Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

2019/06/26 by Augusto, Danniel Dias, Rocha, Josimar da Silva
#05B99 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1906.11342

Abstract

In this work we define Magic Polygons P (n, k) and Degenerated Magic Polygons D(n, k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P (n, k) and degenerated magic polygons D(n, k) are discussed for certain values of n and k.

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• Magic Polygons and Their Properties
• Magic Hexagon Formulas
• Polyhedral Cones of Magic Cubes and Squares
• Magic graphs and the faces of the Birkhoff polytope
• Introducing n-Magic Groups and Characterizing 3-Magic Finitely Generated Abelian Groups