No. XXI.—A MOORISH MAGIC SQUARE
Among Moorish Mussulmans 78 is a mystic number.
| 40 | 10 | 20 | 8 |
| 7 | 21 | 9 | 41 |
| 12 | 42 | 6 | 18 |
| 19 | 5 | 43 | 11 |
Here is a cleverly-constructed Magic Square, to which this number is the key.
The number 78 can be arrived at in twenty-three different combinations—namely, ten rows, columns, or diagonals; four corner squares of four cells; one central square of four cells; the four corner cells; two sets of corresponding diagonal cells next to the corners; and two sets of central cells on the top and bottom rows, and on the outside columns.
No. XXII.—A CHOICE MAGIC SQUARE
Here is a Magic Square of singular charm:—
| 31 | 36 | 29 | 76 | 81 | 74 | 13 | 18 | 11 |
| 30 | 32 | 34 | 75 | 77 | 79 | 12 | 14 | 16 |
| 35 | 28 | 33 | 80 | 73 | 78 | 17 | 10 | 15 |
| 22 | 27 | 20 | 40 | 45 | 38 | 58 | 63 | 56 |
| 21 | 23 | 25 | 39 | 41 | 43 | 57 | 59 | 61 |
| 26 | 19 | 24 | 44 | 37 | 42 | 62 | 55 | 60 |
| 67 | 72 | 65 | 4 | 9 | 2 | 49 | 54 | 47 |
| 66 | 68 | 70 | 3 | 5 | 7 | 48 | 50 | 52 |
| 71 | 64 | 69 | 8 | 1 | 6 | 53 | 46 | 51 |
The 81 cells of this remarkable square are divided by parallel lines into 9 equal parts, each made up of 9 consecutive numbers, and each a Magic Square in itself within the parent square. Readers can work out for themselves the combinations in the larger square and in the little ones.