based on the symmetry point-group, how many 'different' sets of 1, 2, .., 10 vertices exist on a dodecahedron? If I count different norms of sums of 1, 2, .., 10 unit vectors, I find: 1,5,12,22,34,50,65,78,78,86 but there might be 'different' sets that accidentaly sum to the same resultant's norm. So, the given integers are a lower bound. W.