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

TY - JOUR

T1 - Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II

AU - Haynes, Alan

AU - Kelly, Michael

AU - Koivusalo, Henna

N1 - © 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.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - Bounded remainder sets

KW - Cut and project sets

KW - Quasicrystals

UR - http://www.scopus.com/inward/record.url?scp=85008169569&partnerID=8YFLogxK

U2 - 10.1016/j.indag.2016.11.010

DO - 10.1016/j.indag.2016.11.010

M3 - Article

AN - SCOPUS:85008169569

SN - 0019-3577

VL - 28

SP - 138

EP - 144

JO - Indagationes mathematicae-New series

JF - Indagationes mathematicae-New series

IS - 1

ER -