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From: sgb@mungunni.OZ (Steven Bird)
Newsgroups: net.math
Subject: Polar Bear Problem Sequel Sequel Sequel
Message-ID: <527@mungunni.OZ>
Date: Wed, 6-Nov-85 20:02:15 EST
Article-I.D.: mungunni.527
Posted: Wed Nov  6 20:02:15 1985
Date-Received: Fri, 8-Nov-85 21:07:46 EST
Reply-To: sgb@mungunni.UUCP (Steven Bird)
Organization: Machine Intelligence Proj, CompSci, Melbourne Uni
Lines: 26

> > The sequel:  (1) From how many points on Earth (assuming it's spherical)
> > 		 can you ... walk 1 mile south, 1
> > 		 mile west, 1 mile north, and be back where you started?
> 
> How about a more difficult sequel like the following:
> 
> 	Where on the earth can one walk 1 mile south, 1 mile west, 1 mile
> 	north, AND 1 mile east, and end up at the starting point?
> 
> If you think you have a solution, there should be more...  It would be nice
> if some mathematically inclined readers could contribute exact and complete
> solutions (to both sequels).

OK people, how about a complete mathematical analysis of the next sequel:

 	Where on the earth can one walk 1 mile North, 1 mile South,
	1 mile East and 1 mile West, and end up at the starting point?

Now surely *everyone* out there can send a reply for this one,
a great improvement over the mere thirty (or so) postings generated
for the previous sequels.  :-)

--
Steven Bird.
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