Zie voor uitleg over basissleutelmethode (ultra magisch), het 12x12 magisch vierkant. Zie hieronder de uitwerking van bassleutelmethode (ultra magisch) voor het 28x28 magisch vierkant:
Neem 1x getal uit het eerste patroon
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
1 | 27 | 3 | 25 | 5 | 23 | 18 | 12 | 20 | 10 | 7 | 21 | 16 | 15 | 15 | 16 | 21 | 7 | 10 | 20 | 12 | 18 | 23 | 5 | 25 | 3 | 27 | 1 |
28 | 2 | 26 | 4 | 24 | 6 | 11 | 17 | 9 | 19 | 22 | 8 | 13 | 14 | 14 | 13 | 8 | 22 | 19 | 9 | 17 | 11 | 6 | 24 | 4 | 26 | 2 | 28 |
+ 28x [getal -/- 1] uit het tweede patroon (= reflectie van het eerste patroon)
1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 |
27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 |
3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 |
25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 |
5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 |
23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 |
18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 |
12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 |
20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 |
10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 |
7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 |
21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 |
16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 |
15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 |
15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 | 15 | 14 |
16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 | 16 | 13 |
21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 | 21 | 8 |
7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 | 7 | 22 |
10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 | 10 | 19 |
20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 | 20 | 9 |
12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 | 12 | 17 |
18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 | 18 | 11 |
23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 | 23 | 6 |
5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 | 5 | 24 |
25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 | 25 | 4 |
3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 | 3 | 26 |
27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 | 27 | 2 |
1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 | 1 | 28 |
= 28x28 ultra magisch vierkant
1 | 783 | 3 | 781 | 5 | 779 | 18 | 768 | 20 | 766 | 7 | 777 | 16 | 771 | 15 | 772 | 21 | 763 | 10 | 776 | 12 | 774 | 23 | 761 | 25 | 759 | 27 | 757 |
756 | 30 | 754 | 32 | 752 | 34 | 739 | 45 | 737 | 47 | 750 | 36 | 741 | 42 | 742 | 41 | 736 | 50 | 747 | 37 | 745 | 39 | 734 | 52 | 732 | 54 | 730 | 56 |
57 | 727 | 59 | 725 | 61 | 723 | 74 | 712 | 76 | 710 | 63 | 721 | 72 | 715 | 71 | 716 | 77 | 707 | 66 | 720 | 68 | 718 | 79 | 705 | 81 | 703 | 83 | 701 |
700 | 86 | 698 | 88 | 696 | 90 | 683 | 101 | 681 | 103 | 694 | 92 | 685 | 98 | 686 | 97 | 680 | 106 | 691 | 93 | 689 | 95 | 678 | 108 | 676 | 110 | 674 | 112 |
113 | 671 | 115 | 669 | 117 | 667 | 130 | 656 | 132 | 654 | 119 | 665 | 128 | 659 | 127 | 660 | 133 | 651 | 122 | 664 | 124 | 662 | 135 | 649 | 137 | 647 | 139 | 645 |
644 | 142 | 642 | 144 | 640 | 146 | 627 | 157 | 625 | 159 | 638 | 148 | 629 | 154 | 630 | 153 | 624 | 162 | 635 | 149 | 633 | 151 | 622 | 164 | 620 | 166 | 618 | 168 |
477 | 307 | 479 | 305 | 481 | 303 | 494 | 292 | 496 | 290 | 483 | 301 | 492 | 295 | 491 | 296 | 497 | 287 | 486 | 300 | 488 | 298 | 499 | 285 | 501 | 283 | 503 | 281 |
336 | 450 | 334 | 452 | 332 | 454 | 319 | 465 | 317 | 467 | 330 | 456 | 321 | 462 | 322 | 461 | 316 | 470 | 327 | 457 | 325 | 459 | 314 | 472 | 312 | 474 | 310 | 476 |
533 | 251 | 535 | 249 | 537 | 247 | 550 | 236 | 552 | 234 | 539 | 245 | 548 | 239 | 547 | 240 | 553 | 231 | 542 | 244 | 544 | 242 | 555 | 229 | 557 | 227 | 559 | 225 |
280 | 506 | 278 | 508 | 276 | 510 | 263 | 521 | 261 | 523 | 274 | 512 | 265 | 518 | 266 | 517 | 260 | 526 | 271 | 513 | 269 | 515 | 258 | 528 | 256 | 530 | 254 | 532 |
169 | 615 | 171 | 613 | 173 | 611 | 186 | 600 | 188 | 598 | 175 | 609 | 184 | 603 | 183 | 604 | 189 | 595 | 178 | 608 | 180 | 606 | 191 | 593 | 193 | 591 | 195 | 589 |
588 | 198 | 586 | 200 | 584 | 202 | 571 | 213 | 569 | 215 | 582 | 204 | 573 | 210 | 574 | 209 | 568 | 218 | 579 | 205 | 577 | 207 | 566 | 220 | 564 | 222 | 562 | 224 |
421 | 363 | 423 | 361 | 425 | 359 | 438 | 348 | 440 | 346 | 427 | 357 | 436 | 351 | 435 | 352 | 441 | 343 | 430 | 356 | 432 | 354 | 443 | 341 | 445 | 339 | 447 | 337 |
420 | 366 | 418 | 368 | 416 | 370 | 403 | 381 | 401 | 383 | 414 | 372 | 405 | 378 | 406 | 377 | 400 | 386 | 411 | 373 | 409 | 375 | 398 | 388 | 396 | 390 | 394 | 392 |
393 | 391 | 395 | 389 | 397 | 387 | 410 | 376 | 412 | 374 | 399 | 385 | 408 | 379 | 407 | 380 | 413 | 371 | 402 | 384 | 404 | 382 | 415 | 369 | 417 | 367 | 419 | 365 |
448 | 338 | 446 | 340 | 444 | 342 | 431 | 353 | 429 | 355 | 442 | 344 | 433 | 350 | 434 | 349 | 428 | 358 | 439 | 345 | 437 | 347 | 426 | 360 | 424 | 362 | 422 | 364 |
561 | 223 | 563 | 221 | 565 | 219 | 578 | 208 | 580 | 206 | 567 | 217 | 576 | 211 | 575 | 212 | 581 | 203 | 570 | 216 | 572 | 214 | 583 | 201 | 585 | 199 | 587 | 197 |
196 | 590 | 194 | 592 | 192 | 594 | 179 | 605 | 177 | 607 | 190 | 596 | 181 | 602 | 182 | 601 | 176 | 610 | 187 | 597 | 185 | 599 | 174 | 612 | 172 | 614 | 170 | 616 |
253 | 531 | 255 | 529 | 257 | 527 | 270 | 516 | 272 | 514 | 259 | 525 | 268 | 519 | 267 | 520 | 273 | 511 | 262 | 524 | 264 | 522 | 275 | 509 | 277 | 507 | 279 | 505 |
560 | 226 | 558 | 228 | 556 | 230 | 543 | 241 | 541 | 243 | 554 | 232 | 545 | 238 | 546 | 237 | 540 | 246 | 551 | 233 | 549 | 235 | 538 | 248 | 536 | 250 | 534 | 252 |
309 | 475 | 311 | 473 | 313 | 471 | 326 | 460 | 328 | 458 | 315 | 469 | 324 | 463 | 323 | 464 | 329 | 455 | 318 | 468 | 320 | 466 | 331 | 453 | 333 | 451 | 335 | 449 |
504 | 282 | 502 | 284 | 500 | 286 | 487 | 297 | 485 | 299 | 498 | 288 | 489 | 294 | 490 | 293 | 484 | 302 | 495 | 289 | 493 | 291 | 482 | 304 | 480 | 306 | 478 | 308 |
617 | 167 | 619 | 165 | 621 | 163 | 634 | 152 | 636 | 150 | 623 | 161 | 632 | 155 | 631 | 156 | 637 | 147 | 626 | 160 | 628 | 158 | 639 | 145 | 641 | 143 | 643 | 141 |
140 | 646 | 138 | 648 | 136 | 650 | 123 | 661 | 121 | 663 | 134 | 652 | 125 | 658 | 126 | 657 | 120 | 666 | 131 | 653 | 129 | 655 | 118 | 668 | 116 | 670 | 114 | 672 |
673 | 111 | 675 | 109 | 677 | 107 | 690 | 96 | 692 | 94 | 679 | 105 | 688 | 99 | 687 | 100 | 693 | 91 | 682 | 104 | 684 | 102 | 695 | 89 | 697 | 87 | 699 | 85 |
84 | 702 | 82 | 704 | 80 | 706 | 67 | 717 | 65 | 719 | 78 | 708 | 69 | 714 | 70 | 713 | 64 | 722 | 75 | 709 | 73 | 711 | 62 | 724 | 60 | 726 | 58 | 728 |
729 | 55 | 731 | 53 | 733 | 51 | 746 | 40 | 748 | 38 | 735 | 49 | 744 | 43 | 743 | 44 | 749 | 35 | 738 | 48 | 740 | 46 | 751 | 33 | 753 | 31 | 755 | 29 |
28 | 758 | 26 | 760 | 24 | 762 | 11 | 773 | 9 | 775 | 22 | 764 | 13 | 770 | 14 | 769 | 8 | 778 | 19 | 765 | 17 | 767 | 6 | 780 | 4 | 782 | 2 | 784 |
Dit 28x28 magisch vierkant is panmagisch, 2x2 compact, symmetrisch en kloppend voor 1/2 rij/kolom.