Method of Strachey
First grid is a 2x2 carpet of a 3x3 magic square. Second grid is fixed. Take 1x number from first grid and add 9x number from the same cell of the second grid.
1x number + 9x number = magic 6x6 square
|
2 |
9 |
4 |
2 |
9 |
4 |
0 |
0 |
3 |
2 |
2 |
2 |
2 |
9 |
31 |
20 |
27 |
22 |
||||
|
7 |
5 |
3 |
7 |
5 |
3 |
0 |
3 |
0 |
2 |
2 |
2 |
7 |
32 |
3 |
25 |
23 |
21 |
||||
|
6 |
1 |
8 |
6 |
1 |
8 |
0 |
0 |
3 |
2 |
2 |
2 |
6 |
1 |
35 |
24 |
19 |
26 |
||||
|
2 |
9 |
4 |
2 |
9 |
4 |
3 |
3 |
0 |
1 |
1 |
1 |
29 |
36 |
4 |
11 |
18 |
13 |
||||
|
7 |
5 |
3 |
7 |
5 |
3 |
3 |
0 |
3 |
1 |
1 |
1 |
34 |
5 |
30 |
16 |
14 |
12 |
||||
|
6 |
1 |
8 |
6 |
1 |
8 |
3 |
3 |
0 |
1 |
1 |
1 |
33 |
28 |
8 |
15 |
10 |
17 |
Alternative is:
1x number + 9x number = Swap numbers
| 2 | 9 | 4 | 2 | 9 | 4 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | 9 | 4 | 20 | 27 | 22 | ||||
| 7 | 5 | 3 | 7 | 5 | 3 | 0 | 0 | 0 | 2 | 2 | 2 | 7 | 5 | 3 | 25 | 23 | 21 | ||||
| 6 | 1 | 8 | 6 | 1 | 8 | 0 | 0 | 0 | 2 | 2 | 2 | 6 | 1 | 8 | 24 | 19 | 26 | ||||
| 2 | 9 | 4 | 2 | 9 | 4 | 3 | 3 | 3 | 1 | 1 | 1 | 29 | 36 | 31 | 11 | 18 | 13 | ||||
| 7 | 5 | 3 | 7 | 5 | 3 | 3 | 3 | 3 | 1 | 1 | 1 | 34 | 32 | 30 | 16 | 14 | 12 | ||||
| 6 | 1 | 8 | 6 | 1 | 8 | 3 | 3 | 3 | 1 | 1 | 1 | 33 | 28 | 35 | 15 | 10 | 17 |
magic 6x6 square
| 29 | 9 | 4 | 20 | 27 | 22 |
| 7 | 32 | 3 | 25 | 23 | 21 |
| 33 | 1 | 8 | 24 | 19 | 26 |
| 2 | 36 | 31 | 11 | 18 | 13 |
| 34 | 5 | 30 | 16 | 14 | 12 |
| 6 | 28 | 35 | 15 | 10 | 17 |
Use the method of Strachey to construct magic squares of order is double odd. See 6x6, 10x10, 14x14, 18x18, 22x22, 26x26 en 30x30
