Office Applications and Entertainment, Magic Squares
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Inlaid Magic Squares, 14 x 14, Mc14 = 1379, Mc10 = 990
Construction Method

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

Procedure

  • The Generator (20 magic lines) has been constructed by adding Order 4 magic series (22 ea, s4 = 389) to the Order 10 Inlay (s10 = 990).
  • The Semi Magic Square has been constructed by permutating the numbers within the rows and columns of the Generator.
  • The diagonal parts in the bottom right corner could be completed while constructing the Semi Magic Square.
  • The Simple Magic Square could be constructed by permutation of the (border) rows and columns of the Semi Magic Square as shown.
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