13x13 magic square

Pan 11x11 in 13x13 magic square (2)

 

Construct a row grid and a column grid. Use the middle numbers from 1 up to 11 to produce the 11x11 inlay with the shift method. Puzzle the border.

 

 

1x number from row grid +1

6 1 2 3 4 5 7 8 9 10 11 12 0
0 1 2 3 4 5 6 7 8 9 10 11 12
0 3 4 5 6 7 8 9 10 11 1 2 12
12 5 6 7 8 9 10 11 1 2 3 4 0
12 7 8 9 10 11 1 2 3 4 5 6 0
0 9 10 11 1 2 3 4 5 6 7 8 12
0 11 1 2 3 4 5 6 7 8 9 10 12
0 2 3 4 5 6 7 8 9 10 11 1 12
12 4 5 6 7 8 9 10 11 1 2 3 0
12 6 7 8 9 10 11 1 2 3 4 5 0
0 8 9 10 11 1 2 3 4 5 6 7 12
12 10 11 1 2 3 4 5 6 7 8 9 0
12 11 10 9 8 7 5 4 3 2 1 0 6

 

 

+13x number from column grid

0 0 0 12 12 12 12 12 12 0 0 0 6
1 1 2 3 4 5 6 7 8 9 10 11 11
7 10 11 1 2 3 4 5 6 7 8 9 5
2 8 9 10 11 1 2 3 4 5 6 7 10
8 6 7 8 9 10 11 1 2 3 4 5 4
3 4 5 6 7 8 9 10 11 1 2 3 9
5 2 3 4 5 6 7 8 9 10 11 1 7
9 11 1 2 3 4 5 6 7 8 9 10 3
4 9 10 11 1 2 3 4 5 6 7 8 8
10 7 8 9 10 11 1 2 3 4 5 6 2
11 5 6 7 8 9 10 11 1 2 3 4 1
12 3 4 5 6 7 8 9 10 11 1 2 0
6 12 12 0 0 0 0 0 0 12 12 12 12

 

 

= panmagic 11x11 in 13x13 magic square

7 2 3 160 161 162 164 165 166 11 12 13 79
14 15 29 43 57 71 85 99 113 127 141 155 156
92 134 148 19 33 47 61 75 89 103 106 120 78
39 110 124 138 152 23 37 51 54 68 82 96 131
117 86 100 114 128 142 145 16 30 44 58 72 53
40 62 76 90 93 107 121 135 149 20 34 48 130
66 38 41 55 69 83 97 111 125 139 153 24 104
118 146 17 31 45 59 73 87 101 115 129 132 52
65 122 136 150 21 35 49 63 77 80 94 108 105
143 98 112 126 140 154 25 28 42 56 70 84 27
144 74 88 102 116 119 133 147 18 32 46 60 26
169 50 64 67 81 95 109 123 137 151 22 36 1
91 168 167 10 9 8 6 5 4 159 158 157 163

 

 

Use this method to construct inlaid squares of odd order from 5x5 to infinity. 

See 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 & 31x31

 

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13x13, pan 11x11 in 13x13.xlsx
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13x13 magic square