### Diagonal 24x24x24 magic cube (Medjig method 3D)

See for explanation about the Medjig method to construct a magic square: 6x6 magic square.

Construct a diagonal 24x24x24 magic cube by using to grids. The first grid consists of the 2x2x2 'blown up' diagonal 12x12x12 magic cube. The second grid does not consist of the 2x2 Mejig tiles with the numbers 0 up to 3, but consists of the 2x2x2 Medjig blocks with the numbers 0 up to 7. See below the grids and result of level 1.

Take 1x number from first grid with 2x2x2 'blown up' diagonal 12x12x12 [level 1]

 109 109 1655 1655 76 76 1635 1635 88 88 1624 1624 757 757 1007 1007 724 724 987 987 736 736 976 976 109 109 1655 1655 76 76 1635 1635 88 88 1624 1624 757 757 1007 1007 724 724 987 987 736 736 976 976 1599 1599 156 156 1561 1561 170 170 1575 1575 126 126 951 951 804 804 913 913 818 818 927 927 774 774 1599 1599 156 156 1561 1561 170 170 1575 1575 126 126 951 951 804 804 913 913 818 818 927 927 774 774 140 140 1686 1686 52 52 1662 1662 53 53 1594 1594 788 788 1038 1038 700 700 1014 1014 701 701 946 946 140 140 1686 1686 52 52 1662 1662 53 53 1594 1594 788 788 1038 1038 700 700 1014 1014 701 701 946 946 1587 1587 1578 1578 182 182 1563 1563 139 139 138 138 939 939 930 930 830 830 915 915 787 787 786 786 1587 1587 1578 1578 182 182 1563 1563 139 139 138 138 939 939 930 930 830 830 915 915 787 787 786 786 1648 1648 40 40 1660 1660 65 65 1688 1688 86 86 1000 1000 688 688 1012 1012 713 713 1040 1040 734 734 1648 1648 40 40 1660 1660 65 65 1688 1688 86 86 1000 1000 688 688 1012 1012 713 713 1040 1040 734 734 104 104 72 72 1656 1656 92 92 1644 1644 1619 1619 752 752 720 720 1008 1008 740 740 996 996 971 971 104 104 72 72 1656 1656 92 92 1644 1644 1619 1619 752 752 720 720 1008 1008 740 740 996 996 971 971 1189 1189 575 575 1156 1156 555 555 1168 1168 544 544 1405 1405 359 359 1372 1372 339 339 1384 1384 328 328 1189 1189 575 575 1156 1156 555 555 1168 1168 544 544 1405 1405 359 359 1372 1372 339 339 1384 1384 328 328 519 519 1236 1236 481 481 1250 1250 495 495 1206 1206 303 303 1452 1452 265 265 1466 1466 279 279 1422 1422 519 519 1236 1236 481 481 1250 1250 495 495 1206 1206 303 303 1452 1452 265 265 1466 1466 279 279 1422 1422 1220 1220 606 606 1132 1132 582 582 1133 1133 514 514 1436 1436 390 390 1348 1348 366 366 1349 1349 298 298 1220 1220 606 606 1132 1132 582 582 1133 1133 514 514 1436 1436 390 390 1348 1348 366 366 1349 1349 298 298 507 507 498 498 1262 1262 483 483 1219 1219 1218 1218 291 291 282 282 1478 1478 267 267 1435 1435 1434 1434 507 507 498 498 1262 1262 483 483 1219 1219 1218 1218 291 291 282 282 1478 1478 267 267 1435 1435 1434 1434 568 568 1120 1120 580 580 1145 1145 608 608 1166 1166 352 352 1336 1336 364 364 1361 1361 392 392 1382 1382 568 568 1120 1120 580 580 1145 1145 608 608 1166 1166 352 352 1336 1336 364 364 1361 1361 392 392 1382 1382 1184 1184 1152 1152 576 576 1172 1172 564 564 539 539 1400 1400 1368 1368 360 360 1388 1388 348 348 323 323 1184 1184 1152 1152 576 576 1172 1172 564 564 539 539 1400 1400 1368 1368 360 360 1388 1388 348 348 323 323

+ 1.728x number from second grid with 2x2x2 Medjig blocks [level 1]

 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 4 2 7 1 3 5 0 6 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5 7 1 4 2 0 6 3 5

= 24x24x24 diagonal magic cube [level 1]

 109 10477 6839 10295 12172 1804 8547 5091 88 10456 6808 10264 12853 2485 7919 4463 724 11092 6171 9627 12832 2464 7888 4432 5293 8749 1655 12023 6988 3532 13731 3363 5272 8728 1624 11992 7669 4213 13103 2735 5908 9364 987 11355 7648 4192 13072 2704 8511 5055 12252 1884 6745 10201 170 10538 8487 5031 12222 1854 6135 9591 804 11172 7825 4369 12914 2546 6111 9567 774 11142 13695 3327 7068 3612 1561 11929 5354 8810 13671 3303 7038 3582 951 11319 5988 9444 13009 2641 7730 4274 927 11295 5958 9414 140 10508 6870 10326 12148 1780 8574 5118 53 10421 6778 10234 12884 2516 7950 4494 700 11068 6198 9654 12797 2429 7858 4402 5324 8780 1686 12054 6964 3508 13758 3390 5237 8693 1594 11962 7700 4244 13134 2766 5884 9340 1014 11382 7613 4157 13042 2674 8499 5043 13674 3306 5366 8822 1563 11931 7051 3595 12234 1866 6123 9579 930 11298 7742 4286 13011 2643 5971 9427 786 11154 13683 3315 8490 5034 182 10550 6747 10203 12235 1867 7050 3594 939 11307 6114 9570 12926 2558 7827 4371 787 11155 5970 9426 1648 12016 5224 8680 13756 3388 6977 3521 1688 12056 5270 8726 13096 2728 7600 4144 1012 11380 5897 9353 13136 2768 7646 4190 6832 10288 40 10408 8572 5116 12161 1793 6872 10328 86 10454 7912 4456 12784 2416 6196 9652 713 11081 7952 4496 12830 2462 7016 3560 12168 1800 6840 10296 92 10460 8556 5100 13715 3347 5936 9392 720 11088 7920 4464 12836 2468 6180 9636 971 11339 12200 1832 6984 3528 1656 12024 5276 8732 13740 3372 8531 5075 752 11120 5904 9360 13104 2736 7652 4196 996 11364 6155 9611 1189 11557 5759 9215 13252 2884 7467 4011 1168 11536 5728 9184 13501 3133 7271 3815 1372 11740 5523 8979 13480 3112 7240 3784 6373 9829 575 10943 8068 4612 12651 2283 6352 9808 544 10912 8317 4861 12455 2087 6556 10012 339 10707 8296 4840 12424 2056 7431 3975 13332 2964 5665 9121 1250 11618 7407 3951 13302 2934 5487 8943 1452 11820 7177 3721 13562 3194 5463 8919 1422 11790 12615 2247 8148 4692 481 10849 6434 9890 12591 2223 8118 4662 303 10671 6636 10092 12361 1993 8378 4922 279 10647 6606 10062 1220 11588 5790 9246 13228 2860 7494 4038 1133 11501 5698 9154 13532 3164 7302 3846 1348 11716 5550 9006 13445 3077 7210 3754 6404 9860 606 10974 8044 4588 12678 2310 6317 9773 514 10882 8348 4892 12486 2118 6532 9988 366 10734 8261 4805 12394 2026 7419 3963 12594 2226 6446 9902 483 10851 8131 4675 13314 2946 5475 8931 282 10650 8390 4934 12363 1995 6619 10075 1434 11802 12603 2235 7410 3954 1262 11630 5667 9123 13315 2947 8130 4674 291 10659 5466 8922 13574 3206 7179 3723 1435 11803 6618 10074 568 10936 6304 9760 12676 2308 8057 4601 608 10976 6350 9806 12448 2080 8248 4792 364 10732 6545 10001 12488 2120 8294 4838 5752 9208 1120 11488 7492 4036 13241 2873 5792 9248 1166 11534 7264 3808 13432 3064 5548 9004 1361 11729 7304 3848 13478 3110 8096 4640 13248 2880 5760 9216 1172 11540 7476 4020 12635 2267 6584 10040 1368 11736 7272 3816 13484 3116 5532 8988 323 10691 13280 2912 8064 4608 576 10944 6356 9812 12660 2292 7451 3995 1400 11768 6552 10008 12456 2088 8300 4844 348 10716 5507 8963

See for all levels and check if all the numbers are in the magic cube and addition of the numbers give the right magic cube, the download below.

With method of Medjig you can construct a magic cube of even order. See on this website the construction of:

24x24x24, Diagonal (Medjig).xlsx