Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.3 4.3bsd-beta 6/6/85; site ucbvax.ARPA
Path: utzoo!watmath!clyde!burl!ulysses!ucbvax!ucbzooey!c160-3ay
From: c160-3ay@ucbzooey.BERKELEY.EDU (Ranjit Bhatnagar)
Newsgroups: net.puzzle,net.math
Subject: Re: Polar Bear Problem Sequel
Message-ID: <10755@ucbvax.ARPA>
Date: Mon, 21-Oct-85 03:38:10 EDT
Article-I.D.: ucbvax.10755
Posted: Mon Oct 21 03:38:10 1985
Date-Received: Tue, 22-Oct-85 04:58:43 EDT
References: <361@proper.UUCP> <367@faron.UUCP>
Sender: usenet@ucbvax.ARPA
Reply-To: c160-3ay@ucbzooey.UUCP (Ranjit Bhatnagar)
Distribution: net
Organization: University of California, Berkeley
Lines: 28
Xref: watmath net.puzzle:1056 net.math:2403

In article <367@faron.UUCP> bs@faron.UUCP (Robert D. Silverman) writes:
>> 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
>
>The problem is trivial. There are an infinite number of such points lying
>on an infinite number of concentric circles centered on the south pole.
>The point is that you can walk N times around a circle whose radius is
>1/(2 PI N) and still walk only 1 mile. Walking due west keeps you on the
>circle.
>
>Bob Silverman  (they call me Mr. 9)

But what color is the bear?

Will a penguin do?  

By the way: heat causes metal to expand.  If you have a piece of metal
with a spherical hole in it, does the hole expand, contract, or remain
the same when the metal is heated?  What about a square hole?  I don't
know the answer!

...ranjit bhatnagar

(Disclaimer!  If they knew what I was doing, they'd stop me.)