From: utzoo!decvax!ucbvax!CAD:tektronix!tekecs!steveb
Newsgroups: net.physics
Title: A Mathematical Question
Article-I.D.: tekecs.612
Posted: Fri Mar 11 13:32:14 1983
Received: Sun Mar 13 05:39:58 1983

	Ever hear a claim like "Podunk County has more miles of beaches
than the Atlantic Ocean"?  This leads me to ask:
	Take a perfectly circular lake with diameter 1 / pi and thus a 
circumference (shoreline) of 1.  Now deform the shoreline by filling in
parts of the lake (i.e. the new lake may have any shape whatsoever as 
long as it lies entirely within the boundaries of the old lake).
	What is the maximum shoreline you could obtain in this way?
	Can an algorithm be specified that tells one how to deform the
original so as to get to the maximal?
	What is its shape?

	It seems to me that posting responses to the net is appropriate,
but if you wish to mail me something probably not of general interest, I am:
	ucbvax!teklabs!tekecs!steveb	or
	decvax!tektronix!tekecs!steveb		(DONT use header address)