Most perfect 4x4x4:

See on www.trump.de/magic-squares/magic-cubes/cubes-1.html the following 4x4x4 magic cube. This is the most perfect 4x4x4 magic cube.

This 4x4x4 magic cube has the following magic features:

• the 4 rows, the 4 columns and the 2 diagonals in each level give the magic sum of 130;
• the 16 pilars give the magic sum of 130;
• the 16 diagonals through the 4 levels give the magic sum of 130;
• the sum of the tridiagonals is 100, 120 140 respectively 160 (instead of 130).

'Thomas4art' constructed in 1982 already a simular 4x4x4 magic cube; see on

www.basicform.nl

Methods: 

[Composite 1] Use a 4x4 panmagic square to construct a most perfect 4x4x4 magic cube

[Composite 1'] Use a splitted 4x4 panmagic square to construct a pantriagonal & symmetric 4x4x4 magic cube

[Composite 1'] Use a splitted 4x4 panmagic square to construct a pantriagonal & compact 4x4x4 magic cube