# Ben Halpern's Tetrahedron
# 4 faces rotate
tetra := Group( (1,3,5)(2,4,6)(7,13,24)(12,18,23)(11,17,22), (7,9,11)(8,10,12)(22,15,3)(2,21,14)(1,20,13), (13,15,17)(14,16,18)(11,20,5)(10,19,4)(9,24,3), (22,20,24)(21,19,23)(7,15,5)(8,16,6)(9,17,1) );; # Size (tetra) = 3,732,480; # # Centre (tetra) = (2,12)(4,18)(6,23)(8,21)(10,14)(16,19); # # Tetrahedron has 6 edges, 4 corners # 6! /2 * 2^5 * 4!/2 * 3^3
Just a few more combinations than a 2x2x2 pocket cube...
-> Mark <-