---
tag: 27S0KFYYQ2
kind: concept
name: Magic cube classes
aliases: [magic-cube-class]
sources:
  - wikipedia: en:1369521@r1308103024
    locator: Magic cube classes
    note: adopted
    mention: wikipedia://en/1369521
    sections: [Summary]
same_as:
  wikidata: Q17080147
  wikipedia: Magic cube classes
inventory: [MBY033K9NB]
---

## 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|1TPAY8432S]]. 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.