Construct a row grid and a column grid of the 14x14 inlay with reflecting grids 14x14. Use from the numbers 0 up to 15 the middle numbers 1 up to 14. Puzzle the border.
1x number from row grid +1
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
15 | 1 | 2 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 13 | 14 | 0 |
0 | 1 | 2 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 13 | 14 | 15 |
15 | 1 | 13 | 3 | 11 | 10 | 6 | 8 | 7 | 9 | 5 | 4 | 12 | 2 | 14 | 0 |
0 | 14 | 13 | 12 | 11 | 5 | 6 | 8 | 7 | 9 | 10 | 4 | 3 | 2 | 1 | 15 |
15 | 14 | 13 | 3 | 4 | 5 | 6 | 8 | 7 | 9 | 10 | 11 | 12 | 2 | 1 | 0 |
0 | 14 | 13 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 2 | 1 | 15 |
15 | 14 | 13 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 2 | 1 | 0 |
15 | 14 | 13 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 2 | 1 | 0 |
0 | 14 | 13 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 2 | 1 | 15 |
15 | 1 | 2 | 12 | 4 | 5 | 9 | 7 | 8 | 6 | 10 | 11 | 3 | 13 | 14 | 0 |
0 | 1 | 2 | 12 | 11 | 10 | 9 | 7 | 8 | 6 | 5 | 4 | 3 | 13 | 14 | 15 |
15 | 1 | 2 | 3 | 4 | 10 | 9 | 7 | 8 | 6 | 5 | 11 | 12 | 13 | 14 | 0 |
0 | 14 | 2 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 13 | 1 | 15 |
15 | 1 | 2 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 13 | 14 | 0 |
0 | 14 | 13 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 15 |
+16x number from column grid
0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 |
1 | 1 | 1 | 1 | 14 | 14 | 14 | 14 | 14 | 14 | 1 | 1 | 1 | 14 | 1 | 14 |
2 | 2 | 2 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 2 | 2 | 2 | 2 | 2 | 13 |
3 | 12 | 12 | 3 | 12 | 3 | 3 | 3 | 3 | 3 | 12 | 12 | 3 | 12 | 12 | 12 |
4 | 11 | 11 | 11 | 11 | 4 | 4 | 4 | 4 | 4 | 4 | 11 | 4 | 11 | 11 | 11 |
5 | 10 | 10 | 10 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 10 | 10 | 10 | 10 | 10 |
6 | 9 | 9 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 9 | 9 | 9 | 9 | 9 | 9 |
7 | 8 | 8 | 8 | 8 | 8 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 8 | 8 | 8 |
8 | 7 | 7 | 7 | 7 | 7 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 7 | 7 | 7 |
9 | 6 | 6 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | 6 | 6 | 6 | 6 | 6 |
10 | 5 | 5 | 5 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 5 | 5 | 5 | 5 | 5 |
11 | 4 | 4 | 4 | 4 | 11 | 11 | 11 | 11 | 11 | 11 | 4 | 11 | 4 | 4 | 4 |
12 | 3 | 3 | 12 | 3 | 12 | 12 | 12 | 12 | 12 | 3 | 3 | 12 | 3 | 3 | 3 |
13 | 13 | 13 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 13 | 13 | 13 | 13 | 13 | 2 |
14 | 14 | 14 | 14 | 1 | 1 | 1 | 1 | 1 | 1 | 14 | 14 | 14 | 1 | 14 | 1 |
15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 |
= 14x14 in 16x16 magic square
1 | 242 | 3 | 244 | 5 | 246 | 7 | 248 | 249 | 10 | 251 | 12 | 253 | 14 | 255 | 16 |
32 | 18 | 19 | 29 | 236 | 235 | 234 | 233 | 232 | 231 | 22 | 21 | 20 | 238 | 31 | 225 |
33 | 34 | 35 | 221 | 220 | 219 | 218 | 217 | 216 | 215 | 38 | 37 | 36 | 46 | 47 | 224 |
64 | 194 | 206 | 52 | 204 | 59 | 55 | 57 | 56 | 58 | 198 | 197 | 61 | 195 | 207 | 193 |
65 | 191 | 190 | 189 | 188 | 70 | 71 | 73 | 72 | 74 | 75 | 181 | 68 | 179 | 178 | 192 |
96 | 175 | 174 | 164 | 85 | 86 | 87 | 89 | 88 | 90 | 91 | 172 | 173 | 163 | 162 | 161 |
97 | 159 | 158 | 100 | 101 | 102 | 103 | 104 | 105 | 106 | 155 | 156 | 157 | 147 | 146 | 160 |
128 | 143 | 142 | 132 | 133 | 134 | 119 | 120 | 121 | 122 | 123 | 124 | 125 | 131 | 130 | 129 |
144 | 127 | 126 | 116 | 117 | 118 | 135 | 136 | 137 | 138 | 139 | 140 | 141 | 115 | 114 | 113 |
145 | 111 | 110 | 148 | 149 | 150 | 151 | 152 | 153 | 154 | 107 | 108 | 109 | 99 | 98 | 112 |
176 | 82 | 83 | 93 | 165 | 166 | 170 | 168 | 169 | 167 | 171 | 92 | 84 | 94 | 95 | 81 |
177 | 66 | 67 | 77 | 76 | 187 | 186 | 184 | 185 | 183 | 182 | 69 | 180 | 78 | 79 | 80 |
208 | 50 | 51 | 196 | 53 | 203 | 202 | 200 | 201 | 199 | 54 | 60 | 205 | 62 | 63 | 49 |
209 | 223 | 211 | 45 | 44 | 43 | 42 | 41 | 40 | 39 | 214 | 213 | 212 | 222 | 210 | 48 |
240 | 226 | 227 | 237 | 28 | 27 | 26 | 25 | 24 | 23 | 230 | 229 | 228 | 30 | 239 | 17 |
241 | 15 | 254 | 13 | 252 | 11 | 250 | 9 | 8 | 247 | 6 | 245 | 4 | 243 | 2 | 256 |
Use this method to construct magic squares of order is multiple of 4 from 8x8. See
8x8, 12x12, 16x16, 20x20, 24x24, 28x28 and 32x32