Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84 + RN 4.3; site inset.UUCP Path: utzoo!linus!philabs!cmcl2!seismo!mcvax!ukc!stc!inset!dave From: dave@inset.UUCP (Dave Lukes) Newsgroups: net.puzzle,net.math Subject: Re: Polar Bear Problem Sequel (SPOILER) Message-ID: <749@inset.UUCP> Date: Tue, 22-Oct-85 09:23:57 EDT Article-I.D.: inset.749 Posted: Tue Oct 22 09:23:57 1985 Date-Received: Thu, 24-Oct-85 06:16:55 EDT References: <361@proper.UUCP> Reply-To: dave@inset.UUCP (Dave Lukes) Distribution: net Organization: The Instruction Set Ltd., London, UK. Lines: 25 Keywords: easy, easy Xref: linus net.puzzle:975 net.math:2040 Xpath: stc stc-a 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. 2) What do you mean ``describe''?? Location?? Scenery?? I've never been to either place, but I suspect they're uniformly cold and icy. Dave Lukes. ...!ukc!inset!dave ``There are NO new ideas in the world, only new ways of misusing old ones.''