Basispatroon methode (1)
Het is ook mogelijk om een meest perfect magisch 20x20 vierkant te maken vanuit (het patroon van) elk willekeurig gekozen panmagisch 4x4 vierkant. Je hebt hiervoor 25x hetzelfde panmagisch 4x4 vierkant en 2 vaste patronen nodig.
Neem 1x getal uit patroon met 25x panmagisch 4x4 vierkant
| 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 |
| 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 |
| 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 |
| 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 |
| 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 |
| 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 |
| 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 |
| 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 |
| 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 |
| 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 |
| 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 |
| 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 |
| 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 |
| 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 |
| 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 |
| 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 |
| 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 | 15 | 6 | 12 | 1 |
| 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 | 4 | 9 | 7 | 14 |
| 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 | 5 | 16 | 2 | 11 |
| 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 | 10 | 3 | 13 | 8 |
+ 16x getal uit het eerste vaste patroon
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
| 0 | 4 | 4 | 0 | 4 | 0 | 0 | 4 | 1 | 3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | 2 | 2 | 2 |
| 4 | 0 | 0 | 4 | 0 | 4 | 4 | 0 | 3 | 1 | 1 | 3 | 1 | 3 | 3 | 1 | 2 | 2 | 2 | 2 |
+ 80x getal uit het tweede vaste patroon
| 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 |
| 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 |
| 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 |
| 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 |
| 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 |
| 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 |
| 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 |
| 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 |
| 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 |
| 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
| 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
| 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 |
| 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
| 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 |
| 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 |
| 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
= 20x20 meest perfect magisch vierkant
| 15 | 390 | 76 | 321 | 79 | 326 | 12 | 385 | 31 | 374 | 60 | 337 | 63 | 342 | 28 | 369 | 47 | 358 | 44 | 353 |
| 388 | 9 | 327 | 78 | 324 | 73 | 391 | 14 | 372 | 25 | 343 | 62 | 340 | 57 | 375 | 30 | 356 | 41 | 359 | 46 |
| 325 | 80 | 386 | 11 | 389 | 16 | 322 | 75 | 341 | 64 | 370 | 27 | 373 | 32 | 338 | 59 | 357 | 48 | 354 | 43 |
| 74 | 323 | 13 | 392 | 10 | 387 | 77 | 328 | 58 | 339 | 29 | 376 | 26 | 371 | 61 | 344 | 42 | 355 | 45 | 360 |
| 335 | 70 | 396 | 1 | 399 | 6 | 332 | 65 | 351 | 54 | 380 | 17 | 383 | 22 | 348 | 49 | 367 | 38 | 364 | 33 |
| 68 | 329 | 7 | 398 | 4 | 393 | 71 | 334 | 52 | 345 | 23 | 382 | 20 | 377 | 55 | 350 | 36 | 361 | 39 | 366 |
| 5 | 400 | 66 | 331 | 69 | 336 | 2 | 395 | 21 | 384 | 50 | 347 | 53 | 352 | 18 | 379 | 37 | 368 | 34 | 363 |
| 394 | 3 | 333 | 72 | 330 | 67 | 397 | 8 | 378 | 19 | 349 | 56 | 346 | 51 | 381 | 24 | 362 | 35 | 365 | 40 |
| 95 | 310 | 156 | 241 | 159 | 246 | 92 | 305 | 111 | 294 | 140 | 257 | 143 | 262 | 108 | 289 | 127 | 278 | 124 | 273 |
| 308 | 89 | 247 | 158 | 244 | 153 | 311 | 94 | 292 | 105 | 263 | 142 | 260 | 137 | 295 | 110 | 276 | 121 | 279 | 126 |
| 245 | 160 | 306 | 91 | 309 | 96 | 242 | 155 | 261 | 144 | 290 | 107 | 293 | 112 | 258 | 139 | 277 | 128 | 274 | 123 |
| 154 | 243 | 93 | 312 | 90 | 307 | 157 | 248 | 138 | 259 | 109 | 296 | 106 | 291 | 141 | 264 | 122 | 275 | 125 | 280 |
| 255 | 150 | 316 | 81 | 319 | 86 | 252 | 145 | 271 | 134 | 300 | 97 | 303 | 102 | 268 | 129 | 287 | 118 | 284 | 113 |
| 148 | 249 | 87 | 318 | 84 | 313 | 151 | 254 | 132 | 265 | 103 | 302 | 100 | 297 | 135 | 270 | 116 | 281 | 119 | 286 |
| 85 | 320 | 146 | 251 | 149 | 256 | 82 | 315 | 101 | 304 | 130 | 267 | 133 | 272 | 98 | 299 | 117 | 288 | 114 | 283 |
| 314 | 83 | 253 | 152 | 250 | 147 | 317 | 88 | 298 | 99 | 269 | 136 | 266 | 131 | 301 | 104 | 282 | 115 | 285 | 120 |
| 175 | 230 | 236 | 161 | 239 | 166 | 172 | 225 | 191 | 214 | 220 | 177 | 223 | 182 | 188 | 209 | 207 | 198 | 204 | 193 |
| 228 | 169 | 167 | 238 | 164 | 233 | 231 | 174 | 212 | 185 | 183 | 222 | 180 | 217 | 215 | 190 | 196 | 201 | 199 | 206 |
| 165 | 240 | 226 | 171 | 229 | 176 | 162 | 235 | 181 | 224 | 210 | 187 | 213 | 192 | 178 | 219 | 197 | 208 | 194 | 203 |
| 234 | 163 | 173 | 232 | 170 | 227 | 237 | 168 | 218 | 179 | 189 | 216 | 186 | 211 | 221 | 184 | 202 | 195 | 205 | 200 |
Deze methode werkt voor elke grootte is veelvoud van 4 vanaf 8x8. Zie uitgewerkt voor 8x8, 12x12, 16x16 (1a), 16x16 (1b), 16x16 (1c), 20x20, 24x24 (1a), 24x24 (1b), 28x28, 32x32 (1a), 32x32 (1b), 32x32 (1c) en 32x32 (1d)
Als je deze methode iets anders uitwerkt, dan krijg je het perfecte magische vierkant
