Medjig method

 

The first grid is a 2x2 'blown up' pure 7x7 magic square. Construct the second grid using 49 Medjig tiles.

 
In a (2x2) medjig tile are all the digits from 0 up to 3, but each time in a different order. Take care that the sum of the digits in each row/column/diagonal is (14 x 1,5 =) 21.

Take 1x digit from first grid and add 49x digit from the same cell of the second grid.

 

 

1x digit from grid with 2x2 'blown up' 7x7 magic square 

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

 

 

+ 49x digit from grid with Medjig tiles

3 0 3 0 3 0 3 0 3 0 3 0 3 0
1 2 1 2 1 2 1 2 1 2 1 2 1 2
3 0 3 0 3 0 3 0 3 0 3 0 3 0
1 2 1 2 1 2 1 2 1 2 1 2 1 2
3 0 3 0 3 0 3 0 3 0 3 0 3 0
1 2 1 2 1 2 1 2 1 2 1 2 1 2
3 0 3 0 3 0 0 3 3 0 3 0 3 0
1 2 1 2 1 2 1 2 1 2 1 2 1 2
0 3 0 3 0 3 3 0 0 3 0 3 0 3
1 2 1 2 1 2 1 2 1 2 1 2 1 2
0 3 0 3 0 3 0 3 0 3 0 3 0 3
2 1 2 1 2 1 2 1 2 1 2 1 2 1
0 3 0 3 0 3 0 3 0 3 0 3 0 3
2 1 2 1 2 1 2 1 2 1 2 1 2 1

 

 

= 14x14 magic square

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

 

 

Use this method to construct 'double odd' magic squares (= 6x6, 10x10, 14x14, 18x18, … magic square), although you can use this method to construct 'double even' magic squares (= 8x8, 12x12, 16x16, 20x20, ... magic square) as well.

 

 

Download
14x14, Medjig method.xls
Microsoft Excel werkblad 41.5 KB