as to how to solve the following
sub-problem, it would help us a great deal:

What is the volume of the intersection of a sphere of radius
one and a regular tetrahedron with a vertex at the center of the sphere?
(The tetrahedron can be considered to be very large.)