On the Penrose and Taylor–Socolar hexagonal tilings

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lee_jy_acta crystallogr a_2017.pdf (1.58 MB)

Date

2017-05

Authors

Lee, Jeong-Yup
Moody, Robert V.

Journal Title

Journal ISSN

Volume Title

Publisher

ACTA Crystallographica A-Foundations and Advances

Abstract

The intimate relationship between the Penrose and the Taylor-Socolar tilings is studied, within both the context of double hexagon tiles and the algebraic context of hierarchical inverse sequences of triangular lattices. This unified approach produces both types of tilings together, clarifies their relationship and offers straightforward proofs of their basic properties.

Description

Keywords

Penrose tiling, Taylor-Socolar tiling, double hexagon tiling, nexted traingularizations, inverse sequences of hierarchical lattices

Citation

Lee, J. Y.; Moody, R. V. (2017). On the Penrose and Taylor–Socolar hexagonal tilings. ACTA Crystallographica A-Foundations and Advances, 73(3), 246-256. https://doi.org/10.1107/S2053273317003576

URI

https://doi.org/10.1107/S2053273317003576
 http://hdl.handle.net/1828/9533

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