Reflecting grids (2)

 

Use the method of Gronogo (source: http://www.grogono.com/magic/6x6.php) to construct a 14x14 magic square

 

Take 1x number

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 number

0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 1 0 1 0 1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 1
1 0 0 1 0 1 0 1 0 1 0 1 0 1
1 0 0 1 0 1 0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0 1 0 1 0
0 1 1 0 1 0 1 0 1 0 1 0 1 0

 

 

+98x number

0 1 1 1 1 1 1 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 1 1 1 1 1 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1 1 1 1 0 1

 

 

= 14x14 magic square

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

 

 

Use the method of reflecting grids (2) to construct magic squares of order is double odd. See 6x610x1014x1418x1822x2226x26 en 30x30

 

Download
14x14, Reflection (2).xls
Microsoft Excel werkblad 81.0 KB