On the Penrose and Taylor–Socolar hexagonal tilings

Simple item page
dc.contributor.authorLee, Jeong-Yup
dc.contributor.authorMoody, Robert V.
dc.date.accessioned2018-06-27T19:58:39Z
dc.date.available2018-06-27T19:58:39Z
dc.date.copyright2017en_US
dc.date.issued2017-05
dc.description.abstractThe 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipJYL would like to acknowledge support of this work by a National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2014004168) and by the research fund of Catholic Kwandong University (CKURF-201604560001). She is also grateful for the support of the Korea Institute for Advanced Study (KIAS). RVM is grateful for the support of this work by the Natural Sciences and Engineering Council of Canada (NSERC).en_US
dc.identifier.citationLee, 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/S2053273317003576en_US
dc.identifier.urihttps://doi.org/10.1107/S2053273317003576
dc.identifier.urihttp://hdl.handle.net/1828/9533
dc.language.isoenen_US
dc.publisherACTA Crystallographica A-Foundations and Advancesen_US
dc.subjectPenrose tiling
dc.subjectTaylor-Socolar tiling
dc.subjectdouble hexagon tiling
dc.subjectnexted traingularizations
dc.subjectinverse sequences of hierarchical lattices
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleOn the Penrose and Taylor–Socolar hexagonal tilingsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
lee_jy_acta crystallogr a_2017.pdf
Size:
1.58 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.