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
• GAMES
AND PUZZLES
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