Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

  • Danniel Dias Augusto Coordena��o da Matem�tica, Universidade Estadual do Goi�s, Unidade Universit�ria de Formosa, 73807-250, Formosa - GO, Brazil.
  • Josimar da Silva Rocha Departamento de Matem�tica, Universidade Tecnol�gica Federal do Paran�, C�mpus Corn�lio Proc�pio, 86300-000, Corn�lio Proc�pio - PR, Brazil.
Keywords: Combinatorics, magic polygons, degenerated magic polygons

Abstract

In this work we de?ne 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:

Published
2020-01-04
How to Cite
Augusto, D. D., & Rocha, J. da S. (2020). Magic Polygons and Degenerated Magic Polygons: Characterization and Properties. Theory and Applications of Mathematical Science Vol. 1, 1-21. Retrieved from https://stm1.bookpi.org/index.php/tams-v1/article/view/24
Issue
Theory and Applications of Mathematical Science Vol. 1
Section
Chapters