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
• Gallery / Tilings with hexagonal flower L1 units
• Gallery / Tilings with hexagonal flower L2 units
• Tilings with hexagonal flower L3 units
• Figures of Paper I (The resolution of figures increased.)
• Paper II