Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II

Alan Haynes*, Michael Kelly, Henna Koivusalo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)138-144
Number of pages7
JournalIndagationes mathematicae-New series
Issue number1
Publication statusPublished - 1 Feb 2017

Bibliographical note

© 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.


  • Bounded remainder sets
  • Cut and project sets
  • Quasicrystals

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