No. III.—A MULTIFOLD MAGIC SQUARE
Here is a magic square of 81 cells.
| 53 | 8 | 71 | 28 | 73 | 10 | 51 | 6 | 69 |
| 62 | 44 | 26 | 19 | 37 | 55 | 60 | 42 | 24 |
| 17 | 80 | 35 | 61 | 1 | 46 | 15 | 78 | 33 |
| 66 | 21 | 30 | 14 | 59 | 50 | 34 | 79 | 16 |
| 3 | 39 | 75 | 77 | 41 | 5 | 25 | 43 | 61 |
| 48 | 57 | 12 | 32 | 23 | 68 | 70 | 7 | 52 |
| 31 | 76 | 13 | 72 | 27 | 36 | 11 | 56 | 47 |
| 22 | 40 | 58 | 9 | 45 | 81 | 74 | 38 | 2 |
| 67 | 4 | 49 | 54 | 63 | 18 | 29 | 20 | 65 |
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 |