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Research Article Open access CC BY 4.0

Magic Polygons and Combinatorial Algorithms

Danniel Dias Augusto

Asian Research Journal of Mathematics · pp. 27–39 · Published 31 Aug 2022

10.9734/arjom/2022/v18i1130424

Abstract

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 Magic Polygons which allowed to classify, and avoid ambiguity about the representations of such elements, are also introduced.

Magic polygons combinatorial algorithms symmetric group dihedral group

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