Pentagons and rhombuses that can form rotationally symmetric tilings

2020/05/23 by Teruhisa Sugimoto, Sugimoto, Teruhisa
Engineering · Materials Science · Mathematics · #05B45 #52C20 #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Quasicrystal Structures and Properties #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2005.12709

openalex publication_date 2020/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, various rotationally symmetric tilings that can be formed using pentagons that are related to rhombus are discussed. The pentagons can be convex or concave and can be degenerated into a trapezoid. If the pentagons are convex, they belong to the Type 2 family. Because the properties of pentagons correspond to those of rhombuses, the study also explains the correspondence between pentagons and various rhombic tilings.

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