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Path: utzoo!watmath!clyde!cbosgd!cbdkc1!ask
From: ask@cbdkc1.UUCP (A.S. Kamlet)
Newsgroups: net.puzzle
Subject: Polar Bear Problem Sequel (spoiler)
Message-ID: <1183@cbdkc1.UUCP>
Date: Sun, 20-Oct-85 19:46:48 EDT
Article-I.D.: cbdkc1.1183
Posted: Sun Oct 20 19:46:48 1985
Date-Received: Mon, 21-Oct-85 04:01:36 EDT
Reply-To: ask@cbdkc1.UUCP (A.S. Kamlet)
Followup-To: <361@proper.UUCP>
Distribution: net
Organization: AT&T Bell Laboratories, Columbus
Lines: 28

> 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

Well, there's the North Pole.  And there's a bunch of points near the South
Pole. 

[Rot 13]
Pbafvqre n pvepyr bs yngvghqr jvgu pvephzsrerapr = 1/A zvyr [ A=1,2, ... ]

N frg bs fhpu pvepyrf vf ybpngrq irel pybfr gb gur Fbhgu Cbyr.

1.  Fgneg ng nal cbvag ybpngrq rknpgyl 1 zvyr abegu bs nal fhpu pvepyr.
2.  Zbir fbhgu bar zvyr naq lbh ernpu gur pvepyr.
3.  Zbir jrfg (be rnfg) rknpgyl A gvzrf, r.t., 1 zvyr, naq lbh erghea
    gb gur cbvag jurer lbh ragrerq gur pvepyr.
4.  Gura zbir abegu 1 zvyr nybat gur cngu lbh bevtvanyyl gbbx, naq
    lbh ner ng gur fgnegvat cbvag.

-- 
Art Kamlet  AT&T Bell Laboratories  Columbus {ihnp4 | cbosgd}!cbrma!ask