Simple magic cube

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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.

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. ==References==

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