Simple magic cube
From HandWiki
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
- [math]\displaystyle{ S = \frac{m(m^3+1)}{2}. }[/math]
No planar diagonals (2-agonals) are required to sum correctly, so there are probably no magic squares in the cube.
See also
References
- ↑ Pickover, Clifford A. (2002). The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions. Princeton University Press. pp. 400. ISBN 9780691070414.
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
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