Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10 5/3/83; site cmu-cs-g.ARPA Path: utzoo!linus!decvax!tektronix!hplabs!hao!seismo!rochester!cmu-cs-pt!cmu-cs-g!monta From: monta@cmu-cs-g.ARPA (Peter Monta) Newsgroups: net.math Subject: list of points problem Message-ID: <208@cmu-cs-g.ARPA> Date: Fri, 28-Dec-84 07:06:50 EST Article-I.D.: cmu-cs-g.208 Posted: Fri Dec 28 07:06:50 1984 Date-Received: Sat, 29-Dec-84 23:12:53 EST Organization: Carnegie-Mellon University, CS/RI Lines: 20 > Unless I've made a terribly stupid mistake in my program, the answer is 17. > Why 17, you ask? It's obvious: 17 is the largest integer less than 18 :-). > > Ed Sheppard > Bell Communications Research Yes, I got 17 too. The first solution of length 17 (lexicographic order) is ( 0 7/13 11/13 4/15 12/17 5/12 12/13 2/15 8/13 1/3 10/13 1/5 8/17 16/17 1/15 11/17 6/17 ) As to why there aren't solutions of length 18, the only feeling I have is that there are relatively few new terms in the 18th Farey list (six, compared with sixteen new terms at the 17th); this sort of constricts the search. I haven't even been able to show that there isn't a sequence whose first n terms is a solution for every n (except, of course, by computer program). Peter Monta ARPA: monta@cmu-cs-g UUCP: ...!rochester!cmu-cs-pt!cmu-cs-g!monta