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
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
28 | 2 | 2 | 28 | 5 | 23 | 23 | 5 | 9 | 19 | 19 | 9 | 16 | 15 | 15 | 16 | 11 | 17 | 17 | 11 | 7 | 21 | 21 | 7 | 26 | 4 | 4 | 26 |
1 | 27 | 27 | 1 | 24 | 6 | 6 | 24 | 20 | 10 | 10 | 20 | 13 | 14 | 14 | 13 | 18 | 12 | 12 | 18 | 22 | 8 | 8 | 22 | 3 | 25 | 25 | 3 |
+ 28x [getal -/- 1] uit het tweede patroon (= reflectie van het eerste patroon)
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 | 1 |
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 | 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 | 27 |
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 | 1 |
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 |
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 |
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 | 20 |
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 | 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 | 10 |
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 | 20 |
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 |
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 | 18 |
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 | 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 | 12 |
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 | 18 |
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 |
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 |
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 | 3 |
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 | 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 | 25 |
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 | 3 |
= 28x28 ultra magisch vierkant
784 | 2 | 758 | 28 | 761 | 23 | 779 | 5 | 765 | 19 | 775 | 9 | 772 | 15 | 771 | 16 | 767 | 17 | 773 | 11 | 763 | 21 | 777 | 7 | 782 | 4 | 760 | 26 |
29 | 755 | 55 | 729 | 52 | 734 | 34 | 752 | 48 | 738 | 38 | 748 | 41 | 742 | 42 | 741 | 46 | 740 | 40 | 746 | 50 | 736 | 36 | 750 | 31 | 753 | 53 | 731 |
56 | 730 | 30 | 756 | 33 | 751 | 51 | 733 | 37 | 747 | 47 | 737 | 44 | 743 | 43 | 744 | 39 | 745 | 45 | 739 | 35 | 749 | 49 | 735 | 54 | 732 | 32 | 754 |
757 | 27 | 783 | 1 | 780 | 6 | 762 | 24 | 776 | 10 | 766 | 20 | 769 | 14 | 770 | 13 | 774 | 12 | 768 | 18 | 778 | 8 | 764 | 22 | 759 | 25 | 781 | 3 |
140 | 646 | 114 | 672 | 117 | 667 | 135 | 649 | 121 | 663 | 131 | 653 | 128 | 659 | 127 | 660 | 123 | 661 | 129 | 655 | 119 | 665 | 133 | 651 | 138 | 648 | 116 | 670 |
617 | 167 | 643 | 141 | 640 | 146 | 622 | 164 | 636 | 150 | 626 | 160 | 629 | 154 | 630 | 153 | 634 | 152 | 628 | 158 | 638 | 148 | 624 | 162 | 619 | 165 | 641 | 143 |
644 | 142 | 618 | 168 | 621 | 163 | 639 | 145 | 625 | 159 | 635 | 149 | 632 | 155 | 631 | 156 | 627 | 157 | 633 | 151 | 623 | 161 | 637 | 147 | 642 | 144 | 620 | 166 |
113 | 671 | 139 | 645 | 136 | 650 | 118 | 668 | 132 | 654 | 122 | 664 | 125 | 658 | 126 | 657 | 130 | 656 | 124 | 662 | 134 | 652 | 120 | 666 | 115 | 669 | 137 | 647 |
252 | 534 | 226 | 560 | 229 | 555 | 247 | 537 | 233 | 551 | 243 | 541 | 240 | 547 | 239 | 548 | 235 | 549 | 241 | 543 | 231 | 553 | 245 | 539 | 250 | 536 | 228 | 558 |
505 | 279 | 531 | 253 | 528 | 258 | 510 | 276 | 524 | 262 | 514 | 272 | 517 | 266 | 518 | 265 | 522 | 264 | 516 | 270 | 526 | 260 | 512 | 274 | 507 | 277 | 529 | 255 |
532 | 254 | 506 | 280 | 509 | 275 | 527 | 257 | 513 | 271 | 523 | 261 | 520 | 267 | 519 | 268 | 515 | 269 | 521 | 263 | 511 | 273 | 525 | 259 | 530 | 256 | 508 | 278 |
225 | 559 | 251 | 533 | 248 | 538 | 230 | 556 | 244 | 542 | 234 | 552 | 237 | 546 | 238 | 545 | 242 | 544 | 236 | 550 | 246 | 540 | 232 | 554 | 227 | 557 | 249 | 535 |
448 | 338 | 422 | 364 | 425 | 359 | 443 | 341 | 429 | 355 | 439 | 345 | 436 | 351 | 435 | 352 | 431 | 353 | 437 | 347 | 427 | 357 | 441 | 343 | 446 | 340 | 424 | 362 |
393 | 391 | 419 | 365 | 416 | 370 | 398 | 388 | 412 | 374 | 402 | 384 | 405 | 378 | 406 | 377 | 410 | 376 | 404 | 382 | 414 | 372 | 400 | 386 | 395 | 389 | 417 | 367 |
420 | 366 | 394 | 392 | 397 | 387 | 415 | 369 | 401 | 383 | 411 | 373 | 408 | 379 | 407 | 380 | 403 | 381 | 409 | 375 | 399 | 385 | 413 | 371 | 418 | 368 | 396 | 390 |
421 | 363 | 447 | 337 | 444 | 342 | 426 | 360 | 440 | 346 | 430 | 356 | 433 | 350 | 434 | 349 | 438 | 348 | 432 | 354 | 442 | 344 | 428 | 358 | 423 | 361 | 445 | 339 |
308 | 478 | 282 | 504 | 285 | 499 | 303 | 481 | 289 | 495 | 299 | 485 | 296 | 491 | 295 | 492 | 291 | 493 | 297 | 487 | 287 | 497 | 301 | 483 | 306 | 480 | 284 | 502 |
449 | 335 | 475 | 309 | 472 | 314 | 454 | 332 | 468 | 318 | 458 | 328 | 461 | 322 | 462 | 321 | 466 | 320 | 460 | 326 | 470 | 316 | 456 | 330 | 451 | 333 | 473 | 311 |
476 | 310 | 450 | 336 | 453 | 331 | 471 | 313 | 457 | 327 | 467 | 317 | 464 | 323 | 463 | 324 | 459 | 325 | 465 | 319 | 455 | 329 | 469 | 315 | 474 | 312 | 452 | 334 |
281 | 503 | 307 | 477 | 304 | 482 | 286 | 500 | 300 | 486 | 290 | 496 | 293 | 490 | 294 | 489 | 298 | 488 | 292 | 494 | 302 | 484 | 288 | 498 | 283 | 501 | 305 | 479 |
196 | 590 | 170 | 616 | 173 | 611 | 191 | 593 | 177 | 607 | 187 | 597 | 184 | 603 | 183 | 604 | 179 | 605 | 185 | 599 | 175 | 609 | 189 | 595 | 194 | 592 | 172 | 614 |
561 | 223 | 587 | 197 | 584 | 202 | 566 | 220 | 580 | 206 | 570 | 216 | 573 | 210 | 574 | 209 | 578 | 208 | 572 | 214 | 582 | 204 | 568 | 218 | 563 | 221 | 585 | 199 |
588 | 198 | 562 | 224 | 565 | 219 | 583 | 201 | 569 | 215 | 579 | 205 | 576 | 211 | 575 | 212 | 571 | 213 | 577 | 207 | 567 | 217 | 581 | 203 | 586 | 200 | 564 | 222 |
169 | 615 | 195 | 589 | 192 | 594 | 174 | 612 | 188 | 598 | 178 | 608 | 181 | 602 | 182 | 601 | 186 | 600 | 180 | 606 | 190 | 596 | 176 | 610 | 171 | 613 | 193 | 591 |
728 | 58 | 702 | 84 | 705 | 79 | 723 | 61 | 709 | 75 | 719 | 65 | 716 | 71 | 715 | 72 | 711 | 73 | 717 | 67 | 707 | 77 | 721 | 63 | 726 | 60 | 704 | 82 |
85 | 699 | 111 | 673 | 108 | 678 | 90 | 696 | 104 | 682 | 94 | 692 | 97 | 686 | 98 | 685 | 102 | 684 | 96 | 690 | 106 | 680 | 92 | 694 | 87 | 697 | 109 | 675 |
112 | 674 | 86 | 700 | 89 | 695 | 107 | 677 | 93 | 691 | 103 | 681 | 100 | 687 | 99 | 688 | 95 | 689 | 101 | 683 | 91 | 693 | 105 | 679 | 110 | 676 | 88 | 698 |
701 | 83 | 727 | 57 | 724 | 62 | 706 | 80 | 720 | 66 | 710 | 76 | 713 | 70 | 714 | 69 | 718 | 68 | 712 | 74 | 722 | 64 | 708 | 78 | 703 | 81 | 725 | 59 |
Dit 28x28 magisch vierkant is panmagisch, 2x2 compact, symmetrisch binnen elk 4x4 deelvierkant en kloppend voor 1/2 rij/kolom en 1/7 diagonaal.
Deze sleutel werkt voor grootte is veelvoud van 4 vanaf het 8x8 magisch vierkant. Zie op deze website uitgewerkt voor 8x8, 12x12, 16x16, 20x20, 24x24, 28x28 en 32x32