Danniel Dias Augusto

Magic Polygons and Combinatorial Algorithms

Danniel Dias Augusto · Asian Research Journal of Mathematics · 2022

In this work, we study the Magic Polygons of order 3 (P(n; 2)) and we introduce some properties that were useful to build an algorithm to find out how many Magic Polygons exists for the regular polygons up to 24 sides. The concepts of Equivalents Magic Polygons and Derivatives Ma...

Open access Research Article 10.9734/arjom/2022/v18i1130424

Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

Danniel Dias Augusto & Josimar da Silva Rocha · Asian Research Journal of Mathematics · 2019

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 discu...

Open access Research Article 10.9734/arjom/2019/v14i430134