10x10x10 simple magic cube constructed by 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.

 

Download
10x10x10, Medjig.xlsx
Microsoft Excel werkblad 103.7 KB