Domino magic square

 

Why using different digits in the magic square? Produce a magic square by using domino tiles. The digits 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

 

 

Download
Specials, Domino magic square.xls
Microsoft Excel werkblad 37.5 KB