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From: dim@whuxlm.UUCP (McCooey David I)
Newsgroups: net.puzzle,net.math
Subject: Re: Polar Bear Problem Sequel
Message-ID: <855@whuxlm.UUCP>
Date: Mon, 21-Oct-85 16:53:47 EDT
Article-I.D.: whuxlm.855
Posted: Mon Oct 21 16:53:47 1985
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Xref: watmath net.puzzle:1058 net.math:2406

> The old Polar Bear Problem:  You go somewhere, set up a tent, walk a mile
> south, walk a mile due west, shoot a bear.  Then you drag the bear a mile north
> to your tent & have him for dinner.  What color is the bear?
> 
> The sequel:  (1) From how many points on Earth (assuming it's 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?
> 
>              (2) Describe all of them.
> 
> Judith Abrahms
> {ucbvax,ihnp4}!dual!proper!judith

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).