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 filled with the LUX tiles. Second grid is a 2x2 'blown up' 7x7 magic square.

 

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

4 1 4 1 4 1 4 1 4 1 4 1 4 1
2 3 2 3 2 3 2 3 2 3 2 3 2 3
4 1 4 1 4 1 4 1 4 1 4 1 4 1
2 3 2 3 2 3 2 3 2 3 2 3 2 3
4 1 4 1 4 1 4 1 4 1 4 1 4 1
2 3 2 3 2 3 2 3 2 3 2 3 2 3
4 1 4 1 4 1 1 4 4 1 4 1 4 1
2 3 2 3 2 3 2 3 2 3 2 3 2 3
1 4 1 4 1 4 4 1 1 4 1 4 1 4
2 3 2 3 2 3 2 3 2 3 2 3 2 3
1 4 1 4 1 4 1 4 1 4 1 4 1 4
3 2 3 2 3 2 3 2 3 2 3 2 3 2
1 4 1 4 1 4 1 4 1 4 1 4 1 4
3 2 3 2 3 2 3 2 3 2 3 2 3 2

 

 

+4x [number -/- 1] uit 2x2 'blown up' 7x7 magic square

46 46 31 31 16 16 1 1 42 42 27 27 12 12
46 46 31 31 16 16 1 1 42 42 27 27 12 12
5 5 39 39 24 24 9 9 43 43 35 35 20 20
5 5 39 39 24 24 9 9 43 43 35 35 20 20
13 13 47 47 32 32 17 17 2 2 36 36 28 28
13 13 47 47 32 32 17 17 2 2 36 36 28 28
21 21 6 6 40 40 25 25 10 10 44 44 29 29
21 21 6 6 40 40 25 25 10 10 44 44 29 29
22 22 14 14 48 48 33 33 18 18 3 3 37 37
22 22 14 14 48 48 33 33 18 18 3 3 37 37
30 30 15 15 7 7 41 41 26 26 11 11 45 45
30 30 15 15 7 7 41 41 26 26 11 11 45 45
38 38 23 23 8 8 49 49 34 34 19 19 4 4
38 38 23 23 8 8 49 49 34 34 19 19 4 4

 

 

= 14x14 magic square

184 181 124 121 64 61 4 1 168 165 108 105 48 45
182 183 122 123 62 63 2 3 166 167 106 107 46 47
20 17 156 153 96 93 36 33 172 169 140 137 80 77
18 19 154 155 94 95 34 35 170 171 138 139 78 79
52 49 188 185 128 125 68 65 8 5 144 141 112 109
50 51 186 187 126 127 66 67 6 7 142 143 110 111
84 81 24 21 160 157 97 100 40 37 176 173 116 113
82 83 22 23 158 159 98 99 38 39 174 175 114 115
85 88 53 56 189 192 132 129 69 72 9 12 145 148
86 87 54 55 190 191 130 131 70 71 10 11 146 147
117 120 57 60 25 28 161 164 101 104 41 44 177 180
119 118 59 58 27 26 163 162 103 102 43 42 179 178
149 152 89 92 29 32 193 196 133 136 73 76 13 16
151 150 91 90 31 30 195 194 135 134 75 74 15 14

 

  

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

 

Download
14x14, LUX method.xls
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