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From: avg@navajo.UUCP
Newsgroups: sci.math
Subject: Re: Inscribed pentagon...Help!
Message-ID: <1022@navajo.STANFORD.EDU>
Date: Sat, 25-Oct-86 00:55:12 EST
Article-I.D.: navajo.1022
Posted: Sat Oct 25 00:55:12 1986
Date-Received: Sun, 26-Oct-86 01:37:13 EST
References: <2595@ihlpg.UUCP>
Reply-To: avg@navajo.UUCP (Allen Van Gelder)
Distribution: net
Organization: Stanford University
Lines: 7

Put the pentagon like a house, flat side down.  Now put the square
around it like a diamond.  The pentagon touches all 4 sides of the
square and is held rigidly, thus is locally maximum.  I.e., any slightly
different orientation of the same sized square would force the pentagon
to be smaller.
Now convince yourself that there is no other local maximum, i.e., rigid
orientation, and move on to something else.