Concentric (4x4 in 6x6 in) 8x8 magic square

 

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.

 

 

Digit +10                     =         Digit + 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

 

 

Download
8x8, concentric.xls
Microsoft Excel werkblad 48.0 KB