Читать книгу Twentieth Century Standard Puzzle Book - Various - Страница 19
No. X.—A BORDERED MAGIC SQUARE
ОглавлениеHere is a notable specimen of a Magic Square:—
4 | 5 | 6 | 43 | 39 | 38 | 40 |
49 | 15 | 16 | 33 | 30 | 31 | 1 |
48 | 37 | 22 | 27 | 26 | 13 | 2 |
47 | 36 | 29 | 25 | 21 | 14 | 3 |
8 | 18 | 24 | 23 | 28 | 32 | 42 |
9 | 19 | 34 | 17 | 20 | 35 | 41 |
10 | 45 | 44 | 7 | 11 | 12 | 46 |
The rows, columns, and diagonals all add up to exactly 175 in the full square. Strip off the outside cells all around, and a second Magic Square remains, which adds up in all such ways to 125.
Strip off another border, as is again indicated by the darker lines, and a third Magic Square is left, which adds up to 75.