Convex Pentagon Tilings and Heptiamonds, II

Teruhisa SUGIMOTO (ISTA, Japan Tessellation Design Association)

Yoshiaki ARAKI (Japan Tessellation Design Association)

Abstract: In the previous manuscript, new tilings (tessellations) were presented using convex pentagonal tiles belonging to Type 1 and Type 5. The convex pentagon tilings are related to heptiamond tilings. Later, the authors found Johannes Hindriks’ site that summarized the research results of heptiamond tilings (tessellations). In this manuscript, the results of converting the heptiamond tilings of Hindriks to convex pentagon tilings are introduced. As a result, many new convex pentagon tilings are presented.

•　pdf file-Ver.1.3 (Update: 03/2018)

•　ERRATA of Ver.1.3 (Update: 12/2019)

•　arXive "https://arxiv.org/abs/1704.04314v3" Ver.v3 (= pdf file-Ver.1.3)

•　Main changes and corrections from previous version

Supplemental contents

•　Tilings with ship units and CN-units

•　Figures of Paper II (The resolution of figures increased.)

•　Papre I