From:

~~~ Subject:

On Wed, 7 Feb 1996, Mark Longridge wrote:

Further Cube Musings ====================We usually think of positions antipodal to start only, but there are

positions antipodal to any given position.Given a small enough subgroup of the cube, i.e. one which we can

exhaustively study, it is not hard to determine some examples.

I guess I didn't understand the thrust of this note. Isn't it a bit simpler?

Let H be some subgroup of G, let A be the set of antipodes of Start within

H, and let h be some element of H. Then, don't we simply have that the

antipodes of h are the set hA, where hA={ha | a in A}?

= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) jbryan@pstcc.cc.tn.us Pellissippi State (423) 539-7127 10915 Hardin Valley Road (423) 694-6435 (fax) P.O. Box 22990 Knoxville, TN 37933-0990