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Sigh, my goemetry needs to be zapped back into working order. I

really did mean icosahedron instead of dodecahedron (they both

have 12 faces). I was originally thinking of the fixed axes

pointing at the center faces, but pointing at the vertices is an

interesting idea. I shall have to think about it a little.

About the general case: "slice a sphere a buncha times." Holding

it together is REALLY the tricky part. Consider the 7x7x7 CUBE.

Do a 45 degree clockwise rotation on the top face (half a quarter

twist). The problem is that the ENTIRE FRU corner cubie

COMPLETELY hangs over the front face. This means that the 3-D

jigsaw-puzzle idea that keeps the 3x3x3 cube together will not

work on order 7 and higher order CUBES.