Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!linus!decvax!decwrl!flairvax!ellis From: ellis@flairvax.UUCP (Michael Ellis) Newsgroups: net.math Subject: Re: Icosahedron Vertices Message-ID: <155@flairvax.UUCP> Date: Mon, 11-Jul-83 05:50:03 EDT Article-I.D.: flairvax.155 Posted: Mon Jul 11 05:50:03 1983 Date-Received: Tue, 12-Jul-83 05:19:37 EDT References: ucbtopaz.218 Lines: 19 If I'm not mistaken, these twelve points in threespace should make a really swell icosahedron: (+-t, 0, +-1) (+-1, +-t, 0) (0, +-1, +-t) ...where "+-" means "plus or minus" (so each parenthesized glorb represents four points) and "t" is "tau" (damn barbarian keyboards got no greek letters) which is the thoroughly cosmic "golden mean": t = (1 + sqrt(5)) / 2 There are so many "coincidences" involving this number that further discussion would belong in net.religion. We could really clean up that newsgroup, you know. Michael Ellis - Fairchild AI Lab - Palo Alto CA - (415) 321-0990