6x6x6 magic cube

 

A Nasik (= pandiagonal & pantriagonal) 6x6x6 magic cube does not exist. Besides a simple result, you have to choose for a diagonal ór a pantriagonal 6x6x6 magic cube.

 

Simple

 

[Medjig method] I used the Medjig method three dimensional (3D) to construct a simple 6x6x6 magic cube.

 

Diagonal

 

[Shift method] I did not succeed in finding regular grids to construct a diagonal 6x6x6 magic cube. I believe regular grids to construct a diagonal magic cube of double odd order do not exist. See below an analysis of Walter Trump's diagonal 6x6x6 magic cube.

 

Download
6x6x6, diagonal, analysis.xlsx
Microsoft Excel werkblad 44.4 KB

 

Pantriagonal

 

[Method of Luyendijk] Luckily I found regular grids to construct a pantriagonal 6x6x6 magic cube in the 6x6x6 magic cube of Luyendijk.