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)
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6 |
6 |
6 |
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6 |
0 |
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6 |
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6 |
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1 |
2 |
3 |
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6 |
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4 |
2 |
0 |
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6 |
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1 |
2 |
3 |
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3x3 Domino magic square (2)
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12 |
12 |
12 |
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12 |
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0 |
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12 |
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12 |
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3 |
4 |
5 |
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12 |
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6 |
4 |
2 |
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12 |
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3 |
4 |
5 |
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0 |
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0 |
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7x7 Domino magic square
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20 |
20 |
20 |
20 |
20 |
20 |
20 |
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20 |
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0 |
20 |
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20 |
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1 |
5 |
0 |
5 |
1 |
2 |
6 |
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20 |
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5 |
4 |
6 |
1 |
0 |
0 |
4 |
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20 |
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1 |
0 |
5 |
5 |
3 |
2 |
4 |
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20 |
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3 |
3 |
4 |
0 |
6 |
2 |
2 |
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20 |
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0 |
3 |
3 |
5 |
2 |
5 |
2 |
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20 |
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4 |
2 |
1 |
3 |
4 |
6 |
0 |
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20 |
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6 |
3 |
1 |
1 |
4 |
3 |
2 |
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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)
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24 |
24 |
24 |
24 |
24 |
24 |
24 |
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24 |
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24 |
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24 |
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1 |
5 |
0 |
4 |
5 |
5 |
4 |
0 |
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24 |
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6 |
5 |
2 |
2 |
3 |
3 |
3 |
0 |
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24 |
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3 |
1 |
6 |
6 |
2 |
3 |
3 |
0 |
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24 |
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3 |
5 |
2 |
4 |
4 |
4 |
2 |
0 |
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24 |
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6 |
2 |
6 |
1 |
2 |
1 |
6 |
0 |
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24 |
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1 |
1 |
4 |
6 |
2 |
5 |
5 |
0 |
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24 |
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4 |
5 |
4 |
1 |
6 |
3 |
1 |
0 |
Source: RouseBall & Coxeter, Mathematical Recreations and Essays, 1892, 13 Edition, p. 214
