Simple 10x10x10 magic cube (Medjig method 3D)
Use the Medjig method three dimensional (3D) to puzzle a simple 10x10x10 magic cube. See for explanation about the medjig method to construct magic squares: 6x6 magic square.
The first grid consists of a 2x2x2 'blown up' 5x5x5 magic cube. The second grid consists not of 2x2 Medjig tiles with the numbers 0 up to 3, but consists of 2x2x2 Medjig blocks with the numbers 0 up to 7. While puzzling I discovered it is wise to use the numbers 0, 3, 5 and 6 in the odd levels, and to fill in the even levels automatically with the inverse numbers 7, 4, 2 and 1. Try to get the levels valid first and than swap digits to get the (main) triagonals valid (and keep the levels valid).
Take 1x number from first grid with 2x2x2 'blown up' 5x5x5 [level 1]
| 67 | 67 | 18 | 18 | 119 | 119 | 106 | 106 | 5 | 5 |
| 67 | 67 | 18 | 18 | 119 | 119 | 106 | 106 | 5 | 5 |
| 116 | 116 | 17 | 17 | 14 | 14 | 73 | 73 | 95 | 95 |
| 116 | 116 | 17 | 17 | 14 | 14 | 73 | 73 | 95 | 95 |
| 40 | 40 | 50 | 50 | 81 | 81 | 65 | 65 | 79 | 79 |
| 40 | 40 | 50 | 50 | 81 | 81 | 65 | 65 | 79 | 79 |
| 56 | 56 | 120 | 120 | 55 | 55 | 49 | 49 | 35 | 35 |
| 56 | 56 | 120 | 120 | 55 | 55 | 49 | 49 | 35 | 35 |
| 36 | 36 | 110 | 110 | 46 | 46 | 22 | 22 | 101 | 101 |
| 36 | 36 | 110 | 110 | 46 | 46 | 22 | 22 | 101 | 101 |
+125x number from second grid with the 2x2x2 Medjig tiles [level 1]
| 5 | 6 | 0 | 5 | 0 | 6 | 5 | 3 | 5 | 0 |
| 0 | 3 | 6 | 3 | 5 | 3 | 6 | 0 | 3 | 6 |
| 6 | 0 | 6 | 0 | 6 | 0 | 5 | 6 | 0 | 6 |
| 3 | 5 | 5 | 3 | 3 | 5 | 0 | 3 | 5 | 3 |
| 0 | 5 | 6 | 0 | 0 | 5 | 3 | 5 | 5 | 6 |
| 6 | 3 | 3 | 5 | 6 | 3 | 0 | 6 | 0 | 3 |
| 6 | 5 | 3 | 6 | 0 | 3 | 0 | 3 | 6 | 3 |
| 3 | 0 | 0 | 5 | 6 | 5 | 5 | 6 | 0 | 5 |
| 0 | 3 | 6 | 5 | 6 | 0 | 6 | 3 | 6 | 0 |
| 6 | 5 | 0 | 3 | 3 | 5 | 5 | 0 | 5 | 3 |
= 10x10x10 simple magic cube
| 692 | 817 | 18 | 643 | 119 | 869 | 731 | 481 | 630 | 5 |
| 67 | 442 | 768 | 393 | 744 | 494 | 856 | 106 | 380 | 755 |
| 866 | 116 | 767 | 17 | 764 | 14 | 698 | 823 | 95 | 845 |
| 491 | 741 | 642 | 392 | 389 | 639 | 73 | 448 | 720 | 470 |
| 40 | 665 | 800 | 50 | 81 | 706 | 440 | 690 | 704 | 829 |
| 790 | 415 | 425 | 675 | 831 | 456 | 65 | 815 | 79 | 454 |
| 806 | 681 | 495 | 870 | 55 | 430 | 49 | 424 | 785 | 410 |
| 431 | 56 | 120 | 745 | 805 | 680 | 674 | 799 | 35 | 660 |
| 36 | 411 | 860 | 735 | 796 | 46 | 772 | 397 | 851 | 101 |
| 786 | 661 | 110 | 485 | 421 | 671 | 647 | 22 | 726 | 476 |
See for all levels and check if all numbers are in the magic cube and addition of the numbers give the right magic sum, the 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), 16x16x16 (Nasik), 24x24x24 (diagonal), 24x24x24 (pantriagonal) and 32x32x32 (Nasik)
