Magic Polygons and Degenerated Magic Polygons: Characterization and Properties
Danniel Dias Augusto
Coordenação da Matemática, Universidade Estadual do Goiás, Unidade Universitária de Formosa, 73807-250, Formosa - GO, Brazil.
Josimar da Silva Rocha *
Departamento de Matemática, Universidade Tecnológica Federal do Paraná, Câmpus Cornélio Procópio, 86300-000, Cornélio Procópio - PR, Brazil.
*Author to whom correspondence should be addressed.
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.
Keywords: Combinatorics, magic polygons, degenerated magic polygons.