### Alternative method of Strachey

With the alternative method of Strachey we make 4 as proportional as possible 5x5 magic squares (shift) to construct the 10x10 magic square, and than we swap numbers to get the magic square valid.

To construct the 4 panmagic 5x5 squares, take the numbers 0 up to 4 as row coordinates and take the numbers 0 up to (5 x 4 -/- 1 = ) 19 as column coordinates.

5x column coordinate + 1x row coordinate + 1  = panmagic 5x5 square

 250 250 250 250 250 250 250 0 5 10 15 17 0 1 2 3 4 1 27 53 79 90 250 10 15 17 0 5 3 4 0 1 2 54 80 86 2 28 250 17 0 5 10 15 1 2 3 4 0 87 3 29 55 76 250 5 10 15 17 0 4 0 1 2 3 30 51 77 88 4 250 15 17 0 5 10 2 3 4 0 1 78 89 5 26 52 250 250 250 250 250 250 250 250 1 4 9 14 19 0 1 2 3 4 6 22 48 74 100 250 9 14 19 1 4 3 4 0 1 2 49 75 96 7 23 250 19 1 4 9 14 1 2 3 4 0 97 8 24 50 71 250 4 9 14 19 1 4 0 1 2 3 25 46 72 98 9 250 14 19 1 4 9 2 3 4 0 1 73 99 10 21 47 250 255 255 255 255 255 255 255 2 6 11 13 16 0 1 2 3 4 11 32 58 69 85 255 11 13 16 2 6 3 4 0 1 2 59 70 81 12 33 255 16 2 6 11 13 1 2 3 4 0 82 13 34 60 66 255 6 11 13 16 2 4 0 1 2 3 35 56 67 83 14 255 13 16 2 6 11 2 3 4 0 1 68 84 15 31 57 255 255 255 255 255 255 255 255 3 7 8 12 18 0 1 2 3 4 16 37 43 64 95 255 8 12 18 3 7 3 4 0 1 2 44 65 91 17 38 255 18 3 7 8 12 1 2 3 4 0 92 18 39 45 61 255 7 8 12 18 3 4 0 1 2 3 40 41 62 93 19 255 12 18 3 7 8 2 3 4 0 1 63 94 20 36 42 255

Combine the 4 panmagic 5x5 squares.

(Semi) Magic 10x10 square to be corrected

 505 505 505 505 505 505 505 505 505 505 500 510 505 1 27 53 79 90 11 32 58 69 85 505 54 80 86 2 28 59 70 81 12 33 505 87 3 29 55 76 82 13 34 60 66 505 30 51 77 88 4 35 56 67 83 14 505 78 89 5 26 52 68 84 15 31 57 505 16 37 43 64 95 6 22 48 74 100 505 44 65 91 17 38 49 75 96 7 23 505 92 18 39 45 61 97 8 24 50 71 505 40 41 62 93 19 25 46 72 98 9 505 63 94 20 36 42 73 99 10 21 47

Swap 2x two numbers to get a valid 10x10 magic square.

10x10 magic square

 505 505 505 505 505 505 505 505 505 505 505 505 505 1 27 53 79 90 11 32 58 69 85 505 54 80 81 2 28 59 70 86 12 33 505 87 3 34 55 76 82 13 29 60 66 505 30 51 77 88 4 35 56 67 83 14 505 78 89 5 26 52 68 84 15 31 57 505 16 37 43 64 95 6 22 48 74 100 505 44 65 91 17 38 49 75 96 7 23 505 92 18 39 45 61 97 8 24 50 71 505 40 41 62 93 19 25 46 72 98 9 505 63 94 20 36 42 73 99 10 21 47

Use the alternative method of Strachey to construct magic squares of order is double odd. See 6x610x1014x1418x1822x2226x26 en 30x30

10x10, Alternative method of Strachey.xl