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antimagic square
An n × n square arrangement of the numbers 1 to n2 such that the totals of the n rows and n columns and two long diagonals form a sequence of (2n + 2) consecutive integers. There are no antimagic squares of size 2 × 2 and 3 × 3 but plenty of them for larger sizes. Here is a 4 × 4 example:
| 1 | 13 | 3 | 12 |
| 15 | 9 | 4 | 10 |
| 7 | 2 | 16 | 8 |
| 14 | 6 | 11 | 5 |
Related entry
• magic square
Related category
• MATHEMATICS
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