12x12 magic square

Medjig 12x12 magic square

 

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

 

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12x12, Medjig method.xlsx
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12x12 magic square