11x11 magic square

Ultra 9x9 in 11x11 magic square (2)

 

Construct a row grid and a column grid. Use the middle numbers 1 up to 9 to produce the ultra magic 9x9 inlay. Puzzle the border.

 

 

1x number from row grid +1

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

 

 

+11x number from column grid

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

 

 

= ultra magic 9x9 in 11x11 magic square

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

 

 

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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11x11, ultra 9x9 in 11x11.xlsx
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11x11 magic square