Simple magic cube

File:Simple magic cube.svg

An example of a 3 × 3 × 3 simple magic cube.

A simple magic cube is the lowest of six basic classes of magic cubes. These classes are based on extra features required.

The simple magic cube requires only the basic features a cube requires to be magic. Namely, all lines parallel to the faces, and all 4 space diagonals sum correctly. i.e. all "1-agonals" and all "3-agonals" sum to

$S=\frac{m(m^3+1)}{2}.$

No planar diagonals (2-agonals) are required to sum correctly, so there are probably no magic squares in the cube.

See also

• Magic square
• Magic cube classes

External links

• Aale de Winkel - Magic hypercubes encyclopedia
• Harvey Heinz - large site on magic squares and cubes
• Christian Boyer - Multimagic cubes
• John Hendricks site on magic hypercubes