Basic pattern method (3)

 

Use 4x the same most perfect Franklin panmagic 16x16 square and two reflecting grids to construct a most perfect Franklin panmagic 32x32 square.

 

 

Take 1x number

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

 

 

+256x number

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

 

 

+512x number

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 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 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
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 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
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 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
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 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 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 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
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 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
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 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
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