Date: Thu, 24 Apr 1997 07:51:13 -0600
From: rjc@maths.ex.ac.uk
Subject: Re: Okay, give me a name for this polyhedron...
Newsgroups: sci.math

In article <335EFD3B.7ED4@earthlink.net>,  Elfin d'Jecfmi'faut Bure-E'il
lan'Sui-p'ter <elfinj@earthlink.net> wrote:

>
> I would like to know the name of a polyhedron I discovered by accident.
> It has 14 sides - eight equilateral triangles and six squares - and
> twenty-four edges of equal length.
>
> Go to my web page to see a raytraced JPEG image of the shape, as well as
> links to a .X mesh file written to be viewed in the DirectX 3.0 SDK's
> Direct3D Object Viewer.  The viewer and mesh file will allow you to turn
> the shape around to view every angle in real time, or set it spinning
> around the x or y axis.
>
> I've never seen the shape before, and have no idea what to call it.  I
> guess whatever the greek word is for "fourteen" added to "hedron" would
> be the name, but I don't know what that is.  Can anyone help?

This is a cuboctahedron, so called as it's the intersection of
a cube and octahedron, placed and sized appropriately. It's one
of a family of polyhedra called Archimedean solids, which have regular
faces, but not all the same shape. For this and many more polyhedra
see Vladimir Bulatov's virtual polyhedron gallery at
	http://pc153.mt.ic.ac.uk:80/Bulatov/polyhedra/

Robin John Chapman                      "For years I believed Pathos was
Department of Mathematics                one of the Three Musketeers,
University of Exeter, EX4 4QE, UK        Fellatio was a character in
rjc@maths.exeter.ac.uk                   Hamlet,..."
http://www.maths.ex.ac.uk/~rjc/rjc.html    Iain Banks - The Wasp Factory

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