On the Penrose and Taylor–Socolar hexagonal tilings

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...

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Detalles Bibliográficos
Autores principales: Lee, Jeong-Yup, Moody, Robert V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2017
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5406916/
https://www.ncbi.nlm.nih.gov/pubmed/28447596
http://dx.doi.org/10.1107/S2053273317003576
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author Lee, Jeong-Yup
Moody, Robert V.
author_facet Lee, Jeong-Yup
Moody, Robert V.
author_sort Lee, Jeong-Yup
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description 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.
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spelling pubmed-54069162017-05-07 On the Penrose and Taylor–Socolar hexagonal tilings Lee, Jeong-Yup Moody, Robert V. Acta Crystallogr A Found Adv Research Papers 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. International Union of Crystallography 2017-05-07 /pmc/articles/PMC5406916/ /pubmed/28447596 http://dx.doi.org/10.1107/S2053273317003576 Text en © Lee and Moody 2017 http://creativecommons.org/licenses/by/2.0/uk/ This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.http://creativecommons.org/licenses/by/2.0/uk/
spellingShingle Research Papers
Lee, Jeong-Yup
Moody, Robert V.
On the Penrose and Taylor–Socolar hexagonal tilings
title On the Penrose and Taylor–Socolar hexagonal tilings
title_full On the Penrose and Taylor–Socolar hexagonal tilings
title_fullStr On the Penrose and Taylor–Socolar hexagonal tilings
title_full_unstemmed On the Penrose and Taylor–Socolar hexagonal tilings
title_short On the Penrose and Taylor–Socolar hexagonal tilings
title_sort on the penrose and taylor–socolar hexagonal tilings
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5406916/
https://www.ncbi.nlm.nih.gov/pubmed/28447596
http://dx.doi.org/10.1107/S2053273317003576
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