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.^[1] 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.

^ Pickover, Clifford A. (2002). The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton University Press. p. 400. ISBN 9780691070414.

[1] Pickover, Clifford A. (2002). The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton University Press. p. 400. ISBN 9780691070414.

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