You can contruct a diagonal ór a pantriagonal 24x24x24 magic cube, but a Nasik perfect (= pandiagonal and pantriagonal) 24x24x24 magic cube is also possible .

 

Diagonal

 

[Medjig method] Use the Medjig method three dimensional (3D) to construct a diagonal 24x24x24 magic cube.

 

[Composite 1] Use a 24x24 magic square consisting of 4x 6x6 magic square to construct a diagonal 24x24x24 magic cube and 1/2 of the diagonals in each level and 1/4 diagonals and 1/4 (main) triagonals through the levels give a proportional part of the magic sum.

 

[Composite 2]  Use a diagonal 12x12x12 magic cube to construct a diagonal 24x24x24 magic cube consisting of 8x proportional diagonal 12x12x12 magic cube and in the levels 1/4 rows/columns/diagonals and through the levels 1/2 pillars and 1/4 diagonals and 1/4 space diagonals give the magic sum. 

 

[Composite 3'] Use a most perfect 4x4x4 magic cube (and its inverse) and a 4x4x4 'blown up' diagonal 6x6x6 magic cube to construct a diagonal 24x24x24 magic cube.

 

[Composite 5] Use a diagonal 6x6x6 magic cube and a 4x4 magic square to construct a diagonal 24x24x24 magic cube and 1/4 pillars, 1/4 diagonals and 1/4 (main) triagonals give 1/4 of the magic sum.

 

Pantriagonal

 

[Medjig method] Use the Medjig method three dimensional (3D) to construct a pantriagonal 24x24x24 magic cube.

 

[Composite 1]  With a special composite 24x24 magic square you can construct a pantriagonal 24x24x24 magic cube.

 

[Composite 3] Using a pantriagonal 4x4x4 magic cube and a pantriagonal 6x6x6 magic cube, there are two possibilities to construct a pantriagonal 24x24x24 magic cube: pantriagonal (a) and pantriagonal (b).

 

[Composite 5] With a 6x6x6 diagonal magic cube and a 4x4 panmagic square I have also constructed a pantriagonal 24x24x24 magic cube consisting of 64 proportional pantriagonal 6x6x6 magic cubes.

 

[Composite 5'] Use a 3x3x3 magic cube and it's inverse and a most perfect 8x8 magic square to construct a pantriagonal 24x24x24 magic cube.

 

[almost] Nasik

 

[Knight jump method] René Chrétien created an almost Nasik 24x24x24 magic cube. You can find sequential numbers in the magic cube by using chess knight jumps.

 

[Composite 3'] With a Nasik 8x8x8 magic cube and a (simple) 3x3x3 magic cube (and its inverse), you can construct a Nasik (= pandiagonal & pantriagonal) 24x24x24 magic cube.