Office Applications and Entertainment, Magic Squares
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Bordered Magic Square (9 x 9) with Diamond Inlay (3 x 3)
Based on a Self Orthogonal Diagonal Latin Square A

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

The total number of subject order 9 Self Orthogonal Magic Squares is 128 and can be generated within 830 seconds (ref. SelfOrth9c).

Vorige Pagina About the Author