Category:Perfect Magic Cubes

This category contains results about Perfect Magic Cubes.
Definitions specific to this category can be found in Definitions/Perfect Magic Cubes.

A perfect magic cube is an arrangement of the first $n^3$ (strictly) positive integers into an $n \times n \times n$ cubic array such that:

the sum of the entries in each row in each of the $3$ dimensions

the sum of the entries along the main diagonal of each plane

the sum of the entries along the space diagonals

are the same.