Wednesday, May 24, 2017

[bjacwkze] 4 cubes

A cube with distinct faces can be rotated to 24 different orientations.  Curiously, there are also 24 permutations of 4 objects, so 4 cubes can be in 24^5 different states, about 8 million.

Vaguely similar is the isomorphism between 60 orientations of an icosahedron and the alternating group A[5].

No comments :