Simple magic cube explained

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.^[1] i.e. all "1-agonals" and all "3-agonals" sum to

S = (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

Notes and References

1. Book: The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions . Princeton University Press . Pickover, Clifford A. . 2002 . 400 . 9780691070414.