Simple magic cube

From testwiki
Revision as of 20:39, 22 October 2023 by imported>David Eppstein (-cat)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
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.[1] i.e. all "1-agonals" and all "3-agonals" sum to

S=m(m3+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

Template:Reflist