Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
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Path: utzoo!watmath!clyde!burl!ulysses!unc!mcnc!philabs!pwa-b!mmintl!franka
From: franka@mmintl.UUCP (Frank Adams)
Newsgroups: net.puzzle,net.math
Subject: Re: Polar Bear Problem Sequel (SPOILER)
Message-ID: <728@mmintl.UUCP>
Date: Thu, 24-Oct-85 13:29:44 EST
Article-I.D.: mmintl.728
Posted: Thu Oct 24 13:29:44 1985
Date-Received: Mon, 28-Oct-85 03:23:51 EST
References: <361@proper.UUCP> <749@inset.UUCP>
Reply-To: franka@mmintl.UUCP (Frank Adams)
Distribution: net
Organization: Multimate International, E. Hartford, CT
Lines: 26
Keywords: easy, easy
Xref: watmath net.puzzle:1087 net.math:2434
Summary: 


In article <749@inset.UUCP> dave@inset.UUCP (Dave Lukes) writes:
>In article <361@proper.UUCP> judith@proper.UUCP (judith) writes:
>>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.
>>
>I dunno about anyone else, but I though this was junior school
>(?? ``3rd. grade'' is what you colonials say, I think) stuff:
>
>1)	a) The North Pole
>	b) anywhere 1 + 1/(2pi) miles from the south pole
>i.e. an arbitrarily large number of places.

Actually, this isn't yet a complete list.  Change (b) to "anywhere
1 + 1/(2n*pi) miles from the south pole, where n is a positive integer".
This isn't exactly right, either; it assumes the Earth is flat in the
neighborhood of the South Pole.  The exact distances are a little larger.

Frank Adams                           ihpn4!philabs!pwa-b!mmintl!franka
Multimate International    52 Oakland Ave North    E. Hartford, CT 06108