Convex Pentagon Tilings and Heptiamonds, I

2017/04/13 by Sugimoto, Teruhisa, Araki, Yoshiaki
#05B45 #52C20 #52C23 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1704.03997

Abstract

In 1995, Marjorie Rice discovered an interesting tiling by using convex pentagons. The authors discovered novel properties of the tilings of convex pentagon which Rice used in the discovery. As a result, many new convex pentagon tilings (tessellations) were found. The convex pentagon tilings are related to tilings by heptiamonds.

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