René Chretien used the Medjig method to construct a pantriagonal 12x12x12 magic cube.
See below the result.
12 |
||||||||||||
1 |
1297 |
44 |
1340 |
1428 |
780 |
855 |
1503 |
1460 |
164 |
1399 |
103 |
|
1081 |
649 |
1124 |
692 |
1212 |
132 |
207 |
1287 |
812 |
1244 |
751 |
1183 |
|
1337 |
689 |
129 |
1425 |
7 |
1303 |
1463 |
167 |
1402 |
106 |
849 |
1497 |
|
1121 |
41 |
1209 |
777 |
1087 |
655 |
815 |
1247 |
754 |
1186 |
201 |
1281 |
|
135 |
1431 |
1300 |
652 |
38 |
1334 |
1396 |
100 |
852 |
1500 |
1466 |
170 |
|
1215 |
783 |
1084 |
4 |
1118 |
686 |
748 |
1180 |
204 |
1284 |
818 |
1250 |
|
1062 |
414 |
371 |
1667 |
337 |
1633 |
1540 |
244 |
1583 |
287 |
294 |
942 |
|
1710 |
630 |
1019 |
587 |
985 |
553 |
460 |
892 |
503 |
935 |
510 |
1590 |
|
374 |
1670 |
340 |
1636 |
1056 |
408 |
284 |
932 |
1587 |
291 |
1546 |
250 |
|
1022 |
590 |
988 |
556 |
1704 |
624 |
500 |
1580 |
507 |
939 |
466 |
898 |
|
334 |
1630 |
1059 |
411 |
377 |
1673 |
1593 |
297 |
247 |
895 |
1577 |
281 |
|
982 |
550 |
1707 |
627 |
1025 |
593 |
513 |
945 |
463 |
1543 |
497 |
929 |
|
11 |
||||||||||||
1513 |
217 |
1556 |
260 |
348 |
996 |
1071 |
423 |
380 |
1676 |
319 |
1615 |
|
433 |
865 |
476 |
908 |
564 |
1644 |
1719 |
639 |
1028 |
596 |
967 |
535 |
|
257 |
905 |
1641 |
345 |
1519 |
223 |
383 |
1679 |
322 |
1618 |
1065 |
417 |
|
473 |
1553 |
561 |
993 |
439 |
871 |
1031 |
599 |
970 |
538 |
1713 |
633 |
|
1647 |
351 |
220 |
868 |
1550 |
254 |
316 |
1612 |
1068 |
420 |
386 |
1682 |
|
567 |
999 |
436 |
1516 |
470 |
902 |
964 |
532 |
1716 |
636 |
1034 |
602 |
|
846 |
1494 |
1451 |
155 |
1417 |
121 |
28 |
1324 |
71 |
1367 |
1374 |
726 |
|
198 |
1278 |
803 |
1235 |
769 |
1201 |
1108 |
676 |
1151 |
719 |
1158 |
78 |
|
1454 |
158 |
1420 |
124 |
840 |
1488 |
1364 |
716 |
75 |
1371 |
34 |
1330 |
|
806 |
1238 |
772 |
1204 |
192 |
1272 |
1148 |
68 |
1155 |
723 |
1114 |
682 |
|
1414 |
118 |
843 |
1491 |
1457 |
161 |
81 |
1377 |
1327 |
679 |
65 |
1361 |
|
766 |
1198 |
195 |
1275 |
809 |
1241 |
1161 |
729 |
1111 |
31 |
1145 |
713 |
|
10 |
||||||||||||
42 |
1338 |
127 |
1423 |
1304 |
656 |
814 |
1462 |
1404 |
108 |
1496 |
200 |
|
1122 |
690 |
1207 |
775 |
1088 |
8 |
166 |
1246 |
756 |
1188 |
848 |
1280 |
|
1429 |
781 |
5 |
1301 |
39 |
1335 |
1398 |
102 |
1499 |
203 |
817 |
1465 |
|
1213 |
133 |
1085 |
653 |
1119 |
687 |
750 |
1182 |
851 |
1283 |
169 |
1249 |
|
2 |
1298 |
1341 |
693 |
130 |
1426 |
1502 |
206 |
811 |
1459 |
1401 |
105 |
|
1082 |
650 |
1125 |
45 |
1210 |
778 |
854 |
1286 |
163 |
1243 |
753 |
1185 |
|
1021 |
373 |
342 |
1638 |
407 |
1703 |
1581 |
285 |
1585 |
289 |
251 |
899 |
|
1669 |
589 |
990 |
558 |
1055 |
623 |
501 |
933 |
505 |
937 |
467 |
1547 |
|
336 |
1632 |
410 |
1706 |
1024 |
376 |
295 |
943 |
1544 |
248 |
1578 |
282 |
|
984 |
552 |
1058 |
626 |
1672 |
592 |
511 |
1591 |
464 |
896 |
498 |
930 |
|
413 |
1709 |
1018 |
370 |
339 |
1635 |
1541 |
245 |
288 |
936 |
1588 |
292 |
|
1061 |
629 |
1666 |
586 |
987 |
555 |
461 |
893 |
504 |
1584 |
508 |
940 |
|
9 |
||||||||||||
1554 |
258 |
1639 |
343 |
224 |
872 |
1030 |
382 |
324 |
1620 |
416 |
1712 |
|
474 |
906 |
559 |
991 |
440 |
1520 |
1678 |
598 |
972 |
540 |
1064 |
632 |
|
349 |
997 |
1517 |
221 |
1551 |
255 |
318 |
1614 |
419 |
1715 |
1033 |
385 |
|
565 |
1645 |
437 |
869 |
471 |
903 |
966 |
534 |
1067 |
635 |
1681 |
601 |
|
1514 |
218 |
261 |
909 |
1642 |
346 |
422 |
1718 |
1027 |
379 |
321 |
1617 |
|
434 |
866 |
477 |
1557 |
562 |
994 |
1070 |
638 |
1675 |
595 |
969 |
537 |
|
805 |
1453 |
1422 |
126 |
1487 |
191 |
69 |
1365 |
73 |
1369 |
1331 |
683 |
|
157 |
1237 |
774 |
1206 |
839 |
1271 |
1149 |
717 |
1153 |
721 |
1115 |
35 |
|
1416 |
120 |
1490 |
194 |
808 |
1456 |
1375 |
727 |
32 |
1328 |
66 |
1362 |
|
768 |
1200 |
842 |
1274 |
160 |
1240 |
1159 |
79 |
1112 |
680 |
1146 |
714 |
|
1493 |
197 |
802 |
1450 |
1419 |
123 |
29 |
1325 |
1368 |
720 |
76 |
1372 |
|
845 |
1277 |
154 |
1234 |
771 |
1203 |
1109 |
677 |
1152 |
72 |
1156 |
724 |
|
8 |
||||||||||||
134 |
1430 |
6 |
1302 |
1333 |
685 |
749 |
1397 |
1498 |
202 |
1467 |
171 |
|
1214 |
782 |
1086 |
654 |
1117 |
37 |
101 |
1181 |
850 |
1282 |
819 |
1251 |
|
1299 |
651 |
43 |
1339 |
131 |
1427 |
1501 |
205 |
1461 |
165 |
752 |
1400 |
|
1083 |
3 |
1123 |
691 |
1211 |
779 |
853 |
1285 |
813 |
1245 |
104 |
1184 |
|
40 |
1336 |
1424 |
776 |
9 |
1305 |
1464 |
168 |
755 |
1403 |
1495 |
199 |
|
1120 |
688 |
1208 |
128 |
1089 |
657 |
816 |
1248 |
107 |
1187 |
847 |
1279 |
|
983 |
335 |
409 |
1705 |
378 |
1674 |
1592 |
296 |
1545 |
249 |
280 |
928 |
|
1631 |
551 |
1057 |
625 |
1026 |
594 |
512 |
944 |
465 |
897 |
496 |
1576 |
|
412 |
1708 |
372 |
1668 |
986 |
338 |
246 |
894 |
1582 |
286 |
1589 |
293 |
|
1060 |
628 |
1020 |
588 |
1634 |
554 |
462 |
1542 |
502 |
934 |
509 |
941 |
|
375 |
1671 |
989 |
341 |
406 |
1702 |
1579 |
283 |
290 |
938 |
1548 |
252 |
|
1023 |
591 |
1637 |
557 |
1054 |
622 |
499 |
931 |
506 |
1586 |
468 |
900 |
|
7 |
||||||||||||
1646 |
350 |
1518 |
222 |
253 |
901 |
965 |
317 |
418 |
1714 |
387 |
1683 |
|
566 |
998 |
438 |
870 |
469 |
1549 |
1613 |
533 |
1066 |
634 |
1035 |
603 |
|
219 |
867 |
1555 |
259 |
1643 |
347 |
421 |
1717 |
381 |
1677 |
968 |
320 |
|
435 |
1515 |
475 |
907 |
563 |
995 |
1069 |
637 |
1029 |
597 |
1616 |
536 |
|
1552 |
256 |
344 |
992 |
1521 |
225 |
384 |
1680 |
971 |
323 |
415 |
1711 |
|
472 |
904 |
560 |
1640 |
441 |
873 |
1032 |
600 |
1619 |
539 |
1063 |
631 |
|
767 |
1415 |
1489 |
193 |
1458 |
162 |
80 |
1376 |
33 |
1329 |
1360 |
712 |
|
119 |
1199 |
841 |
1273 |
810 |
1242 |
1160 |
728 |
1113 |
681 |
1144 |
64 |
|
1492 |
196 |
1452 |
156 |
770 |
1418 |
1326 |
678 |
70 |
1366 |
77 |
1373 |
|
844 |
1276 |
804 |
1236 |
122 |
1202 |
1110 |
30 |
1150 |
718 |
1157 |
725 |
|
1455 |
159 |
773 |
1421 |
1486 |
190 |
67 |
1363 |
1370 |
722 |
36 |
1332 |
|
807 |
1239 |
125 |
1205 |
838 |
1270 |
1147 |
715 |
1154 |
74 |
1116 |
684 |
|
6 |
||||||||||||
189 |
1485 |
146 |
1442 |
1435 |
787 |
667 |
1315 |
1358 |
62 |
1392 |
96 |
|
1269 |
837 |
1226 |
794 |
1219 |
139 |
19 |
1099 |
710 |
1142 |
744 |
1176 |
|
1445 |
797 |
142 |
1438 |
183 |
1479 |
1355 |
59 |
1389 |
93 |
673 |
1321 |
|
1229 |
149 |
1222 |
790 |
1263 |
831 |
707 |
1139 |
741 |
1173 |
25 |
1105 |
|
136 |
1432 |
1482 |
834 |
152 |
1448 |
1395 |
99 |
670 |
1318 |
1352 |
56 |
|
1216 |
784 |
1266 |
186 |
1232 |
800 |
747 |
1179 |
22 |
1102 |
704 |
1136 |
|
874 |
226 |
269 |
1565 |
330 |
1626 |
1728 |
432 |
1685 |
389 |
301 |
949 |
|
1522 |
442 |
917 |
485 |
978 |
546 |
648 |
1080 |
605 |
1037 |
517 |
1597 |
|
266 |
1562 |
327 |
1623 |
880 |
232 |
392 |
1040 |
1600 |
304 |
1722 |
426 |
|
914 |
482 |
975 |
543 |
1528 |
448 |
608 |
1688 |
520 |
952 |
642 |
1074 |
|
333 |
1629 |
877 |
229 |
263 |
1559 |
1594 |
298 |
429 |
1077 |
1691 |
395 |
|
981 |
549 |
1525 |
445 |
911 |
479 |
514 |
946 |
645 |
1725 |
611 |
1043 |
|
5 |
||||||||||||
1701 |
405 |
1658 |
362 |
355 |
1003 |
883 |
235 |
278 |
1574 |
312 |
1608 |
|
621 |
1053 |
578 |
1010 |
571 |
1651 |
1531 |
451 |
926 |
494 |
960 |
528 |
|
365 |
1013 |
1654 |
358 |
1695 |
399 |
275 |
1571 |
309 |
1605 |
889 |
241 |
|
581 |
1661 |
574 |
1006 |
615 |
1047 |
923 |
491 |
957 |
525 |
1537 |
457 |
|
1648 |
352 |
402 |
1050 |
1664 |
368 |
315 |
1611 |
886 |
238 |
272 |
1568 |
|
568 |
1000 |
618 |
1698 |
584 |
1016 |
963 |
531 |
1534 |
454 |
920 |
488 |
|
658 |
1306 |
1349 |
53 |
1410 |
114 |
216 |
1512 |
173 |
1469 |
1381 |
733 |
|
10 |
1090 |
701 |
1133 |
762 |
1194 |
1296 |
864 |
1253 |
821 |
1165 |
85 |
|
1346 |
50 |
1407 |
111 |
664 |
1312 |
1472 |
824 |
88 |
1384 |
210 |
1506 |
|
698 |
1130 |
759 |
1191 |
16 |
1096 |
1256 |
176 |
1168 |
736 |
1290 |
858 |
|
1413 |
117 |
661 |
1309 |
1343 |
47 |
82 |
1378 |
1509 |
861 |
179 |
1475 |
|
765 |
1197 |
13 |
1093 |
695 |
1127 |
1162 |
730 |
1293 |
213 |
1259 |
827 |
|
4 |
||||||||||||
148 |
1444 |
144 |
1440 |
1478 |