Dan Hoey writes in his e-mail message of 1994/11/08
Wow, I didn't realize this sort of calculation had been automated.
Hey, we do this stuff every day. Really.
Well at least with a loose interpretation of ``this sort of''.
Dan Hoey continues
gap-3.4 -b -g 4m gap> Sum( ConjugacyClasses( M ), > c -> Size( Centralizer(G,Representative(c)) ) / 48 * Size(c) ); 901083404981813616
Well, call me John Henry. Say, do you have gap libraries for other
magic polyhedra? For higher-dimensional magic?
I also have a permutation representation for the 2x2x2 and the 4x4x4
cube. I must confess that I was never interested in other magic
I once started writing a GAP function that creates a premutation
representation for any (hyper-)cube, i.e., 'Cube( 3, 3, 3, 2 )' would
create a 4-dimensional magic domino. The largest problem was to define
what the ``faces'' and ``slices'' are, i.e., are they 2 or n-1
If there is interest, I would finish this project and also collect
permutation representations for other magic polyhedra and distribute
them together with future versions of GAP.
Have a nice day.
-- .- .-. - .. -. .-.. --- ...- . ... .- -. -. .. -.- .- Martin Sch"onert, Martin.Schoenert@Math.RWTH-Aachen.DE, +49 241 804551 Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, 52056 Aachen, Germany