See how René Chrétien used the Medjig method 3D to produce a 26x26x26 pantriagonal magic cube.
Take 1x number from he first grid consisting of a 2x2x2 'blown up' 13x13x13 magic cube and add 13x13x13x number from the same cell of the second grid with 2x2x2 Medjig blocks to get a 26x26x26 pantriagonal magic cube.
1x number from first grid with 2x2x2 'blown up' 13x13x13 magic cube [level 1]
1 |
1 |
2196 |
2196 |
2012 |
2012 |
1828 |
1828 |
1644 |
1644 |
1460 |
1460 |
1276 |
1276 |
1105 |
1105 |
921 |
921 |
737 |
737 |
553 |
553 |
369 |
369 |
185 |
185 |
1 |
1 |
2196 |
2196 |
2012 |
2012 |
1828 |
1828 |
1644 |
1644 |
1460 |
1460 |
1276 |
1276 |
1105 |
1105 |
921 |
921 |
737 |
737 |
553 |
553 |
369 |
369 |
185 |
185 |
1916 |
1916 |
1732 |
1732 |
1548 |
1548 |
1377 |
1377 |
1193 |
1193 |
1178 |
1178 |
994 |
994 |
810 |
810 |
626 |
626 |
455 |
455 |
271 |
271 |
87 |
87 |
2100 |
2100 |
1916 |
1916 |
1732 |
1732 |
1548 |
1548 |
1377 |
1377 |
1193 |
1193 |
1178 |
1178 |
994 |
994 |
810 |
810 |
626 |
626 |
455 |
455 |
271 |
271 |
87 |
87 |
2100 |
2100 |
1634 |
1634 |
1450 |
1450 |
1266 |
1266 |
1082 |
1082 |
898 |
898 |
727 |
727 |
543 |
543 |
359 |
359 |
175 |
175 |
160 |
160 |
2173 |
2173 |
2002 |
2002 |
1818 |
1818 |
1634 |
1634 |
1450 |
1450 |
1266 |
1266 |
1082 |
1082 |
898 |
898 |
727 |
727 |
543 |
543 |
359 |
359 |
175 |
175 |
160 |
160 |
2173 |
2173 |
2002 |
2002 |
1818 |
1818 |
1352 |
1352 |
1168 |
1168 |
984 |
984 |
800 |
800 |
616 |
616 |
432 |
432 |
248 |
248 |
77 |
77 |
2090 |
2090 |
1906 |
1906 |
1722 |
1722 |
1538 |
1538 |
1354 |
1354 |
1352 |
1352 |
1168 |
1168 |
984 |
984 |
800 |
800 |
616 |
616 |
432 |
432 |
248 |
248 |
77 |
77 |
2090 |
2090 |
1906 |
1906 |
1722 |
1722 |
1538 |
1538 |
1354 |
1354 |
888 |
888 |
704 |
704 |
533 |
533 |
349 |
349 |
334 |
334 |
150 |
150 |
2163 |
2163 |
1979 |
1979 |
1795 |
1795 |
1624 |
1624 |
1440 |
1440 |
1256 |
1256 |
1072 |
1072 |
888 |
888 |
704 |
704 |
533 |
533 |
349 |
349 |
334 |
334 |
150 |
150 |
2163 |
2163 |
1979 |
1979 |
1795 |
1795 |
1624 |
1624 |
1440 |
1440 |
1256 |
1256 |
1072 |
1072 |
606 |
606 |
422 |
422 |
238 |
238 |
54 |
54 |
2080 |
2080 |
1896 |
1896 |
1712 |
1712 |
1528 |
1528 |
1513 |
1513 |
1329 |
1329 |
1145 |
1145 |
974 |
974 |
790 |
790 |
606 |
606 |
422 |
422 |
238 |
238 |
54 |
54 |
2080 |
2080 |
1896 |
1896 |
1712 |
1712 |
1528 |
1528 |
1513 |
1513 |
1329 |
1329 |
1145 |
1145 |
974 |
974 |
790 |
790 |
324 |
324 |
140 |
140 |
2153 |
2153 |
1969 |
1969 |
1785 |
1785 |
1601 |
1601 |
1430 |
1430 |
1246 |
1246 |
1062 |
1062 |
878 |
878 |
694 |
694 |
510 |
510 |
495 |
495 |
324 |
324 |
140 |
140 |
2153 |
2153 |
1969 |
1969 |
1785 |
1785 |
1601 |
1601 |
1430 |
1430 |
1246 |
1246 |
1062 |
1062 |
878 |
878 |
694 |
694 |
510 |
510 |
495 |
495 |
2057 |
2057 |
1873 |
1873 |
1702 |
1702 |
1687 |
1687 |
1503 |
1503 |
1319 |
1319 |
1135 |
1135 |
951 |
951 |
780 |
780 |
596 |
596 |
412 |
412 |
228 |
228 |
44 |
44 |
2057 |
2057 |
1873 |
1873 |
1702 |
1702 |
1687 |
1687 |
1503 |
1503 |
1319 |
1319 |
1135 |
1135 |
951 |
951 |
780 |
780 |
596 |
596 |
412 |
412 |
228 |
228 |
44 |
44 |
1775 |
1775 |
1591 |
1591 |
1407 |
1407 |
1223 |
1223 |
1052 |
1052 |
868 |
868 |
684 |
684 |
669 |
669 |
485 |
485 |
301 |
301 |
130 |
130 |
2143 |
2143 |
1959 |
1959 |
1775 |
1775 |
1591 |
1591 |
1407 |
1407 |
1223 |
1223 |
1052 |
1052 |
868 |
868 |
684 |
684 |
669 |
669 |
485 |
485 |
301 |
301 |
130 |
130 |
2143 |
2143 |
1959 |
1959 |
1493 |
1493 |
1309 |
1309 |
1125 |
1125 |
941 |
941 |
757 |
757 |
573 |
573 |
402 |
402 |
218 |
218 |
34 |
34 |
2047 |
2047 |
1863 |
1863 |
1848 |
1848 |
1677 |
1677 |
1493 |
1493 |
1309 |
1309 |
1125 |
1125 |
941 |
941 |
757 |
757 |
573 |
573 |
402 |
402 |
218 |
218 |
34 |
34 |
2047 |
2047 |
1863 |
1863 |
1848 |
1848 |
1677 |
1677 |
1029 |
1029 |
858 |
858 |
843 |
843 |
659 |
659 |
475 |
475 |
291 |
291 |
107 |
107 |
2120 |
2120 |
1949 |
1949 |
1765 |
1765 |
1581 |
1581 |
1397 |
1397 |
1213 |
1213 |
1029 |
1029 |
858 |
858 |
843 |
843 |
659 |
659 |
475 |
475 |
291 |
291 |
107 |
107 |
2120 |
2120 |
1949 |
1949 |
1765 |
1765 |
1581 |
1581 |
1397 |
1397 |
1213 |
1213 |
747 |
747 |
563 |
563 |
379 |
379 |
208 |
208 |
24 |
24 |
2037 |
2037 |
2022 |
2022 |
1838 |
1838 |
1654 |
1654 |
1470 |
1470 |
1299 |
1299 |
1115 |
1115 |
931 |
931 |
747 |
747 |
563 |
563 |
379 |
379 |
208 |
208 |
24 |
24 |
2037 |
2037 |
2022 |
2022 |
1838 |
1838 |
1654 |
1654 |
1470 |
1470 |
1299 |
1299 |
1115 |
1115 |
931 |
931 |
465 |
465 |
281 |
281 |
97 |
97 |
2110 |
2110 |
1926 |
1926 |
1755 |
1755 |
1571 |
1571 |
1387 |
1387 |
1203 |
1203 |
1019 |
1019 |
1004 |
1004 |
820 |
820 |
649 |
649 |
465 |
465 |
281 |
281 |
97 |
97 |
2110 |
2110 |
1926 |
1926 |
1755 |
1755 |
1571 |
1571 |
1387 |
1387 |
1203 |
1203 |
1019 |
1019 |
1004 |
1004 |
820 |
820 |
649 |
649 |
+13x13x13x number from second grid with 2x2x2 Medjig blocks [level 1]
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
5 |
5 |
6 |
3 |
0 |
0 |
5 |
0 |
5 |
5 |
3 |
5 |
0 |
3 |
6 |
6 |
0 |
3 |
0 |
6 |
5 |
0 |
6 |
3 |
5 |
0 |
3 |
0 |
3 |
6 |
5 |
6 |
3 |
6 |
3 |
6 |
0 |
3 |
6 |
5 |
0 |
3 |
5 |
5 |
6 |
3 |
0 |
3 |
5 |
0 |
6 |
= 26x26x26 pantriagonal magic cube [level 1]
6592 |
1 |
15378 |
13181 |
2012 |
15194 |
8419 |
12813 |
14826 |
12629 |
12445 |
14642 |
7867 |
1276 |
1105 |
12090 |
921 |
11906 |
11722 |
7328 |
11538 |
553 |
6960 |
13551 |
13367 |
185 |
10986 |
13183 |
8787 |
2196 |
8603 |
12997 |
1828 |
15010 |
1644 |
8235 |
1460 |
8051 |
14458 |
12261 |
14287 |
7696 |
14103 |
7512 |
13919 |
737 |
7144 |
13735 |
11354 |
369 |
6776 |
11170 |
12901 |
8507 |
12717 |
1732 |
8139 |
14730 |
14559 |
1377 |
7784 |
1193 |
14360 |
12163 |
994 |
14176 |
7401 |
11795 |
13808 |
11611 |
11440 |
13637 |
6862 |
271 |
87 |
11072 |
2100 |
13085 |
15098 |
1916 |
8323 |
14914 |
12533 |
1548 |
7968 |
12362 |
12178 |
14375 |
7769 |
1178 |
7585 |
11979 |
810 |
13992 |
626 |
7217 |
455 |
7046 |
13453 |
11256 |
13269 |
6678 |
15282 |
8691 |
12619 |
14816 |
8041 |
1450 |
1266 |
12251 |
1082 |
12067 |
11883 |
7489 |
11712 |
727 |
7134 |
13725 |
13541 |
359 |
6766 |
175 |
13342 |
11145 |
2173 |
15355 |
8593 |
12987 |
15000 |
12803 |
1634 |
8225 |
14632 |
12435 |
14448 |
7857 |
14264 |
7673 |
14080 |
898 |
7318 |
13909 |
11528 |
543 |
6950 |
11344 |
11160 |
13357 |
6751 |
160 |
8764 |
13158 |
2002 |
15184 |
1818 |
8409 |
14534 |
12337 |
1168 |
14350 |
7575 |
11969 |
13982 |
11785 |
11601 |
13798 |
7023 |
432 |
248 |
11233 |
77 |
11062 |
13075 |
8681 |
12891 |
1906 |
8313 |
14904 |
14720 |
1538 |
7945 |
1354 |
7943 |
1352 |
7759 |
12153 |
984 |
14166 |
800 |
7391 |
616 |
7207 |
13614 |
11417 |
13430 |
6839 |
13259 |
6668 |
15272 |
2090 |
8497 |
15088 |
12707 |
1722 |
8129 |
12523 |
12339 |
14536 |
11873 |
888 |
7295 |
13886 |
13715 |
533 |
6940 |
349 |
13516 |
11319 |
150 |
13332 |
8754 |
13148 |
15161 |
12964 |
12780 |
14977 |
8215 |
1624 |
1440 |
12425 |
1256 |
12241 |
12057 |
7663 |
7479 |
14070 |
11689 |
704 |
7124 |
11518 |
11334 |
13531 |
6925 |
334 |
6741 |
11135 |
2163 |
15345 |
1979 |
8570 |
1795 |
8386 |
14806 |
12609 |
14622 |
8031 |
14438 |
7847 |
14254 |
1072 |
7197 |
606 |
422 |
11407 |
238 |
11223 |
11039 |
6645 |
13065 |
2080 |
8487 |
15078 |
14894 |
1712 |
8119 |
1528 |
14695 |
12498 |
1329 |
14511 |
7736 |
12130 |
14156 |
11959 |
11775 |
13972 |
13788 |
11591 |
13604 |
7013 |
13420 |
6829 |
13236 |
54 |
8671 |
15262 |
12881 |
1896 |
8303 |
12697 |
12513 |
14710 |
8104 |
1513 |
7920 |
12314 |
1145 |
14327 |
974 |
7565 |
790 |
7381 |
324 |
13506 |
6731 |
11125 |
15335 |
13138 |
12954 |
15151 |
8376 |
1785 |
1601 |
12586 |
1430 |
12415 |
12231 |
7837 |
12047 |
1062 |
7469 |
14060 |
13876 |
694 |
7101 |
510 |
13677 |
11480 |
6915 |
11309 |
140 |
13322 |
2153 |
8744 |
1969 |
8560 |
14967 |
12770 |
14783 |
8192 |
14612 |
8021 |
14428 |
1246 |
7653 |
14244 |
11863 |
878 |
7285 |
11679 |
11495 |
13692 |
7086 |
495 |
8648 |
15239 |
15055 |
1873 |
8293 |
1702 |
14869 |
12672 |
1503 |
14685 |
7910 |
12304 |
14317 |
12120 |
11936 |
14133 |
7371 |
780 |
596 |
11581 |
412 |
11397 |
11213 |
6819 |
11029 |
44 |
13042 |
2057 |
8464 |
12858 |
12687 |
14884 |
8278 |
1687 |
8094 |
12488 |
1319 |
14501 |
1135 |
7726 |
951 |
7542 |
13962 |
11765 |
13778 |
7187 |
13594 |
7003 |
13410 |
228 |
6635 |
13226 |
1775 |
12760 |
1591 |
12576 |
12392 |
7998 |
12208 |
1223 |
7643 |
14234 |
14050 |
868 |
7275 |
684 |
13851 |
11654 |
485 |
13667 |
6892 |
11286 |
13312 |
11115 |
13128 |
15325 |
8550 |
1959 |
14957 |
8366 |
14773 |
8182 |
14589 |
1407 |
7814 |
14405 |
12037 |
1052 |
7459 |
11853 |
11669 |
13866 |
7260 |
669 |
7076 |
11470 |
301 |
13483 |
130 |
6721 |
2143 |
8734 |
15141 |
12944 |
8084 |
12478 |
14491 |
12294 |
12110 |
14307 |
7532 |
941 |
757 |
11742 |
573 |
11558 |
11387 |
6993 |
11203 |
218 |
6625 |
13216 |
15229 |
2047 |
8454 |
1863 |
15030 |
12833 |
1677 |
14859 |
1493 |
14675 |
1309 |
7900 |
1125 |
7716 |
14123 |
11926 |
13939 |
7348 |
13755 |
7164 |
13584 |
402 |
6809 |
13400 |
11019 |
34 |
8638 |
13032 |
12848 |
15045 |
8439 |
1848 |
8268 |
12662 |
14211 |
1029 |
7449 |
858 |
14025 |
11828 |
659 |
13841 |
7066 |
11460 |
13473 |
11276 |
11092 |
13289 |
8711 |
2120 |
1949 |
12934 |
1765 |
12750 |
12566 |
8172 |
12382 |
1397 |
7804 |
14395 |
7620 |
12014 |
11843 |
14040 |
7434 |
843 |
7250 |
11644 |
475 |
13657 |
291 |
6882 |
107 |
6698 |
15302 |
13105 |
15131 |
8540 |
14947 |
8356 |
14763 |
1581 |
7988 |
14579 |
12198 |
1213 |
747 |
11732 |
11548 |
7154 |
11364 |
379 |
6799 |
13390 |
13206 |
24 |
8628 |
2037 |
15204 |
13007 |
1838 |
15020 |
8245 |
12639 |
14652 |
12455 |
12284 |
14481 |
7706 |
1115 |
931 |
11916 |
13929 |
7338 |
13745 |
563 |
6970 |
13561 |
11193 |
208 |
6615 |
11009 |
13022 |
15219 |
8613 |
2022 |
8429 |
12823 |
1654 |
14836 |
1470 |
8061 |
1299 |
7890 |
14297 |
12100 |
14113 |
7522 |
13647 |
11450 |
11266 |
13463 |
6688 |
97 |
2110 |
13095 |
1926 |
12911 |
12740 |
8346 |
12556 |
1571 |
7978 |
14569 |
14385 |
1203 |
7610 |
1019 |
14186 |
11989 |
820 |
14002 |
7240 |
11634 |
465 |
7056 |
281 |
6872 |
13279 |
11082 |
15292 |
8701 |
15108 |
8517 |
14937 |
1755 |
8162 |
14753 |
12372 |
1387 |
7794 |
12188 |
12004 |
14201 |
7595 |
1004 |
7411 |
11805 |
649 |
13831 |
For all levels and check, see download below.
With method of Medjig you can construct a magic cube of even order. See on this website the construction of:
6x6x6 (simple), 8x8x8 (pantriagonal), 10x10x10 (simple), 10x10x10 (pantriagonal), 12x12x12 (pantriagonal), 14x14x14 (pantriagonal), 16x16x16 (Nasik), 20x20x20 (pantriagonal), 22x22x22 (pantriagonal), 24x24x24 (diagonal), 24x24x24 (pantriagonal), 26x26x26 (pantriagonal), 28x28x28 (pantriagonal) and 32x32x32 (Nasik)