### Concentric

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           =     number + 18                       =    4x4 in 6x6 in 8x8 in 10x10 MS

 92 2 98 4 14 18 84 16 86 91 57 12 52 14 1 3 63 58 88 75 30 70 32 19 21 81 76 13 1 6 9 34 32 29 10 15 20 23 48 46 43 55 12 28 33 38 41 66 64 61 73 89 1 8 13 12 35 11 18 23 22 2 9 49 25 32 37 36 16 56 90 27 67 43 50 55 54 34 74 11 15 10 3 6 33 25 20 13 16 4 4 47 39 34 27 30 18 61 5 22 65 57 52 45 48 36 79 96 4 5 16 9 27 14 15 26 19 10 54 41 28 29 40 33 24 11 100 72 59 46 47 58 51 42 29 1 14 11 2 7 7 24 21 12 17 30 59 21 38 35 26 31 44 6 8 77 39 56 53 44 49 62 24 93 8 31 28 3 5 36 60 22 45 42 17 19 50 5 94 78 40 63 60 35 37 68 23 7 7 53 13 51 64 62 2 8 6 25 71 31 69 82 80 20 26 95 10 99 3 97 87 83 17 85 15 9

Take the 8x8 concentric magic square, add 18 to all numbers and construct the border [see webpage most perfect 8x8 in 10x10]

See how the concentric magic square on this website is growing bigger and bigger:

10x10, concentric.xls