This method is derived from the Method of diagonals, where numbers are left in their natural order on diagonals, but all other numbers are replaced by their complements.
1 | 15 | 14 | 4 |
12 | 6 | 7 | 9 |
8 | 10 | 11 | 5 |
13 | 3 | 2 | 16 |
Generally speaking, by marking the diagonals, the square is divided into nine different areas, which are filled identical. This principle is also used in higher orders n = 4k, where you have to enlarge the areas accordingly.
With this basic principle, the areas from the figure on the left are obtained for a square of order n=8. First, you have to create a square in the natural order. As mentioned, the numbers in blocks A, C, E, G and I are kept in their natural order, while the numbers in all other blocks will be replaced by their complements.