Convex Pentagon Tilings and Heptiamonds, I

Teruhisa SUGIMOTO (ISTA, Japan Tessellation Design Association)

Yoshiaki ARAKI (Japan Tessellation Design Association)

 

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.

• pdf file-Ver.1.3 (Update: 03/2018)

• ERRATA of Ver.1.3 (Update: 12/2019)

• arXive "https://arxiv.org/abs/1704.03997v2" Ver.2 (= pdf file-Ver.1.3)

• Main changes and corrections from previous version

 

Supplemental contents

 

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