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Simple magic cube

Wikipedia contributorsAdapted for Fathomly · View authors
1 min read
Source updated January 2, 2026
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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. i.e. all "1-agonals" and all "3-agonals" sum to

S={\frac {m(m^{3}+1)}{2}}.

No planar diagonals (2-agonals) are required to sum correctly, so there are probably no magic squares in the cube.

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Sources and credits

This article is adapted from the Wikipedia article “Simple magic cube”, written by its contributors and licensed under CC BY-SA 4.0. Fathomly has changed the layout, removed citation markers, navigation and maintenance notices, and adjusted punctuation. This adapted version is shared under the same license. For references, see the original article.

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Magic square

In mathematics, especially historical and recreational mathematics, a magic square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The order of a magic square is the number of integers along one side, and the constant sum is called the magic constant or magic sum.

Magic cube classes

In mathematics, a magic cube of order n {\displaystyle n} is an n × n × n {\displaystyle 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 {\displaystyle n} diagonal add up to the same number. It is a 3 {\displaystyle 3} -dimensional generalisation of the magic square.