### Basic key method ( most perfect)

The key to construct a 12x12 magic square is:

1-2      3-4      5-6

1-2      3-4      5-6

Construct the first grid by finishing and copying the key. The second grid is a reflection (= rotated by a quarter to the left) of the first grid.

1x number from first grid     +  12x [number -/- 1]                       =  most perfect 12x12 magic square

 1 2 12 11 3 4 10 9 5 6 8 7 7 6 7 6 7 6 7 6 7 6 7 6 73 62 84 71 75 64 82 69 77 66 80 67 12 11 1 2 10 9 3 4 8 7 5 6 8 5 8 5 8 5 8 5 8 5 8 5 96 59 85 50 94 57 87 52 92 55 89 54 1 2 12 11 3 4 10 9 5 6 8 7 6 7 6 7 6 7 6 7 6 7 6 7 61 74 72 83 63 76 70 81 65 78 68 79 12 11 1 2 10 9 3 4 8 7 5 6 5 8 5 8 5 8 5 8 5 8 5 8 60 95 49 86 58 93 51 88 56 91 53 90 1 2 12 11 3 4 10 9 5 6 8 7 9 4 9 4 9 4 9 4 9 4 9 4 97 38 108 47 99 40 106 45 101 42 104 43 12 11 1 2 10 9 3 4 8 7 5 6 10 3 10 3 10 3 10 3 10 3 10 3 120 35 109 26 118 33 111 28 116 31 113 30 1 2 12 11 3 4 10 9 5 6 8 7 4 9 4 9 4 9 4 9 4 9 4 9 37 98 48 107 39 100 46 105 41 102 44 103 12 11 1 2 10 9 3 4 8 7 5 6 3 10 3 10 3 10 3 10 3 10 3 10 36 119 25 110 34 117 27 112 32 115 29 114 1 2 12 11 3 4 10 9 5 6 8 7 11 2 11 2 11 2 11 2 11 2 11 2 121 14 132 23 123 16 130 21 125 18 128 19 12 11 1 2 10 9 3 4 8 7 5 6 12 1 12 1 12 1 12 1 12 1 12 1 144 11 133 2 142 9 135 4 140 7 137 6 1 2 12 11 3 4 10 9 5 6 8 7 2 11 2 11 2 11 2 11 2 11 2 11 13 122 24 131 15 124 22 129 17 126 20 127 12 11 1 2 10 9 3 4 8 7 5 6 1 12 1 12 1 12 1 12 1 12 1 12 12 143 1 134 10 141 3 136 8 139 5 138

Use this method to construct most perfect magic squares of order is multiple of 4 from 4x4 to infinity. See 4x48x812x1216x1620x2024x2428x2832x32

12x12, Basic key method (2).xls