### 14x14 inlaid magic square with 12x12 Bree/Ollerenshaw inlay

Construct the 12x12 inlay of the 14x14 magic square with the method Bree/Ollerenshaw.

Arrange the numbers from 1 up to 144 and mix the numbers of the four quarters (= four different colours).

 Arrange the numbers 1 2 3 4 5 6 12 11 10 9 8 7 13 14 15 16 17 18 24 23 22 21 20 19 25 26 27 28 29 30 36 35 34 33 32 31 37 38 39 40 41 42 48 47 46 45 44 43 49 50 51 52 53 54 60 59 58 57 56 55 61 62 63 64 65 66 72 71 70 69 68 67 133 134 135 136 137 138 144 143 142 141 140 139 121 122 123 124 125 126 132 131 130 129 128 127 109 110 111 112 113 114 120 119 118 117 116 115 97 98 99 100 101 102 108 107 106 105 104 103 85 86 87 88 89 90 96 95 94 93 92 91 73 74 75 76 77 78 84 83 82 81 80 79 Mix the numbers 1 134 3 136 5 138 12 143 10 141 8 139 132 23 130 21 128 19 121 14 123 16 125 18 25 110 27 112 29 114 36 119 34 117 32 115 108 47 106 45 104 43 97 38 99 40 101 42 49 86 51 88 53 90 60 95 58 93 56 91 84 71 82 69 80 67 73 62 75 64 77 66 133 2 135 4 137 6 144 11 142 9 140 7 24 131 22 129 20 127 13 122 15 124 17 126 109 26 111 28 113 30 120 35 118 33 116 31 48 107 46 105 44 103 37 98 39 100 41 102 85 50 87 52 89 54 96 59 94 57 92 55 72 83 70 81 68 79 61 74 63 76 65 78

This 12x12 square is panmagic and 2x2 compact.

To construct the border take the numbers 1 up to 26 (and 171 up to 196) ; so we need to add 26 to all numbers of the 12x12 inlay. We use the border of the 14x14 concentric magic square on website http://users.eastlink.ca/~sharrywhite/BorderedMagicSquares.html

Combine the 12x12 inlay with the border and you get the following inlaid 14x14 magic square:

14x14 magic square (with 12x12 Bree/Ollerenshaw inlay)

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

14x14, Inlaid (1).xls