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From: hes@ecsvax.UUCP (Henry Schaffer)
Newsgroups: net.puzzle,net.math
Subject: Re: Polar Bear Problem Sequel  **SPOILER**
Message-ID: <606@ecsvax.UUCP>
Date: Sat, 19-Oct-85 21:09:56 EDT
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Posted: Sat Oct 19 21:09:56 1985
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Xref: watmath net.puzzle:1049 net.math:2396

> The old Polar Bear Problem:
> 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

  There is an infinite number of them, all close to the S pole.  Take any
circle around the S pole which has a circumfrence  (1 mile)/n for n=1,2,...
and draw another concentric circle 1 mile further away (N) from the pole.
Then any point on this latter circle fits the description.
--henry schaffer