Basic key method
The basic key of the 4x4 most perfect magic square is:
| 0 | 1 | ||
| 0 | 1 |
The sum of each column must be (0+3=) 3
| 0 | 1 | 3 | 2 |
| 3 | 2 | 0 | 1 |
Copy and paste the first two rows to complete the first grid .
The second grid is a reflection of the first grid
Take 1x number from first grid and add 4x number +1 from second grid to get a most perfect (= panmagic) 4x4 magic square.
1x number + 4x number +1 = panmagic 4x4
| 0 | 1 | 3 | 2 | 0 | 3 | 0 | 3 | 1 | 14 | 4 | 15 | ||||
| 3 | 2 | 0 | 1 | 1 | 2 | 1 | 2 | 8 | 11 | 5 | 10 | ||||
| 0 | 1 | 3 | 2 | 3 | 0 | 3 | 0 | 13 | 2 | 16 | 3 | ||||
| 3 | 2 | 0 | 1 | 2 | 1 | 2 | 1 | 12 | 7 | 9 | 6 |
Use this method to construct most perfect magic squares of order is multiple of 4 from 4x4 to infinite. See 4x4, 8x8, 12x12, 16x16, 20x20, 24x24, 28x28, 32x32
