In this article, we introduce a formal definition for integral arithmagons. Informally, an integral arithmagon is a polygonal figure with integer labeled vertices and edges in which, under a binary operation, adjacent vertices equal the included edge. By considering the group of automorphisms for the associated graph, we count the number of integral arithmagons whose exterior sum or product equals a fixed number.
This document was originally published in Acta Mathematica Universitatis Comenianae by AMUC Journal. Copyright restrictions may apply.
Franco, J. A.; Champion, J.; and Lyons, J. W.. (2016). "Arithmagons and Geometrically Invariant Multiplicative Integer Partitions". Acta Mathematica Universitatis Comenianae, 85(1), 87-95.