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Simple magic cube

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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 = m ( m 3 + 1 ) 2 . {\displaystyle 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

References

  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.

External links

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