Here's a selection of Rubik's cubes:
http://panix.com/~johnf/temp/rubiks.jpg
The one in the front is easy enough even for Cotty :-)
The others are all the ones that are "interesting" from a
mathematical standpoint. Larger cubes offer no additional
challenge - if you can solve a 5x5x5 you can solve any size.
Note that on the 4x4x4 cube I've added modifications to
differentate the four inner cubelets on each face. This
doesn't really make it any harder to solve; it just means
the solution takes a little longer.
It would be possible to modify a 5x5x5 in the same way, but
I haven't bothered to do that (and I only have one 5x5x5).
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