Office Applications and Entertainment, Magic Squares
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Construction of a Simple Magic Square M (10 x 10)
Based on a Self Orthogonal Diagonal Latin Square A

A
0 1 2 3 4 5 6 7 8 9
5 2 0 9 7 8 1 4 6 3
9 5 7 1 8 6 4 3 0 2
7 8 6 4 9 2 5 1 3 0
8 9 5 0 3 4 2 6 7 1
3 6 9 5 2 1 7 0 4 8
4 3 1 7 6 0 8 2 9 5
6 7 8 2 5 3 0 9 1 4
2 0 4 6 1 9 3 8 5 7
1 4 3 8 0 7 9 5 2 6
B = T(A)
0 5 9 7 8 3 4 6 2 1
1 2 5 8 9 6 3 7 0 4
2 0 7 6 5 9 1 8 4 3
3 9 1 4 0 5 7 2 6 8
4 7 8 9 3 2 6 5 1 0
5 8 6 2 4 1 0 3 9 7
6 1 4 5 2 7 8 0 3 9
7 4 3 1 6 0 2 9 8 5
8 6 0 3 7 4 9 1 5 2
9 3 2 0 1 8 5 4 7 6
M = A + 10 * T(A) + 1
1 52 93 74 85 36 47 68 29 20
16 23 51 90 98 69 32 75 7 44
30 6 78 62 59 97 15 84 41 33
38 99 17 45 10 53 76 22 64 81
49 80 86 91 34 25 63 57 18 2
54 87 70 26 43 12 8 31 95 79
65 14 42 58 27 71 89 3 40 96
77 48 39 13 66 4 21 100 82 55
83 61 5 37 72 50 94 19 56 28
92 35 24 9 11 88 60 46 73 67
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