PICTURED PUZZLES
Reading edition
No. I.—A GOOD SPECIMEN
Here is a nest of magic squares, seven of them within the four corners of one diagram:—
149 16 33 196 47 197 44 208 42 203 57 194 38 54 217
177 62 183 52 213 59 160 15 161 85 156 190 105 28 49
56 147 201 146 75 155 2 220 3 153 53 26 209 79 170
162 76 148 180 83 187 41 104 22 195 145 60 78 150 64
74 176 4 124 119 37 154 48 186 138 109 102 222 50 152
221 24 175 63 86 116 93 135 94 127 140 163 51 202 5
10 215 69 159 134 95 98 126 115 131 92 67 157 11 216
219 19 165 1 136 97 130 113 96 129 90 225 61 207 7
8 205 84 191 87 158 111 100 128 68 139 35 142 21 218
214 34 144 27 112 99 133 91 132 110 114 199 82 192 12
14 123 55 106 117 189 72 178 40 88 107 120 171 103 212
206 89 181 166 143 39 185 122 204 31 81 46 45 137 20
58 101 17 80 151 71 224 6 223 73 173 200 25 125 168
118 198 43 174 13 167 66 211 65 141 70 36 121 164 108
9 210 193 30 179 29 182 18 184 23 169 32 188 172 77
Image
As each border is removed a fresh magic square remains, in which the numbers in the cells of each row, column, and diagonal add up to the same sum, while each of these sums is a multiple of the central 113.
No. II.—A BORDERED DIAMOND By G. Slater
1
91 117
3 20 160
27 25 129 65
156 154 42 38 165
161 15 138 36 103 26
130 153 136 124 81 54 159
162 147 120 69 75 135 151 52
39 22 55 112 111 110 33 64 78
4 152 76 57 56 62 61 63 93 7
168 146 139 100 99 98 97 96 102 142 158
6 21 29 45 44 43 49 48 47 133 51 104
157 80 30 88 87 86 85 84 83 82 140 90 13
53 41 134 123 122 121 127 126 125 52 145 79
10 132 89 74 73 72 71 70 34 16 167
105 67 35 109 108 114 113 50 155 143
5 116 137 60 59 58 115 17 14
144 19 107 95 101 94 23 9
11 106 68 46 31 148 40
118 77 37 41 18 8
92 38 128 24 131
163 148 149 166
12 130 2
66 164
169
Image
It is a perfect magic diamond as it stands, and equally perfect are the diamonds that remain when each border of cells is removed, as is indicated by the lines.