To construct a concentric magic square you can put each time a new border around the square to make it larger and larger and so you can construct a 4x4 in 6x6 in 8x8 in 10x10 in ... magic square.
Number +10 = Number + 14 = 4x4 in 6x6 in 8x8 magic square
57 | 12 | 52 | 14 | 1 | 3 | 63 | 58 | ||||||||||||||
1 | 6 | 9 | 34 | 32 | 29 | 10 | 15 | 20 | 23 | 48 | 46 | 43 | 55 | ||||||||
1 | 8 | 13 | 12 | 35 | 11 | 18 | 23 | 22 | 2 | 9 | 49 | 25 | 32 | 37 | 36 | 16 | 56 | ||||
15 | 10 | 3 | 6 | 33 | 25 | 20 | 13 | 16 | 4 | 4 | 47 | 39 | 34 | 27 | 30 | 18 | 61 | ||||
4 | 5 | 16 | 9 | 27 | 14 | 15 | 26 | 19 | 10 | 54 | 41 | 28 | 29 | 40 | 33 | 24 | 11 | ||||
14 | 11 | 2 | 7 | 7 | 24 | 21 | 12 | 17 | 30 | 59 | 21 | 38 | 35 | 26 | 31 | 44 | 6 | ||||
8 | 31 | 28 | 3 | 5 | 36 | 60 | 22 | 45 | 42 | 17 | 19 | 50 | 5 | ||||||||
7 | 53 | 13 | 51 | 64 | 62 | 2 | 8 |
Take the 6x6 concentric magic square, add 14 to all numbers and construct the border [see webpage 6x6 in 8x8 (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