Arithmagons and geometrically invariant multiplicative integer partitions
Document Type
Article
Publication Date
1-1-2016
Abstract
In this article, we introduce a formal denition for integral arithmagons. Informally, an integral arithmagon is a polygonal gure 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.
Publication Title
Acta Mathematica Universitatis Comenianae
Volume
85
Issue
1
First Page
87
Last Page
95
ISSN
08629544
E-ISSN
13360310
Citation Information
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.
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