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Conway's LUX method for magic squares is an algorithm for creating magic squares of order 4n+2, where n is an integer.
An example square, of order 10, follows:
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] 68 65 96 93 4 1 32 29 60 57
[2,] 66 67 94 95 2 3 30 31 58 59
[3,] 92 89 20 17 28 25 56 53 64 61
[4,] 90 91 18 19 26 27 54 55 62 63
[5,] 16 13 24 21 49 52 80 77 88 85
[6,] 14 15 22 23 50 51 78 79 86 87
[7,] 37 40 45 48 76 73 81 84 9 12
[8,] 38 39 46 47 74 75 82 83 10 11
[9,] 41 44 69 72 97 100 5 8 33 36
[10,] 43 42 71 70 99 98 7 6 35 34
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