Constructing All Magic Squares of Order Three

Abstract

We find by applying MacMahon's partition analysis that all magic squares of order three, up to rotations and reflections, are of two types, each generated by three basis elements. A combinatorial proof of this fact is given.

7 pages

References in corpus (1)

• Algebraic Combinatorics of Magic Squares

Cited by in corpus (1)

• An Enumerative Geometry for Magic and Magilatin Labellings