Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 (Tek) 9/28/84 based on 9/17/84; site tekig4.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!vax135!cornell!uw-beaver!tektronix!tekig3!tekig5!tekig4!tomfi From: tomfi@tekig4.UUCP (Tom Fitzpatrick) Newsgroups: net.puzzle,net.math Subject: Re: Polar Bear Problem Sequel SPOILER!!!!!!! Message-ID: <335@tekig4.UUCP> Date: Mon, 21-Oct-85 16:27:02 EDT Article-I.D.: tekig4.335 Posted: Mon Oct 21 16:27:02 1985 Date-Received: Wed, 23-Oct-85 05:45:43 EDT References: <361@proper.UUCP> Reply-To: tomfi@tekig4tzpatrick.UUCP (Tom Fitzpatrick) Distribution: net Organization: Tektronix, Beaverton OR Lines: 20 Xref: watmath net.puzzle:1063 net.math:2411 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. > >Judith Abrahms >{ucbvax,ihnp4}!dual!proper!judith There are an infinite number of points from which you can make these moves. They all lie on the line of latitude which is exactly one mile north of a latitude line with a circumference of one mile (ie. in walking one mile west, you go through 360 degrees of longitude). The Spitzer