Office Applications and Entertainment, Magic Squares
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Construction of a Pan Magic Square M (11 x 11)
Based on an Idempotent Latin Square A

A
0 10 9 8 7 6 5 4 3 2 1
2 1 0 10 9 8 7 6 5 4 3
4 3 2 1 0 10 9 8 7 6 5
6 5 4 3 2 1 0 10 9 8 7
8 7 6 5 4 3 2 1 0 10 9
10 9 8 7 6 5 4 3 2 1 0
1 0 10 9 8 7 6 5 4 3 2
3 2 1 0 10 9 8 7 6 5 4
5 4 3 2 1 0 10 9 8 7 6
7 6 5 4 3 2 1 0 10 9 8
9 8 7 6 5 4 3 2 1 0 10
B = T(A)
0 2 4 6 8 10 1 3 5 7 9
10 1 3 5 7 9 0 2 4 6 8
9 0 2 4 6 8 10 1 3 5 7
8 10 1 3 5 7 9 0 2 4 6
7 9 0 2 4 6 8 10 1 3 5
6 8 10 1 3 5 7 9 0 2 4
5 7 9 0 2 4 6 8 10 1 3
4 6 8 10 1 3 5 7 9 0 2
3 5 7 9 0 2 4 6 8 10 1
2 4 6 8 10 1 3 5 7 9 0
1 3 5 7 9 0 2 4 6 8 10

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