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From: hopp@nbs-amrf.UUCP (Ted Hopp)
Newsgroups: net.puzzle,net.math
Subject: Re: Polar Bear Problem Sequel  **SPOILER**
Message-ID: <41@nbs-amrf.UUCP>
Date: Mon, 28-Oct-85 20:17:48 EST
Article-I.D.: nbs-amrf.41
Posted: Mon Oct 28 20:17:48 1985
Date-Received: Fri, 1-Nov-85 00:45:46 EST
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Xref: linus net.puzzle:1026 net.math:2083

> > 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.
> 
>   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.

Partial credit.

You forgot one other point: the N pole.
-- 

Ted Hopp	{seismo,umcp-cs}!nbs-amrf!hopp