### LUX method of John Horton Conway

Use the Medjig method without puzzling. This method is known as the LUX method of John Horton Conway. The three letters are three different Medjig tiles. If you draw imaginary lines between the 1, 2, 3 and 4, you get the L (red marked), the U (yellow marked) or the X (blew marked).

First grid is a 2x2 'blown up' 5x5 magic square. Second grid is filled with the LUX tiles.

Take 1x number from first grid and add 4x [number -/- 1] from the same cell of the second grid.

 1x number from grid of Medjig tiles LUX 25 25 25 25 25 25 25 25 25 25 25 25 25 4 1 4 1 4 1 4 1 4 1 25 2 3 2 3 2 3 2 3 2 3 25 4 1 4 1 4 1 4 1 4 1 25 2 3 2 3 2 3 2 3 2 3 25 4 1 4 1 1 4 4 1 4 1 25 2 3 2 3 2 3 2 3 2 3 25 1 4 1 4 4 1 1 4 1 4 25 2 3 2 3 2 3 2 3 2 3 25 1 4 1 4 1 4 1 4 1 4 25 3 2 3 2 3 2 3 2 3 2 +4x [number minus 1] from the grid with 2x2 'blown up' magic 5x5 square 130 130 130 130 130 130 130 130 130 130 130 130 130 1 1 7 7 13 13 19 19 25 25 130 1 1 7 7 13 13 19 19 25 25 130 14 14 20 20 21 21 2 2 8 8 130 14 14 20 20 21 21 2 2 8 8 130 22 22 3 3 9 9 15 15 16 16 130 22 22 3 3 9 9 15 15 16 16 130 10 10 11 11 17 17 23 23 4 4 130 10 10 11 11 17 17 23 23 4 4 130 18 18 24 24 5 5 6 6 12 12 130 18 18 24 24 5 5 6 6 12 12 = magic 10x10 square 505 505 505 505 505 505 505 505 505 505 505 505 505 4 1 28 25 52 49 76 73 100 97 505 2 3 26 27 50 51 74 75 98 99 505 56 53 80 77 84 81 8 5 32 29 505 54 55 78 79 82 83 6 7 30 31 505 88 85 12 9 33 36 60 57 64 61 505 86 87 10 11 34 35 58 59 62 63 505 37 40 41 44 68 65 89 92 13 16 505 38 39 42 43 66 67 90 91 14 15 505 69 72 93 96 17 20 21 24 45 48 505 71 70 95 94 19 18 23 22 47 46

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

10x10, LUX method.xls