For explanation about the Medjig method to construct magic squares, see 6x6 magic square.

You can use the Medjig method three dimensional (3D) to construct a simple 6x6x6 magic square with two grids. The first grid does not consist of the 2x2 Medjig tiles with numbers 0 up to 3, but consists of the 2x2x2 Medjig blocks with the numbers 0 up to 7. To keep it easy, use the numbers 0, 3, 5 and 6 in the odd levels and fill in automatically the inverse numbers 7, 4, 2 and 1 in the even levels. If you get level 1 valid, copy it to levels 3 and 5, than the pillars give also the right magic sum. To get the triagonals valid, you must swap numbers (and take care that the other magic features remain valid).

Take 1x number from first grid with 2x2 'blown up' 3x3x3 magic cube

+ 27x number from second grid with 2x2x2 Medjig blocks

= 6x6x6 simple magic cube

See for 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), 12x12x12 (pantriagonal), 14x14x14 (pantriagonal), 16x16x16 (Nasik),  20x20x20 (pantriagonal), 22x22x22 (pantriagonal), 24x24x24 (diagonal), 24x24x24 (pantriagonal), 26x26x26 (pantriagonal), 28x28x28 (pantriagonal) and 32x32x32 (Nasik)