Composite 12x12 magic square (3a)

 

Take 1x digit from a cell of the first grid with 4x the same 4x4 in 6x6 magic square and add digit x 36 from the same cell of the second grid to produce a 12x12 composite magic square.

 

 

1x digit

1 6 9 34 32 29 1 6 9 34 32 29
35 11 18 23 22 2 35 11 18 23 22 2
33 25 20 13 16 4 33 25 20 13 16 4
27 14 15 26 19 10 27 14 15 26 19 10
7 24 21 12 17 30 7 24 21 12 17 30
8 31 28 3 5 36 8 31 28 3 5 36
1 6 9 34 32 29 1 6 9 34 32 29
35 11 18 23 22 2 35 11 18 23 22 2
33 25 20 13 16 4 33 25 20 13 16 4
27 14 15 26 19 10 27 14 15 26 19 10
7 24 21 12 17 30 7 24 21 12 17 30
8 31 28 3 5 36 8 31 28 3 5 36

 

 

+ 36x digit

0 3 0 3 0 3 1 2 1 2 1 2
3 0 3 0 3 0 2 1 2 1 2 1
0 3 0 3 0 3 1 2 1 2 1 2
3 3 0 3 0 0 2 2 1 2 1 1
3 0 3 0 3 0 2 1 2 1 2 1
0 0 3 0 3 3 1 1 2 1 2 2
2 1 2 1 2 1 3 0 3 0 3 0
1 2 1 2 1 2 0 3 0 3 0 3
2 1 2 1 2 1 3 0 3 0 3 0
1 1 2 1 2 2 0 0 3 0 3 3
1 2 1 2 1 2 0 3 0 3 0 3
2 2 1 2 1 1 3 3 0 3 0 0

 

 

= 12x12 composite magic square

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

 

 

Each 1/2 row/column/diagonal gives 1/2 of the magic sum and the 12x12 magic square is 6x6 compact. In the 12x12 magic square are 4 proportional 4x4 panmagic squares.

 

Download
12x12, Composite (3a).xls
Microsoft Excel werkblad 60.0 KB