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Date: Tue, 7 Dec 1993 07:38:09 -0500
From: der Mouse <mouse@collatz.mcrcim.mcgill.edu>
Message-Id: <199312071238.HAA16886@Collatz.McRCIM.McGill.EDU>
To: cube-lovers@ai.mit.edu
Subject: Re:  Unique Antipodal of the 3x3x3 Edges

> In answer to the question by Dan Hoey, I printed out the unique
> antipodal of the 3x3x3 edges [...].

> It is really quite extraordinary and wonderful.  [...].  Without
> further ado:

Someone else remarks that it's "got to be all edges flipped in place",
and Jerry Bryan remarks that it is.

>           *6*              *6*
>           6*6              3*4
>           *6*              *1*
>           *2*              *5*
>           2*2              3*4
>           *2*              *2*
>        *3**1**4*        *1**1**1*
>        3*31*14*4        5*23*42*5
>        *3**1**4*        *6**6**6*
>           *5*              *2*
>           5*5              3*4
>           *5*              *5*

I disagree.  Look at the 1-2 edge.  If it's "flipped in place", then
since it appears to be fixed, the cube must flip around it.  But then
the four 3 faces would be where the 4 faces actually are.  No, it's
more complicated than just all-edges-flipped.

"[Q]uite extraordinary and wonderful" it is.

					der Mouse

			    mouse@collatz.mcrcim.mcgill.edu