English

Magic Hexagon Formulas

General Mathematics 2025-08-18 v1

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 nn for any fixed positive integer nn for any arbitrary magic sum M=mM=m to be any desired integer mm. We instigate theory and ideas associated with formula-based versions of the magic hexagons, which seem to be new.

Keywords

Cite

@article{arxiv.2508.10961,
  title  = {Magic Hexagon Formulas},
  author = {Geoffrey B. Campbell},
  journal= {arXiv preprint arXiv:2508.10961},
  year   = {2025}
}

Comments

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

R2 v1 2026-07-01T04:50:33.117Z