Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site princeton.UUCP Path: utzoo!watmath!clyde!burl!ulysses!allegra!princeton!jsl From: jsl@princeton.UUCP (Jong Lee) Newsgroups: net.puzzle,net.math Subject: Re: Polar Bear Problem Sequel Message-ID: <1135@princeton.UUCP> Date: Tue, 22-Oct-85 12:29:12 EDT Article-I.D.: princeto.1135 Posted: Tue Oct 22 12:29:12 1985 Date-Received: Wed, 23-Oct-85 06:12:33 EDT References: <361@proper.UUCP> <367@faron.UUCP> <10755@ucbvax.ARPA> Distribution: net Organization: Princeton University EECS Dept Lines: 25 Xref: watmath net.puzzle:1065 net.math:2413 > In article <367@faron.UUCP> bs@faron.UUCP (Robert D. Silverman) writes: > >> The old Polar Bear Problem: ... > >> 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 > > the bear could be any color right? I mean, you could start exactly on the north pole, and follow the prescribed route to get back to N; so he could be white. But as Mr. 9 said, there are infinite # of soln's around the south pole, where no polar bears exist, just penguin opuses. Sun_Man > By the way: heat causes metal to expand. If you have a piece of metal > with a spherical hole in it, does the hole expand, contract, or remain > the same when the metal is heated? What about a square hole? I don't > know the answer! > the hole expands as well....also true for square "holes". > ...ranjit bhatnagar > > (Disclaimer! If they knew what I was doing, they'd stop me.) *** REPLACE THIS LINE WITH YOUR MESSAGE ***