Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!watmath!clyde!rutgers!sri-spam!sri-unix!hplabs!sdcrdcf!ucla-cs!cc From: cc@locus.ucla.edu (Mitch) Newsgroups: net.puzzle,sci.math.stat Subject: Re: Triangles in Space Message-ID: <2664@curly.ucla-cs.ARPA> Date: Tue, 4-Nov-86 00:31:35 EST Article-I.D.: curly.2664 Posted: Tue Nov 4 00:31:35 1986 Date-Received: Wed, 5-Nov-86 05:33:53 EST References: <1550001@hpcnof.UUCP> <200@clan.UUCP> Reply-To: cc@LOCUS.UCLA.EDU (Mitch) Distribution: net Organization: UCLA Computer Club Lines: 17 Keywords: triangles, probabilistic geometry, silly Euclidean preferences Xref: watmath net.puzzle:2135 sci.math.stat:17 Maybe I should have caught up on this newsgroup before rushing off that last reply. I seem to be the only one to interpret "space" in the original posting as referring to the final frontier. If we must think of it in terms of pure geometry, why this silly preference for a space with zero curvature? If we assume positive curvature, as for Riemannian spherical geometry, we lend an entirely new twist to the problem. Seriously, consider three points chosen in such a space - I think the problem is a little more interesting. Mitch Gunzler --- and then I said, "alright, what IS the 3n+1 problem?"