
TL;DR
This paper explores the construction of magic hexagons of various orders, extends known results, and introduces a new theory for formula-based magic hexagons with arbitrary sums, proving their infinite existence for any order.
Contribution
It provides new constructions of magic hexagons for orders 3 to 7 and establishes a theorem on the infinite existence of such hexagons with arbitrary sums for any order.
Findings
Constructed magic hexagons for orders 3 to 7.
Proved the existence of infinitely many magic hexagons for any order and sum.
Introduced a new theory for formula-based magic hexagons.
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 for any fixed positive integer for any arbitrary magic sum to be any desired integer . We instigate theory and ideas associated with formula-based versions of the magic hexagons, which seem to be new.
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