Â
Take as first grid (in levels 1 up to 15) 500x 3x3x3 (simple) magic cube and (in level 16 up to 30) 500x its inverse. The second grid consists of a 3x3x3 'blown up' pantriagonal 10x10x10 magic cube. See below the grids and the result of level 1.
Â
Â
Take 1x number from 1st grid with 3x3x3 magic cube [level 1]
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 | 8 | 15 | 19 |
12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 | 12 | 25 | 5 |
22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 | 22 | 2 | 18 |
Â
Â
+ 27x (number -/- 1) from 2nd grid with 3x3x3 'blown up' pantriagonal 10x10x10 [level 1]
9 | 9 | 9 | 201 | 201 | 201 | 365 | 365 | 365 | 447 | 447 | 447 | 543 | 543 | 543 | 942 | 942 | 942 | 850 | 850 | 850 | 736 | 736 | 736 | 404 | 404 | 404 | 508 | 508 | 508 |
9 | 9 | 9 | 201 | 201 | 201 | 365 | 365 | 365 | 447 | 447 | 447 | 543 | 543 | 543 | 942 | 942 | 942 | 850 | 850 | 850 | 736 | 736 | 736 | 404 | 404 | 404 | 508 | 508 | 508 |
9 | 9 | 9 | 201 | 201 | 201 | 365 | 365 | 365 | 447 | 447 | 447 | 543 | 543 | 543 | 942 | 942 | 942 | 850 | 850 | 850 | 736 | 736 | 736 | 404 | 404 | 404 | 508 | 508 | 508 |
362 | 362 | 362 | 448 | 448 | 448 | 544 | 544 | 544 | 6 | 6 | 6 | 205 | 205 | 205 | 739 | 739 | 739 | 403 | 403 | 403 | 507 | 507 | 507 | 945 | 945 | 945 | 846 | 846 | 846 |
362 | 362 | 362 | 448 | 448 | 448 | 544 | 544 | 544 | 6 | 6 | 6 | 205 | 205 | 205 | 739 | 739 | 739 | 403 | 403 | 403 | 507 | 507 | 507 | 945 | 945 | 945 | 846 | 846 | 846 |
362 | 362 | 362 | 448 | 448 | 448 | 544 | 544 | 544 | 6 | 6 | 6 | 205 | 205 | 205 | 739 | 739 | 739 | 403 | 403 | 403 | 507 | 507 | 507 | 945 | 945 | 945 | 846 | 846 | 846 |
541 | 541 | 541 | 10 | 10 | 10 | 202 | 202 | 202 | 363 | 363 | 363 | 449 | 449 | 449 | 510 | 510 | 510 | 941 | 941 | 941 | 849 | 849 | 849 | 738 | 738 | 738 | 402 | 402 | 402 |
541 | 541 | 541 | 10 | 10 | 10 | 202 | 202 | 202 | 363 | 363 | 363 | 449 | 449 | 449 | 510 | 510 | 510 | 941 | 941 | 941 | 849 | 849 | 849 | 738 | 738 | 738 | 402 | 402 | 402 |
541 | 541 | 541 | 10 | 10 | 10 | 202 | 202 | 202 | 363 | 363 | 363 | 449 | 449 | 449 | 510 | 510 | 510 | 941 | 941 | 941 | 849 | 849 | 849 | 738 | 738 | 738 | 402 | 402 | 402 |
203 | 203 | 203 | 364 | 364 | 364 | 446 | 446 | 446 | 545 | 545 | 545 | 7 | 7 | 7 | 848 | 848 | 848 | 737 | 737 | 737 | 405 | 405 | 405 | 506 | 506 | 506 | 944 | 944 | 944 |
203 | 203 | 203 | 364 | 364 | 364 | 446 | 446 | 446 | 545 | 545 | 545 | 7 | 7 | 7 | 848 | 848 | 848 | 737 | 737 | 737 | 405 | 405 | 405 | 506 | 506 | 506 | 944 | 944 | 944 |
203 | 203 | 203 | 364 | 364 | 364 | 446 | 446 | 446 | 545 | 545 | 545 | 7 | 7 | 7 | 848 | 848 | 848 | 737 | 737 | 737 | 405 | 405 | 405 | 506 | 506 | 506 | 944 | 944 | 944 |
450 | 450 | 450 | 542 | 542 | 542 | 8 | 8 | 8 | 204 | 204 | 204 | 361 | 361 | 361 | 401 | 401 | 401 | 509 | 509 | 509 | 943 | 943 | 943 | 847 | 847 | 847 | 740 | 740 | 740 |
450 | 450 | 450 | 542 | 542 | 542 | 8 | 8 | 8 | 204 | 204 | 204 | 361 | 361 | 361 | 401 | 401 | 401 | 509 | 509 | 509 | 943 | 943 | 943 | 847 | 847 | 847 | 740 | 740 | 740 |
450 | 450 | 450 | 542 | 542 | 542 | 8 | 8 | 8 | 204 | 204 | 204 | 361 | 361 | 361 | 401 | 401 | 401 | 509 | 509 | 509 | 943 | 943 | 943 | 847 | 847 | 847 | 740 | 740 | 740 |
967 | 967 | 967 | 125 | 125 | 125 | 861 | 861 | 861 | 804 | 804 | 804 | 683 | 683 | 683 | 84 | 84 | 84 | 226 | 226 | 226 | 290 | 290 | 290 | 347 | 347 | 347 | 618 | 618 | 618 |
967 | 967 | 967 | 125 | 125 | 125 | 861 | 861 | 861 | 804 | 804 | 804 | 683 | 683 | 683 | 84 | 84 | 84 | 226 | 226 | 226 | 290 | 290 | 290 | 347 | 347 | 347 | 618 | 618 | 618 |
967 | 967 | 967 | 125 | 125 | 125 | 861 | 861 | 861 | 804 | 804 | 804 | 683 | 683 | 683 | 84 | 84 | 84 | 226 | 226 | 226 | 290 | 290 | 290 | 347 | 347 | 347 | 618 | 618 | 618 |
864 | 864 | 864 | 803 | 803 | 803 | 682 | 682 | 682 | 970 | 970 | 970 | 121 | 121 | 121 | 287 | 287 | 287 | 348 | 348 | 348 | 619 | 619 | 619 | 81 | 81 | 81 | 230 | 230 | 230 |
864 | 864 | 864 | 803 | 803 | 803 | 682 | 682 | 682 | 970 | 970 | 970 | 121 | 121 | 121 | 287 | 287 | 287 | 348 | 348 | 348 | 619 | 619 | 619 | 81 | 81 | 81 | 230 | 230 | 230 |
864 | 864 | 864 | 803 | 803 | 803 | 682 | 682 | 682 | 970 | 970 | 970 | 121 | 121 | 121 | 287 | 287 | 287 | 348 | 348 | 348 | 619 | 619 | 619 | 81 | 81 | 81 | 230 | 230 | 230 |
685 | 685 | 685 | 966 | 966 | 966 | 124 | 124 | 124 | 863 | 863 | 863 | 802 | 802 | 802 | 616 | 616 | 616 | 85 | 85 | 85 | 227 | 227 | 227 | 288 | 288 | 288 | 349 | 349 | 349 |
685 | 685 | 685 | 966 | 966 | 966 | 124 | 124 | 124 | 863 | 863 | 863 | 802 | 802 | 802 | 616 | 616 | 616 | 85 | 85 | 85 | 227 | 227 | 227 | 288 | 288 | 288 | 349 | 349 | 349 |
685 | 685 | 685 | 966 | 966 | 966 | 124 | 124 | 124 | 863 | 863 | 863 | 802 | 802 | 802 | 616 | 616 | 616 | 85 | 85 | 85 | 227 | 227 | 227 | 288 | 288 | 288 | 349 | 349 | 349 |
123 | 123 | 123 | 862 | 862 | 862 | 805 | 805 | 805 | 681 | 681 | 681 | 969 | 969 | 969 | 228 | 228 | 228 | 289 | 289 | 289 | 346 | 346 | 346 | 620 | 620 | 620 | 82 | 82 | 82 |
123 | 123 | 123 | 862 | 862 | 862 | 805 | 805 | 805 | 681 | 681 | 681 | 969 | 969 | 969 | 228 | 228 | 228 | 289 | 289 | 289 | 346 | 346 | 346 | 620 | 620 | 620 | 82 | 82 | 82 |
123 | 123 | 123 | 862 | 862 | 862 | 805 | 805 | 805 | 681 | 681 | 681 | 969 | 969 | 969 | 228 | 228 | 228 | 289 | 289 | 289 | 346 | 346 | 346 | 620 | 620 | 620 | 82 | 82 | 82 |
801 | 801 | 801 | 684 | 684 | 684 | 968 | 968 | 968 | 122 | 122 | 122 | 865 | 865 | 865 | 350 | 350 | 350 | 617 | 617 | 617 | 83 | 83 | 83 | 229 | 229 | 229 | 286 | 286 | 286 |
801 | 801 | 801 | 684 | 684 | 684 | 968 | 968 | 968 | 122 | 122 | 122 | 865 | 865 | 865 | 350 | 350 | 350 | 617 | 617 | 617 | 83 | 83 | 83 | 229 | 229 | 229 | 286 | 286 | 286 |
801 | 801 | 801 | 684 | 684 | 684 | 968 | 968 | 968 | 122 | 122 | 122 | 865 | 865 | 865 | 350 | 350 | 350 | 617 | 617 | 617 | 83 | 83 | 83 | 229 | 229 | 229 | 286 | 286 | 286 |
Â
Â
= 30x30x30 pantriagonal magic cube [level 1]
224 | 231 | 235 | 5408 | 5415 | 5419 | 9836 | 9843 | 9847 | 12050 | 12057 | 12061 | 14642 | 14649 | 14653 | 25415 | 25422 | 25426 | 22931 | 22938 | 22942 | 19853 | 19860 | 19864 | 10889 | 10896 | 10900 | 13697 | 13704 | 13708 |
228 | 241 | 221 | 5412 | 5425 | 5405 | 9840 | 9853 | 9833 | 12054 | 12067 | 12047 | 14646 | 14659 | 14639 | 25419 | 25432 | 25412 | 22935 | 22948 | 22928 | 19857 | 19870 | 19850 | 10893 | 10906 | 10886 | 13701 | 13714 | 13694 |
238 | 218 | 234 | 5422 | 5402 | 5418 | 9850 | 9830 | 9846 | 12064 | 12044 | 12060 | 14656 | 14636 | 14652 | 25429 | 25409 | 25425 | 22945 | 22925 | 22941 | 19867 | 19847 | 19863 | 10903 | 10883 | 10899 | 13711 | 13691 | 13707 |
9755 | 9762 | 9766 | 12077 | 12084 | 12088 | 14669 | 14676 | 14680 | 143 | 150 | 154 | 5516 | 5523 | 5527 | 19934 | 19941 | 19945 | 10862 | 10869 | 10873 | 13670 | 13677 | 13681 | 25496 | 25503 | 25507 | 22823 | 22830 | 22834 |
9759 | 9772 | 9752 | 12081 | 12094 | 12074 | 14673 | 14686 | 14666 | 147 | 160 | 140 | 5520 | 5533 | 5513 | 19938 | 19951 | 19931 | 10866 | 10879 | 10859 | 13674 | 13687 | 13667 | 25500 | 25513 | 25493 | 22827 | 22840 | 22820 |
9769 | 9749 | 9765 | 12091 | 12071 | 12087 | 14683 | 14663 | 14679 | 157 | 137 | 153 | 5530 | 5510 | 5526 | 19948 | 19928 | 19944 | 10876 | 10856 | 10872 | 13684 | 13664 | 13680 | 25510 | 25490 | 25506 | 22837 | 22817 | 22833 |
14588 | 14595 | 14599 | 251 | 258 | 262 | 5435 | 5442 | 5446 | 9782 | 9789 | 9793 | 12104 | 12111 | 12115 | 13751 | 13758 | 13762 | 25388 | 25395 | 25399 | 22904 | 22911 | 22915 | 19907 | 19914 | 19918 | 10835 | 10842 | 10846 |
14592 | 14605 | 14585 | 255 | 268 | 248 | 5439 | 5452 | 5432 | 9786 | 9799 | 9779 | 12108 | 12121 | 12101 | 13755 | 13768 | 13748 | 25392 | 25405 | 25385 | 22908 | 22921 | 22901 | 19911 | 19924 | 19904 | 10839 | 10852 | 10832 |
14602 | 14582 | 14598 | 265 | 245 | 261 | 5449 | 5429 | 5445 | 9796 | 9776 | 9792 | 12118 | 12098 | 12114 | 13765 | 13745 | 13761 | 25402 | 25382 | 25398 | 22918 | 22898 | 22914 | 19921 | 19901 | 19917 | 10849 | 10829 | 10845 |
5462 | 5469 | 5473 | 9809 | 9816 | 9820 | 12023 | 12030 | 12034 | 14696 | 14703 | 14707 | 170 | 177 | 181 | 22877 | 22884 | 22888 | 19880 | 19887 | 19891 | 10916 | 10923 | 10927 | 13643 | 13650 | 13654 | 25469 | 25476 | 25480 |
5466 | 5479 | 5459 | 9813 | 9826 | 9806 | 12027 | 12040 | 12020 | 14700 | 14713 | 14693 | 174 | 187 | 167 | 22881 | 22894 | 22874 | 19884 | 19897 | 19877 | 10920 | 10933 | 10913 | 13647 | 13660 | 13640 | 25473 | 25486 | 25466 |
5476 | 5456 | 5472 | 9823 | 9803 | 9819 | 12037 | 12017 | 12033 | 14710 | 14690 | 14706 | 184 | 164 | 180 | 22891 | 22871 | 22887 | 19894 | 19874 | 19890 | 10930 | 10910 | 10926 | 13657 | 13637 | 13653 | 25483 | 25463 | 25479 |
12131 | 12138 | 12142 | 14615 | 14622 | 14626 | 197 | 204 | 208 | 5489 | 5496 | 5500 | 9728 | 9735 | 9739 | 10808 | 10815 | 10819 | 13724 | 13731 | 13735 | 25442 | 25449 | 25453 | 22850 | 22857 | 22861 | 19961 | 19968 | 19972 |
12135 | 12148 | 12128 | 14619 | 14632 | 14612 | 201 | 214 | 194 | 5493 | 5506 | 5486 | 9732 | 9745 | 9725 | 10812 | 10825 | 10805 | 13728 | 13741 | 13721 | 25446 | 25459 | 25439 | 22854 | 22867 | 22847 | 19965 | 19978 | 19958 |
12145 | 12125 | 12141 | 14629 | 14609 | 14625 | 211 | 191 | 207 | 5503 | 5483 | 5499 | 9742 | 9722 | 9738 | 10822 | 10802 | 10818 | 13738 | 13718 | 13734 | 25456 | 25436 | 25452 | 22864 | 22844 | 22860 | 19975 | 19955 | 19971 |
26090 | 26097 | 26101 | 3356 | 3363 | 3367 | 23228 | 23235 | 23239 | 21689 | 21696 | 21700 | 18422 | 18429 | 18433 | 2249 | 2256 | 2260 | 6083 | 6090 | 6094 | 7811 | 7818 | 7822 | 9350 | 9357 | 9361 | 16667 | 16674 | 16678 |
26094 | 26107 | 26087 | 3360 | 3373 | 3353 | 23232 | 23245 | 23225 | 21693 | 21706 | 21686 | 18426 | 18439 | 18419 | 2253 | 2266 | 2246 | 6087 | 6100 | 6080 | 7815 | 7828 | 7808 | 9354 |