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m-Axial and m-Circular 3m-Polygons

2019/11/20 by Rolf Haag, Haag, Rolf
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #Number Theory (math.NT) #graph theory and CDMA systems #math.CO #math.GR #math.NT

paper · pdf · doi:10.48550/arxiv.1911.09155

24 pages,8 figures, 8 tables

arxiv created 2019/11/20 · openalex publication_date 2019/11/20 · arxiv updated 2019/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present article includes the enumeration of n-polygons with two certain symmetry properties: For a number 3m of vertices, we count the 3m-polygons with m symmetry axes and the 3m-polygons, that match after three elementary rotations, but have no symmetry axes. For those polygons we give complete lists of representatives of their equivalence-classes and closed formulas for their number.

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