30x30x30 magic cube

 

A Nasik (= pandiagonal & pantriagonal) 30x30x30 magic cube is not possible. You can construct a diagonal ór a pantriagonal 30x30x30 magic cube.

 

With a (simple) 3x3x3 magic cube (and its inverse) and a diagonal 10x10x10 magic cube you can construct a diagonal 30x30x30 magic cube.

 

Using a diagonal 5x5x5 magic cube and a diagonal 6x6x6 magic cube, there are three possibilities to construct a 30x30x30 diagonal magic cube: diagonal (1), diagonal (2) and diagonal (3)

 

Using a diagonal 6x6x6 magic cube and a panmagic 5x5 square, you can construct a 30x30x30 diagonal magic cube and (1/5 pillars,) 1/5 diagonals and 1/5 (main) triagonals through the levels give 1/5 of the magic sum (N.B.: in each level give whole rows/columns/diagonals the magic sum). 

 

Using a diagonal 10x10x10 magic cube you can construct a diagonal 30x30x30 magic cube consisting of 27x proportional diagonal 10x10x10 magic cube.

 

With a (simple) 3x3x3 magic cube (and its inverse) and a pantriagonal 10x10x10 magic cube, you can construct a pantriagonal 30x30x30 magic cube.

 

Using a pantriagonal 5x5x5 magic cube and a pantriagonal 6x6x6 magic cube, there are three possibilities to construct a 30x30x30 pantriagonal magic cube: pantriagonal (1), pantriagonal (2) and pantriagonal (3).

 

Use the method of the double odd three dimensional magic cube (order 6, 10, 14, 18, 26 and 26) to construct a 30x30x30 pantriagonal magic cube.

 

Use the method of the 24x24x24 magic cube to construct a 30x30x30 pantriagonal magic cube consisting of 125x poportional pantriagonal 6x6x6 magic cube.