Magic Hexagon Formulas

Abstract

We give a variety of magic hexagons of Orders from 3 to 7, many of which are extensions of known results. We also give a theorem that their are an infinite number of magic hexagons of Order $n$ for any fixed positive integer $n$ for any arbitrary magic sum $M=m$ to be any desired integer $m$. We instigate theory and ideas associated with formula-based versions of the magic hexagons, which seem to be new.

9 pages, 17 figures, expanded version of July 2025 Australian Mathematical Society Gazette brief article in Volume 52, No3, July 2025