### Domino magic square

Why using different numbers in the magic square? Produce a magic square by using domino tiles. The numbers 0 up to 6 can be more than one time in the magic square.

3x3 Domino magic square (1)

 6 6 6 6 0 6 6 1 2 3 6 4 2 0 6 1 2 3

3x3 Domino magic square (2)

 12 12 12 12 0 12 12 3 4 5 12 6 4 2 12 3 4 5 0 0

7x7 Domino magic square

 20 20 20 20 20 20 20 20 0 20 20 1 5 0 5 1 2 6 20 5 4 6 1 0 0 4 20 1 0 5 5 3 2 4 20 3 3 4 0 6 2 2 20 0 3 3 5 2 5 2 20 4 2 1 3 4 6 0 20 6 3 1 1 4 3 2

Source:  Henry Jones ("Cavendish")

Try to make a 4x4, 5x5 or 6x6 Domino magic square. Or try to make a 3x3 Domino magic square with the highest or lowest possible magic sum, or with only the prime digits(2, 3 and 5) in it. Perhaps it is possible to make a panmagic domino square. Did you found anything interesting, please let me know (maybe I put it on my website mentioning your name).

If you use a complete domino set you can produce the following 7x7 domino magic square.

7x7 Domino magic square (with complete domino set)

 24 24 24 24 24 24 24 24 24 24 1 5 0 4 5 5 4 0 24 6 5 2 2 3 3 3 0 24 3 1 6 6 2 3 3 0 24 3 5 2 4 4 4 2 0 24 6 2 6 1 2 1 6 0 24 1 1 4 6 2 5 5 0 24 4 5 4 1 6 3 1 0

Source:  RouseBall & Coxeter, Mathematical Recreations and Essays, 1892, 13 Edition, p. 214

Specials, Domino magic square.xls