### Pantriagonal & compact 4x4x4 magic cube (Composite 1')

In comparison with the most perfect magic 4x4x4 cube, the magic 4x4x4 cube is pantriagonal magic (= the 4 space diagonals and all space pandiagonals give the magic sum of 130) and 2x2 compact (in all three directions i.e. 63+34+10+23 = 63+34+1+32 = 63+10+1+56 =130), but this 4x4x4 magic cube is only semi (= simple) magic (instead of diagonal magic) in each level and semi (= simple) magic (instead of diagonal magic) through the levels.

First level 4x4x4 cube

 6 27 54 43 51 46 3 30 16 17 64 33 57 40 9 24

Second level 4x4x4 cube

 63 34 15 18 10 23 58 39 53 44 5 28 4 29 52 45

Third level 4x4x4 cube

 1 32 49 48 56 41 8 25 11 22 59 38 62 35 14 19

Fourth level 4x4x4 cube

 60 37 12 21 13 20 61 36 50 47 2 31 7 26 55 42

See in download below how to construct (by puzzling) a 4x4x4 pantriagonal and 2x2 compact 4x4x4 magic cube.

With method composite 1' you use a splitted magic square to construct a magic cube. See on this website the construction of:

4x4x4, pantriagonal & compact.xls