pub const FACE_ADJACENCY: [[(u8, usize); 5]; 12] = [
[(1, 2), (4, 3), (5, 4), (6, 0), (11, 1)], [(2, 3), (4, 4), (0, 0), (11, 0), (10, 1)], [(9, 2), (3, 0), (4, 0), (1, 0), (10, 0)], [(2, 1), (9, 1), (8, 1), (5, 1), (4, 1)], [(2, 2), (3, 4), (5, 0), (0, 1), (1, 1)], [(4, 2), (3, 3), (8, 0), (6, 1), (0, 2)], [(0, 3), (5, 3), (8, 4), (7, 1), (11, 2)], [(11, 3), (6, 3), (8, 3), (9, 4), (10, 3)], [(5, 2), (3, 2), (9, 0), (7, 2), (6, 2)], [(8, 2), (3, 1), (2, 0), (10, 4), (7, 3)], [(2, 4), (1, 4), (11, 4), (7, 4), (9, 3)], [(1, 3), (0, 4), (6, 4), (7, 0), (10, 2)], ];