Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.2 9/5/84; site ssc-vax.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!vax135!cornell!uw-beaver!ssc-vax!gml
From: gml@ssc-vax.UUCP (Gregory M Lobdell)
Newsgroups: net.puzzle,net.math
Subject: One last solution for the Polar Bear Problem
Message-ID: <304@ssc-vax.UUCP>
Date: Mon, 21-Oct-85 14:24:41 EDT
Article-I.D.: ssc-vax.304
Posted: Mon Oct 21 14:24:41 1985
Date-Received: Wed, 23-Oct-85 03:45:14 EDT
References: <361@proper.UUCP> <367@faron.UUCP>
Distribution: net
Organization: Boeing Aerospace Co., Seattle, WA
Lines: 19
Xref: watmath net.puzzle:1060 net.math:2407

> > The sequel:  (1) From how many points on Earth (assuming spherical etc)
> > 		 can you make exactly these moves, i.e., walk 1 mile south, 1
> > 		 mile west, 1 mile north, and be back where you started?
> > Judith Abrahms
> 
> The problem is trivial. There are an infinite number of such points lying
> on an infinite number of concentric circles centered on the south pole.
> The point is that you can walk N times around a circle whose radius is
> 1/(2 PI N) and still walk only 1 mile. Walking due west keeps you on the
> circle.
> 
> Bob Silverman  (they call me Mr. 9)

You all missed one point in all your infinities.  There is also the
north pole.  A mile south, a mile west, a mile north, puts you back
at the north pole.  

My humble apologies if this has appeared before,
Gregg Lobdell