Concentric (3x3 in 5x5 in) 7x7 magic square
Start with a 3x3 magic square and put a border around the square again and again to get a 3x3 in 5x5 in 7x7 in 9x9 in ... magic square.
Number + 8 Number + 12 Concentric 7x7 magic square
| 6 | 1 | 3 | 43 | 41 | 39 | 42 | ||||||||||
| 22 | 18 | 3 | 2 | 20 | 48 | 34 | 30 | 15 | 14 | 32 | 2 | |||||
| 2 | 9 | 4 | 7 | 10 | 17 | 12 | 19 | 46 | 19 | 22 | 29 | 24 | 31 | 4 | ||
| 7 | 5 | 3 | 5 | 15 | 13 | 11 | 21 | 45 | 17 | 27 | 25 | 23 | 33 | 5 | ||
| 6 | 1 | 8 | 25 | 14 | 9 | 16 | 1 | 10 | 37 | 26 | 21 | 28 | 13 | 40 | ||
| 6 | 8 | 23 | 24 | 4 | 12 | 18 | 20 | 35 | 36 | 16 | 38 | |||||
| 8 | 49 | 47 | 7 | 9 | 11 | 44 |
Take the 5x5 concentric magic square, add 12 to all numbers and construct the border [see webpage pan 5x5 in 7x7 (1)]
See how the concentric magic square on this website is growing bigger and bigger:
3x3, 4x4, 5x5, 6x6, 7x7, 8x8, 9x9, 10x10, 11x11, 12x12, 13x13, 14x14, 15x15, 16x16, 17x1718x18, 19x19, 20x20, 21x21, 22x22, 23x23, 24x24, 25x25, 26x26, 27x27, 28x28, 29x29, 30x30, 31x31 and 32x32
