Gebruik 7x7 hetzelfde 3x3 magisch vierkant en 7x7 het '3x3 opgeblazen' 7x7 magisch vierkant om een (simpel) 21x21 magisch vierkant te maken.
Neem een getal uit het eerste patroon en tel daarbij (getal -/- 1) x 9 uit hetzelfde vakje vanuit het tweede patroon bij op.
1x getal
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 | 2 | 9 | 4 |
7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 | 7 | 5 | 3 |
6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 | 6 | 1 | 8 |
+ (getal -/- 1) x 9
1 | 1 | 1 | 35 | 35 | 35 | 16 | 16 | 16 | 45 | 45 | 45 | 39 | 39 | 39 | 26 | 26 | 26 | 13 | 13 | 13 |
1 | 1 | 1 | 35 | 35 | 35 | 16 | 16 | 16 | 45 | 45 | 45 | 39 | 39 | 39 | 26 | 26 | 26 | 13 | 13 | 13 |
1 | 1 | 1 | 35 | 35 | 35 | 16 | 16 | 16 | 45 | 45 | 45 | 39 | 39 | 39 | 26 | 26 | 26 | 13 | 13 | 13 |
47 | 47 | 47 | 41 | 41 | 41 | 22 | 22 | 22 | 14 | 14 | 14 | 2 | 2 | 2 | 31 | 31 | 31 | 18 | 18 | 18 |
47 | 47 | 47 | 41 | 41 | 41 | 22 | 22 | 22 | 14 | 14 | 14 | 2 | 2 | 2 | 31 | 31 | 31 | 18 | 18 | 18 |
47 | 47 | 47 | 41 | 41 | 41 | 22 | 22 | 22 | 14 | 14 | 14 | 2 | 2 | 2 | 31 | 31 | 31 | 18 | 18 | 18 |
10 | 10 | 10 | 4 | 4 | 4 | 33 | 33 | 33 | 20 | 20 | 20 | 43 | 43 | 43 | 42 | 42 | 42 | 23 | 23 | 23 |
10 | 10 | 10 | 4 | 4 | 4 | 33 | 33 | 33 | 20 | 20 | 20 | 43 | 43 | 43 | 42 | 42 | 42 | 23 | 23 | 23 |
10 | 10 | 10 | 4 | 4 | 4 | 33 | 33 | 33 | 20 | 20 | 20 | 43 | 43 | 43 | 42 | 42 | 42 | 23 | 23 | 23 |
21 | 21 | 21 | 44 | 44 | 44 | 38 | 38 | 38 | 25 | 25 | 25 | 12 | 12 | 12 | 6 | 6 | 6 | 29 | 29 | 29 |
21 | 21 | 21 | 44 | 44 | 44 | 38 | 38 | 38 | 25 | 25 | 25 | 12 | 12 | 12 | 6 | 6 | 6 | 29 | 29 | 29 |
21 | 21 | 21 | 44 | 44 | 44 | 38 | 38 | 38 | 25 | 25 | 25 | 12 | 12 | 12 | 6 | 6 | 6 | 29 | 29 | 29 |
27 | 27 | 27 | 8 | 8 | 8 | 7 | 7 | 7 | 30 | 30 | 30 | 17 | 17 | 17 | 46 | 46 | 46 | 40 | 40 | 40 |
27 | 27 | 27 | 8 | 8 | 8 | 7 | 7 | 7 | 30 | 30 | 30 | 17 | 17 | 17 | 46 | 46 | 46 | 40 | 40 | 40 |
27 | 27 | 27 | 8 | 8 | 8 | 7 | 7 | 7 | 30 | 30 | 30 | 17 | 17 | 17 | 46 | 46 | 46 | 40 | 40 | 40 |
32 | 32 | 32 | 19 | 19 | 19 | 48 | 48 | 48 | 36 | 36 | 36 | 28 | 28 | 28 | 9 | 9 | 9 | 3 | 3 | 3 |
32 | 32 | 32 | 19 | 19 | 19 | 48 | 48 | 48 | 36 | 36 | 36 | 28 | 28 | 28 | 9 | 9 | 9 | 3 | 3 | 3 |
32 | 32 | 32 | 19 | 19 | 19 | 48 | 48 | 48 | 36 | 36 | 36 | 28 | 28 | 28 | 9 | 9 | 9 | 3 | 3 | 3 |
37 | 37 | 37 | 24 | 24 | 24 | 11 | 11 | 11 | 5 | 5 | 5 | 34 | 34 | 34 | 15 | 15 | 15 | 49 | 49 | 49 |
37 | 37 | 37 | 24 | 24 | 24 | 11 | 11 | 11 | 5 | 5 | 5 | 34 | 34 | 34 | 15 | 15 | 15 | 49 | 49 | 49 |
37 | 37 | 37 | 24 | 24 | 24 | 11 | 11 | 11 | 5 | 5 | 5 | 34 | 34 | 34 | 15 | 15 | 15 | 49 | 49 | 49 |
= 21x21 (simpel) magisch vierkant
2 | 9 | 4 | 308 | 315 | 310 | 137 | 144 | 139 | 398 | 405 | 400 | 344 | 351 | 346 | 227 | 234 | 229 | 110 | 117 | 112 |
7 | 5 | 3 | 313 | 311 | 309 | 142 | 140 | 138 | 403 | 401 | 399 | 349 | 347 | 345 | 232 | 230 | 228 | 115 | 113 | 111 |
6 | 1 | 8 | 312 | 307 | 314 | 141 | 136 | 143 | 402 | 397 | 404 | 348 | 343 | 350 | 231 | 226 | 233 | 114 | 109 | 116 |
416 | 423 | 418 | 362 | 369 | 364 | 191 | 198 | 193 | 119 | 126 | 121 | 11 | 18 | 13 | 272 | 279 | 274 | 155 | 162 | 157 |
421 | 419 | 417 | 367 | 365 | 363 | 196 | 194 | 192 | 124 | 122 | 120 | 16 | 14 | 12 | 277 | 275 | 273 | 160 | 158 | 156 |
420 | 415 | 422 | 366 | 361 | 368 | 195 | 190 | 197 | 123 | 118 | 125 | 15 | 10 | 17 | 276 | 271 | 278 | 159 | 154 | 161 |
83 | 90 | 85 | 29 | 36 | 31 | 290 | 297 | 292 | 173 | 180 | 175 | 380 | 387 | 382 | 371 | 378 | 373 | 200 | 207 | 202 |
88 | 86 | 84 | 34 | 32 | 30 | 295 | 293 | 291 | 178 | 176 | 174 | 385 | 383 | 381 | 376 | 374 | 372 | 205 | 203 | 201 |
87 | 82 | 89 | 33 | 28 | 35 | 294 | 289 | 296 | 177 | 172 | 179 | 384 | 379 | 386 | 375 | 370 | 377 | 204 | 199 | 206 |
182 | 189 | 184 | 389 | 396 | 391 | 335 | 342 | 337 | 218 | 225 | 220 | 101 | 108 | 103 | 47 | 54 | 49 | 254 | 261 | 256 |
187 | 185 | 183 | 394 | 392 | 390 | 340 | 338 | 336 | 223 | 221 | 219 | 106 | 104 | 102 | 52 | 50 | 48 | 259 | 257 | 255 |
186 | 181 | 188 | 393 | 388 | 395 | 339 | 334 | 341 | 222 | 217 | 224 | 105 | 100 | 107 | 51 | 46 | 53 | 258 | 253 | 260 |
236 | 243 | 238 | 65 | 72 | 67 | 56 | 63 | 58 | 263 | 270 | 265 | 146 | 153 | 148 | 407 | 414 | 409 | 353 | 360 | 355 |
241 | 239 | 237 | 70 | 68 | 66 | 61 | 59 | 57 | 268 | 266 | 264 | 151 | 149 | 147 | 412 | 410 | 408 | 358 | 356 | 354 |
240 | 235 | 242 | 69 | 64 | 71 | 60 | 55 | 62 | 267 | 262 | 269 | 150 | 145 | 152 | 411 | 406 | 413 | 357 | 352 | 359 |
281 | 288 | 283 | 164 | 171 | 166 | 425 | 432 | 427 | 317 | 324 | 319 | 245 | 252 | 247 | 74 | 81 | 76 | 20 | 27 | 22 |
286 | 284 | 282 | 169 | 167 | 165 | 430 | 428 | 426 | 322 | 320 | 318 | 250 | 248 | 246 | 79 | 77 | 75 | 25 | 23 | 21 |
285 | 280 | 287 | 168 | 163 | 170 | 429 | 424 | 431 | 321 | 316 | 323 | 249 | 244 | 251 | 78 | 73 | 80 | 24 | 19 | 26 |
326 | 333 | 328 | 209 | 216 | 211 | 92 | 99 | 94 | 38 | 45 | 40 | 299 | 306 | 301 | 128 | 135 | 130 | 434 | 441 | 436 |
331 | 329 | 327 | 214 | 212 | 210 | 97 | 95 | 93 | 43 | 41 | 39 | 304 | 302 | 300 | 133 | 131 | 129 | 439 | 437 | 435 |
330 | 325 | 332 | 213 | 208 | 215 | 96 | 91 | 98 | 42 | 37 | 44 | 303 | 298 | 305 | 132 | 127 | 134 | 438 | 433 | 440 |
Zie simpel samengestelde magische vierkanten op deze website uitgewerkt voor
9x9, 12x12, 15x15a, 15x15b, 18x18, 20x20, 21x21a, 21x21b, 24x24a, 24x24b, 25x25, 27x27a, 27x27b, 28x28, 30x30a en 30x30b