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Simple magic cube

Simple magic cube

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.

References

References

  1. Pickover, Clifford A.. (2002). "The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions". Princeton University Press.
Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

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