10x10x10 magic cube


A Nasik (= pandiagonal & pantriagonal) magic cube is not possible. If you want a more than simple 10x10x10 magic cube you can choose a diagonal ór a pantriagonal 10x10x10 magic cube.




[Medjig method] I have used the Medjig method three dimensional (3D) to construct a simple 10x10x10 magic cube.




In my opinion it is not  possible to find regular grids to construct a diagonal magic cube of order double odd like the 10x10x10 magic cube. With help of computer (programming) you can construct a diagonal 10x10x10 magic cube; see below the analysis of Li Wen's 10x10x10 diagonal cube.


10x10x10, diagonal, analysis.xlsx
Microsoft Excel werkblad 139.5 KB


You can see that this 10x10x10 diagonal magic cube has been constructed by using three grids with the number 1 up to 10 in it. Number 1 is connected with 10, 2 with 9, 3 with 8, ... But the numbers are aranged in an irregular sequence; tregular sequence is not possible.




[Medjig method] Look how René Chretien created a pantriagonal 10x10x10 magic cube by using the Medjig method (3D).


[Method of Luyendijk] Luckily it is possible to construct a pantriagonal 10x10x10 magic cube by using regular grids.