Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 (MU) 9/23/84; site mungunni.OZ Path: utzoo!linus!philabs!cmcl2!seismo!munnari!mungunni!sgb From: sgb@mungunni.OZ (Steven Bird) Newsgroups: net.math Subject: Polar Bear Problem Sequel Sequel Sequel Message-ID: <527@mungunni.OZ> Date: Wed, 6-Nov-85 20:02:15 EST Article-I.D.: mungunni.527 Posted: Wed Nov 6 20:02:15 1985 Date-Received: Fri, 8-Nov-85 21:07:46 EST Reply-To: sgb@mungunni.UUCP (Steven Bird) Organization: Machine Intelligence Proj, CompSci, Melbourne Uni Lines: 26 > > The sequel: (1) From how many points on Earth (assuming it's spherical) > > can you ... walk 1 mile south, 1 > > mile west, 1 mile north, and be back where you started? > > How about a more difficult sequel like the following: > > Where on the earth can one walk 1 mile south, 1 mile west, 1 mile > north, AND 1 mile east, and end up at the starting point? > > If you think you have a solution, there should be more... It would be nice > if some mathematically inclined readers could contribute exact and complete > solutions (to both sequels). OK people, how about a complete mathematical analysis of the next sequel: Where on the earth can one walk 1 mile North, 1 mile South, 1 mile East and 1 mile West, and end up at the starting point? Now surely *everyone* out there can send a reply for this one, a great improvement over the mere thirty (or so) postings generated for the previous sequels. :-) -- Steven Bird. {seismo,ukc}!munnari!sgb decvax!mulga!sgb