Use as first grid 6x6 medjig tiles and as second grid the '2x2 blown up' version of the 6x6 magic square to construct a (simple) 12x12 magic square.
Take a number from a cell of the first grid +1 and add (number -/- 1) x 4 from the same cell of the second grid.
1x number +1
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
+ (number -/- 1) x4
2 | 2 | 9 | 9 | 31 | 31 | 20 | 20 | 27 | 27 | 22 | 22 |
2 | 2 | 9 | 9 | 31 | 31 | 20 | 20 | 27 | 27 | 22 | 22 |
7 | 7 | 32 | 32 | 3 | 3 | 25 | 25 | 23 | 23 | 21 | 21 |
7 | 7 | 32 | 32 | 3 | 3 | 25 | 25 | 23 | 23 | 21 | 21 |
6 | 6 | 1 | 1 | 35 | 35 | 24 | 24 | 19 | 19 | 26 | 26 |
6 | 6 | 1 | 1 | 35 | 35 | 24 | 24 | 19 | 19 | 26 | 26 |
29 | 29 | 36 | 36 | 4 | 4 | 11 | 11 | 18 | 18 | 13 | 13 |
29 | 29 | 36 | 36 | 4 | 4 | 11 | 11 | 18 | 18 | 13 | 13 |
34 | 34 | 5 | 5 | 30 | 30 | 16 | 16 | 14 | 14 | 12 | 12 |
34 | 34 | 5 | 5 | 30 | 30 | 16 | 16 | 14 | 14 | 12 | 12 |
33 | 33 | 28 | 28 | 8 | 8 | 15 | 15 | 10 | 10 | 17 | 17 |
33 | 33 | 28 | 28 | 8 | 8 | 15 | 15 | 10 | 10 | 17 | 17 |
= (simple) 12x12 magic square
5 | 8 | 33 | 36 | 121 | 124 | 77 | 80 | 105 | 108 | 85 | 88 |
6 | 7 | 34 | 35 | 122 | 123 | 78 | 79 | 106 | 107 | 86 | 87 |
28 | 25 | 128 | 125 | 12 | 9 | 100 | 97 | 92 | 89 | 84 | 81 |
27 | 26 | 127 | 126 | 11 | 10 | 99 | 98 | 91 | 90 | 83 | 82 |
21 | 24 | 1 | 4 | 137 | 140 | 93 | 96 | 73 | 76 | 101 | 104 |
22 | 23 | 2 | 3 | 138 | 139 | 94 | 95 | 74 | 75 | 102 | 103 |
116 | 113 | 144 | 141 | 16 | 13 | 44 | 41 | 72 | 69 | 52 | 49 |
115 | 114 | 143 | 142 | 15 | 14 | 43 | 42 | 71 | 70 | 51 | 50 |
133 | 136 | 17 | 20 | 117 | 120 | 61 | 64 | 53 | 56 | 45 | 48 |
134 | 135 | 18 | 19 | 118 | 119 | 62 | 63 | 54 | 55 | 46 | 47 |
132 | 129 | 112 | 109 | 32 | 29 | 60 | 57 | 40 | 37 | 68 | 65 |
131 | 130 | 111 | 110 | 31 | 30 | 59 | 58 | 39 | 38 | 67 | 66 |
Use this method to construct even magic squares.
See 6x6, 8x8, 10x10, 12x12, 14x14, 16x16, 18x18, 20x20, 22x22, 24x24, 26x26, 28x28, 30x30 en 32x32