Obviously we have two triplets (3-lets),
where `` '' stands for the numbers included in a triplet. However, the tiling which satisfies all the above symmetry (thus the sum of the numbers in the triplet is the same number) does not exist as well as in the case N=2. We need to compromise on some triplets. If we give up the symmetry along the one of two diagonal orientations, we get a tiling pattern
by a set numbers (0,1,2) in base 3.