Magic cube classes

Summary

In mathematics, a magic cube of order $n$ is an $n\times n \times n$ grid of natural numbers satisfying the property that the numbers in the same row, the same column, the same pillar or the same length-$n$ diagonal add up to the same number. It is a $3$-dimensional generalisation of the magic square. A magic cube can be assigned to one of six magic cube classes, based on the cube characteristics. A benefit of this classification is that it is consistent for all orders and all dimensions of magic hypercubes.