Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site bnrmtv.UUCP Path: utzoo!watmath!clyde!burl!ulysses!allegra!oliveb!3comvax!bnrmtv!perkins From: perkins@bnrmtv.UUCP (Henry Perkins) Newsgroups: net.puzzle,net.math Subject: Re: Polar Bear Problem Sequel Message-ID: <195@bnrmtv.UUCP> Date: Mon, 21-Oct-85 20:18:24 EDT Article-I.D.: bnrmtv.195 Posted: Mon Oct 21 20:18:24 1985 Date-Received: Wed, 23-Oct-85 04:14:27 EDT References: <361@proper.UUCP> Distribution: net Organization: Bell Northern Research, Mtn. View, CA Lines: 11 Xref: watmath net.puzzle:1061 net.math:2409 > 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 infinitely many. The points are at (1) the north pole, and (2) a circle of points 1 mile north of the circle with circumference 1 mile centered around the south pole. {hplabs,amdahl,3comvax}!bnrmtv!perkins --Henry Perkins