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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