Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

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The Magic Polygons P(n;2) had already been introduced, where sufficient and necessary conditions for the existence of polygons P(n;2) such as those presented in this article. In this work we discuss the existence and non-existence of examples for Magic Polygons P(n; k) and Degenerate Magic Polygons D(n; k) for n and k satisfying some conditions, but the complete answer about the conditions of existence of these structures for all values of n and k is an open problem. In this way, this subject constitutes a fecund field for future works.

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