Читать книгу Twentieth Century Standard Puzzle Book - Various - Страница 12
No. V.—THE MAKING OF A MAGIC SQUARE
ОглавлениеAn ideal Magic Square can be constructed thus:
Place 1, 2, 3, 4, 5 in any order in the five top cells, set an asterisk over the third column, as shown in the diagram; begin the next row with this figure, and let the rest follow in the original sequence; continue this method with the other three rows.
Preparatory Square No. 1.
| * | ||||
| 1 | 3 | 5 | 2 | 4 |
| 5 | 2 | 4 | 1 | 3 |
| 4 | 1 | 3 | 5 | 2 |
| 3 | 5 | 2 | 4 | 1 |
| 2 | 4 | 1 | 3 | 5 |
Preparatory Square No. 2.
| * | ||||
| 5 | 15 | 0 | 10 | 20 |
| 10 | 20 | 5 | 15 | 0 |
| 15 | 0 | 10 | 20 | 5 |
| 20 | 5 | 15 | 0 | 10 |
| 0 | 10 | 20 | 5 | 15 |
Make a similar square of 25 cells with 0, 5, 10, 15, 20, as is shown in No. 2, placing the asterisk in this case over the fourth column of cells, and proceeding as before, in an unchanging sequence. Using these two preparatory squares, try to form a Magic Square in which the same number can be counted up in forty-two different ways.
