Wikipedia Talk:Penrose tiling Multiple tilings and rotational symmetry Indeed, there are 54 ways: My list omitted 1111222, 111232, 112132, 12232, and 1243. Of course, to write "54" would be OR. Perhaps the OEIS has a sequence for "necklaces from {1,2,3,4} summing to n". Or I could send them that sequence, if find the time to compute it (and its relatives) properly. Or is there a combinatorial objects server that would cough up the answer in a citable way? -Dan Hoey 15:38, 12 June 2007 (UTC)