Neem als eerste patroon (in de lagen 1 t/m 7 en 15 t/m 21) 14x speciaal samengesteld 28x28 magisch vierkant en (in de lagen 8 t/m 14 en 22 t/m 28) 14x de inverse hiervan. Het tweede patroon bestaat uit de getallen 0 t/m 27. Zie onder de patronen en het resultaat van laag 1.
Neem 1x getal uit 1e patroon met speciaal samengesteld 28x28 magisch vierk. [laag 1]
1 | 35 | 16 | 45 | 39 | 26 | 13 | 392 | 358 | 377 | 348 | 354 | 367 | 380 | 589 | 623 | 604 | 633 | 627 | 614 | 601 | 588 | 554 | 573 | 544 | 550 | 563 | 576 |
47 | 41 | 22 | 14 | 2 | 31 | 18 | 346 | 352 | 371 | 379 | 391 | 362 | 375 | 635 | 629 | 610 | 602 | 590 | 619 | 606 | 542 | 548 | 567 | 575 | 587 | 558 | 571 |
10 | 4 | 33 | 20 | 43 | 42 | 23 | 383 | 389 | 360 | 373 | 350 | 351 | 370 | 598 | 592 | 621 | 608 | 631 | 630 | 611 | 579 | 585 | 556 | 569 | 546 | 547 | 566 |
21 | 44 | 38 | 25 | 12 | 6 | 29 | 372 | 349 | 355 | 368 | 381 | 387 | 364 | 609 | 632 | 626 | 613 | 600 | 594 | 617 | 568 | 545 | 551 | 564 | 577 | 583 | 560 |
27 | 8 | 7 | 30 | 17 | 46 | 40 | 366 | 385 | 386 | 363 | 376 | 347 | 353 | 615 | 596 | 595 | 618 | 605 | 634 | 628 | 562 | 581 | 582 | 559 | 572 | 543 | 549 |
32 | 19 | 48 | 36 | 28 | 9 | 3 | 361 | 374 | 345 | 357 | 365 | 384 | 390 | 620 | 607 | 636 | 624 | 616 | 597 | 591 | 557 | 570 | 541 | 553 | 561 | 580 | 586 |
37 | 24 | 11 | 5 | 34 | 15 | 49 | 356 | 369 | 382 | 388 | 359 | 378 | 344 | 625 | 612 | 599 | 593 | 622 | 603 | 637 | 552 | 565 | 578 | 584 | 555 | 574 | 540 |
735 | 701 | 720 | 691 | 697 | 710 | 723 | 442 | 476 | 457 | 486 | 480 | 467 | 454 | 147 | 113 | 132 | 103 | 109 | 122 | 135 | 246 | 280 | 261 | 290 | 284 | 271 | 258 |
689 | 695 | 714 | 722 | 734 | 705 | 718 | 488 | 482 | 463 | 455 | 443 | 472 | 459 | 101 | 107 | 126 | 134 | 146 | 117 | 130 | 292 | 286 | 267 | 259 | 247 | 276 | 263 |
726 | 732 | 703 | 716 | 693 | 694 | 713 | 451 | 445 | 474 | 461 | 484 | 483 | 464 | 138 | 144 | 115 | 128 | 105 | 106 | 125 | 255 | 249 | 278 | 265 | 288 | 287 | 268 |
715 | 692 | 698 | 711 | 724 | 730 | 707 | 462 | 485 | 479 | 466 | 453 | 447 | 470 | 127 | 104 | 110 | 123 | 136 | 142 | 119 | 266 | 289 | 283 | 270 | 257 | 251 | 274 |
709 | 728 | 729 | 706 | 719 | 690 | 696 | 468 | 449 | 448 | 471 | 458 | 487 | 481 | 121 | 140 | 141 | 118 | 131 | 102 | 108 | 272 | 253 | 252 | 275 | 262 | 291 | 285 |
704 | 717 | 688 | 700 | 708 | 727 | 733 | 473 | 460 | 489 | 477 | 469 | 450 | 444 | 116 | 129 | 100 | 112 | 120 | 139 | 145 | 277 | 264 | 293 | 281 | 273 | 254 | 248 |
699 | 712 | 725 | 731 | 702 | 721 | 687 | 478 | 465 | 452 | 446 | 475 | 456 | 490 | 111 | 124 | 137 | 143 | 114 | 133 | 99 | 282 | 269 | 256 | 250 | 279 | 260 | 294 |
196 | 162 | 181 | 152 | 158 | 171 | 184 | 197 | 231 | 212 | 241 | 235 | 222 | 209 | 784 | 750 | 769 | 740 | 746 | 759 | 772 | 393 | 427 | 408 | 437 | 431 | 418 | 405 |
150 | 156 | 175 | 183 | 195 | 166 | 179 | 243 | 237 | 218 | 210 | 198 | 227 | 214 | 738 | 744 | 763 | 771 | 783 | 754 | 767 | 439 | 433 | 414 | 406 | 394 | 423 | 410 |
187 | 193 | 164 | 177 | 154 | 155 | 174 | 206 | 200 | 229 | 216 | 239 | 238 | 219 | 775 | 781 | 752 | 765 | 742 | 743 | 762 | 402 | 396 | 425 | 412 | 435 | 434 | 415 |
176 | 153 | 159 | 172 | 185 | 191 | 168 | 217 | 240 | 234 | 221 | 208 | 202 | 225 | 764 | 741 | 747 | 760 | 773 | 779 | 756 | 413 | 436 | 430 | 417 | 404 | 398 | 421 |
170 | 189 | 190 | 167 | 180 | 151 | 157 | 223 | 204 | 203 | 226 | 213 | 242 | 236 | 758 | 777 | 778 | 755 | 768 | 739 | 745 | 419 | 400 | 399 | 422 | 409 | 438 | 432 |
165 | 178 | 149 | 161 | 169 | 188 | 194 | 228 | 215 | 244 | 232 | 224 | 205 | 199 | 753 | 766 | 737 | 749 | 757 | 776 | 782 | 424 | 411 | 440 | 428 | 420 | 401 | 395 |
160 | 173 | 186 | 192 | 163 | 182 | 148 | 233 | 220 | 207 | 201 | 230 | 211 | 245 | 748 | 761 | 774 | 780 | 751 | 770 | 736 | 429 | 416 | 403 | 397 | 426 | 407 | 441 |
638 | 672 | 653 | 682 | 676 | 663 | 650 | 539 | 505 | 524 | 495 | 501 | 514 | 527 | 50 | 84 | 65 | 94 | 88 | 75 | 62 | 343 | 309 | 328 | 299 | 305 | 318 | 331 |
684 | 678 | 659 | 651 | 639 | 668 | 655 | 493 | 499 | 518 | 526 | 538 | 509 | 522 | 96 | 90 | 71 | 63 | 51 | 80 | 67 | 297 | 303 | 322 | 330 | 342 | 313 | 326 |
647 | 641 | 670 | 657 | 680 | 679 | 660 | 530 | 536 | 507 | 520 | 497 | 498 | 517 | 59 | 53 | 82 | 69 | 92 | 91 | 72 | 334 | 340 | 311 | 324 | 301 | 302 | 321 |
658 | 681 | 675 | 662 | 649 | 643 | 666 | 519 | 496 | 502 | 515 | 528 | 534 | 511 | 70 | 93 | 87 | 74 | 61 | 55 | 78 | 323 | 300 | 306 | 319 | 332 | 338 | 315 |
664 | 645 | 644 | 667 | 654 | 683 | 677 | 513 | 532 | 533 | 510 | 523 | 494 | 500 | 76 | 57 | 56 | 79 | 66 | 95 | 89 | 317 | 336 | 337 | 314 | 327 | 298 | 304 |
669 | 656 | 685 | 673 | 665 | 646 | 640 | 508 | 521 | 492 | 504 | 512 | 531 | 537 | 81 | 68 | 97 | 85 | 77 | 58 | 52 | 312 | 325 | 296 | 308 | 316 | 335 | 341 |
674 | 661 | 648 | 642 | 671 | 652 | 686 | 503 | 516 | 529 | 535 | 506 | 525 | 491 | 86 | 73 | 60 | 54 | 83 | 64 | 98 | 307 | 320 | 333 | 339 | 310 | 329 | 295 |
+ 784x getal uit 2e patroon met de getallen 0 t/m 27 [laag 1]
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
= 28x28x28 pantriagonaal magische kubus [laag 1]
1 | 35 | 16 | 45 | 39 | 26 | 13 | 21560 | 21526 | 21545 | 21516 | 21522 | 21535 | 21548 | 589 | 623 | 604 | 633 | 627 | 614 | 601 | 21756 | 21722 | 21741 | 21712 | 21718 | 21731 | 21744 |
47 | 41 | 22 | 14 | 2 | 31 | 18 | 21514 | 21520 | 21539 | 21547 | 21559 | 21530 | 21543 | 635 | 629 | 610 | 602 | 590 | 619 | 606 | 21710 | 21716 | 21735 | 21743 | 21755 | 21726 | 21739 |
10 | 4 | 33 | 20 | 43 | 42 | 23 | 21551 | 21557 | 21528 | 21541 | 21518 | 21519 | 21538 | 598 | 592 | 621 | 608 | 631 | 630 | 611 | 21747 | 21753 | 21724 | 21737 | 21714 | 21715 | 21734 |
21 | 44 | 38 | 25 | 12 | 6 | 29 | 21540 | 21517 | 21523 | 21536 | 21549 | 21555 | 21532 | 609 | 632 | 626 | 613 | 600 | 594 | 617 | 21736 | 21713 | 21719 | 21732 | 21745 | 21751 | 21728 |
27 | 8 | 7 | 30 | 17 | 46 | 40 | 21534 | 21553 | 21554 | 21531 | 21544 | 21515 | 21521 | 615 | 596 | 595 | 618 | 605 | 634 | 628 | 21730 | 21749 | 21750 | 21727 | 21740 | 21711 | 21717 |
32 | 19 | 48 | 36 | 28 | 9 | 3 | 21529 | 21542 | 21513 | 21525 | 21533 | 21552 | 21558 | 620 | 607 | 636 | 624 | 616 | 597 | 591 | 21725 | 21738 | 21709 | 21721 | 21729 | 21748 | 21754 |
37 | 24 | 11 | 5 | 34 | 15 | 49 | 21524 | 21537 | 21550 | 21556 | 21527 | 21546 | 21512 | 625 | 612 | 599 | 593 | 622 | 603 | 637 | 21720 | 21733 | 21746 | 21752 | 21723 | 21742 | 21708 |
21903 | 21869 | 21888 | 21859 | 21865 | 21878 | 21891 | 442 | 476 | 457 | 486 | 480 | 467 | 454 | 21315 | 21281 | 21300 | 21271 | 21277 | 21290 | 21303 | 246 | 280 | 261 | 290 | 284 | 271 | 258 |
21857 | 21863 | 21882 | 21890 | 21902 | 21873 | 21886 | 488 | 482 | 463 | 455 | 443 | 472 | 459 | 21269 | 21275 | 21294 | 21302 | 21314 | 21285 | 21298 | 292 | 286 | 267 | 259 | 247 | 276 | 263 |
21894 | 21900 | 21871 | 21884 | 21861 | 21862 | 21881 | 451 | 445 | 474 | 461 | 484 | 483 | 464 | 21306 | 21312 | 21283 | 21296 | 21273 | 21274 | 21293 | 255 | 249 | 278 | 265 | 288 | 287 | 268 |
21883 | 21860 | 21866 | 21879 | 21892 | 21898 | 21875 | 462 | 485 | 479 | 466 | 453 | 447 | 470 | 21295 | 21272 | 21278 | 21291 | 21304 | 21310 | 21287 | 266 | 289 | 283 | 270 | 257 | 251 | 274 |
21877 | 21896 | 21897 | 21874 | 21887 | 21858 | 21864 | 468 | 449 | 448 | 471 | 458 | 487 | 481 | 21289 | 21308 | 21309 | 21286 | 21299 | 21270 | 21276 | 272 | 253 | 252 | 275 | 262 | 291 | 285 |
21872 | 21885 | 21856 | 21868 | 21876 | 21895 | 21901 | 473 | 460 | 489 | 477 | 469 | 450 | 444 | 21284 | 21297 | 21268 | 21280 | 21288 | 21307 | 21313 | 277 | 264 | 293 | 281 | 273 | 254 | 248 |
21867 | 21880 | 21893 | 21899 | 21870 | 21889 | 21855 | 478 | 465 | 452 | 446 | 475 | 456 | 490 | 21279 | 21292 | 21305 | 21311 | 21282 | 21301 | 21267 | 282 | 269 | 256 | 250 | 279 | 260 | 294 |
196 | 162 | 181 | 152 | 158 | 171 | 184 | 21365 | 21399 | 21380 | 21409 | 21403 | 21390 | 21377 | 784 | 750 | 769 | 740 | 746 | 759 | 772 | 21561 | 21595 | 21576 | 21605 | 21599 | 21586 | 21573 |
150 | 156 | 175 | 183 | 195 | 166 | 179 | 21411 | 21405 | 21386 | 21378 | 21366 | 21395 | 21382 | 738 | 744 | 763 | 771 | 783 | 754 | 767 | 21607 | 21601 | 21582 | 21574 | 21562 | 21591 | 21578 |
187 | 193 | 164 | 177 | 154 | 155 | 174 | 21374 | 21368 | 21397 | 21384 | 21407 | 21406 | 21387 | 775 | 781 | 752 | 765 | 742 | 743 | 762 | 21570 | 21564 | 21593 | 21580 | 21603 | 21602 | 21583 |
176 | 153 | 159 | 172 | 185 | 191 | 168 | 21385 | 21408 | 21402 | 21389 | 21376 | 21370 | 21393 | 764 | 741 | 747 | 760 | 773 | 779 | 756 | 21581 | 21604 | 21598 | 21585 | 21572 | 21566 | 21589 |
170 | 189 | 190 | 167 | 180 | 151 | 157 | 21391 | 21372 | 21371 | 21394 | 21381 | 21410 | 21404 | 758 | 777 | 778 | 755 | 768 | 739 | 745 | 21587 | 21568 | 21567 | 21590 | 21577 | 21606 | 21600 |
165 | 178 | 149 | 161 | 169 | 188 | 194 | 21396 | 21383 | 21412 | 21400 | 21392 | 21373 | 21367 | 753 | 766 | 737 | 749 | 757 | 776 | 782 | 21592 | 21579 | 21608 | 21596 | 21588 | 21569 | 21563 |
160 | 173 | 186 | 192 | 163 | 182 | 148 | 21401 | 21388 | 21375 | 21369 | 21398 | 21379 | 21413 | 748 | 761 | 774 | 780 | 751 | 770 | 736 | 21597 | 21584 | 21571 | 21565 | 21594 | 21575 | 21609 |
21806 | 21840 | 21821 | 21850 | 21844 | 21831 | 21818 | 539 | 505 | 524 | 495 | 501 | 514 | 527 | 21218 | 21252 | 21233 | 21262 | 21256 | 21243 | 21230 | 343 | 309 | 328 | 299 | 305 | 318 | 331 |
21852 | 21846 | 21827 | 21819 | 21807 | 21836 | 21823 | 493 | 499 | 518 | 526 | 538 | 509 | 522 | 21264 | 21258 | 21239 | 21231 | 21219 | 21248 | 21235 | 297 | 303 | 322 | 330 | 342 | 313 | 326 |
21815 | 21809 | 21838 | 21825 | 21848 | 21847 | 21828 | 530 | 536 | 507 | 520 | 497 | 498 | 517 | 21227 | 21221 | 21250 | 21237 | 21260 | 21259 | 21240 | 334 | 340 | 311 | 324 | 301 | 302 | 321 |
21826 | 21849 | 21843 | 21830 | 21817 | 21811 | 21834 | 519 | 496 | 502 | 515 | 528 | 534 | 511 | 21238 | 21261 | 21255 | 21242 | 21229 | 21223 | 21246 | 323 | 300 | 306 | 319 | 332 | 338 | 315 |
21832 | 21813 | 21812 | 21835 | 21822 | 21851 | 21845 | 513 | 532 | 533 | 510 | 523 | 494 | 500 | 21244 | 21225 | 21224 | 21247 | 21234 | 21263 | 21257 | 317 | 336 | 337 | 314 | 327 | 298 | 304 |
21837 | 21824 | 21853 | 21841 | 21833 | 21814 | 21808 | 508 | 521 | 492 | 504 | 512 | 531 | 537 | 21249 | 21236 | 21265 | 21253 | 21245 | 21226 | 21220 | 312 | 325 | 296 | 308 | 316 | 335 | 341 |
21842 | 21829 | 21816 | 21810 | 21839 | 21820 | 21854 | 503 | 516 | 529 | 535 | 506 | 525 | 491 | 21254 | 21241 | 21228 | 21222 | 21251 | 21232 | 21266 | 307 | 320 | 333 | 339 | 310 | 329 | 295 |
In onderstaande download heb ik het 2e patroon nog iets aangepast, waardoor de 28x28x28 pantriagonale kubus ook nog kloppend is voor de (hoofd)diagonalen in elke laag.
Met methode Samengesteld 1 (S1) kun je pantriagonaal magische kubussen maken voor orde is veelvoud van 4. Zie op deze website uitgewerkt voor:
12x12x12, 20x20x20, 24x24x24 en 28x28x28