If divided, as is shown, into 9 small squares, each of these is also a magic square, and yet another magic square is formed by the totals of these 9 squares arranged thus:—
| 396 | 333 | 378 |
| 351 | 369 | 387 |
| 360 | 405 | 342 |
No. IV.—A MODEL MAGIC SQUARE
This magic square, which has in its cells the first sixteen numbers, is so constructed that these add up to 34 in very many ways.
| 4 | 15 | 14 | 1 |
| 9 | 6 | 7 | 12 |
| 5 | 10 | 11 | 8 |
| 16 | 3 | 2 | 13 |
How many of these, in addition to the usual rows, columns, and diagonals, can you discover? They must, of course, be in some sort symmetrical.