Haynes, Alan orcid.org/0000-0001-6077-8162, Kelly, Michael and Koivusalo, Henna (2017) Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II. Indagationes mathematicae-New series. pp. 138-144. ISSN 0019-3577
Abstract
Recent results of several authors have led to constructions of parallelotopes which are bounded remainder sets for totally irrational toral rotations. In this brief note we explain, in retrospect, how some of these results can easily be obtained from a geometric argument which was previously employed by Duneau and Oguey in the study of deformation properties of mathematical models for quasicrystals.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. |
Keywords: | Bounded remainder sets,Cut and project sets,Quasicrystals |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/M023540/1 EPSRC EP/J00149X/2 EPSRC EP/L001462/2 |
Depositing User: | Pure (York) |
Date Deposited: | 14 Feb 2017 12:40 |
Last Modified: | 27 Nov 2024 00:28 |
Published Version: | https://doi.org/10.1016/j.indag.2016.11.010 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1016/j.indag.2016.11.010 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112246 |