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

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• 作者：Alan Haynes^a ; ^{haynes@math.uh.edu} ; Michael Kelly^b ; ^{mskelly@idaccr.org} ; Henna Koivusalo^c ; ^{henna.koivusalo@univie.ac.at}
• 关键词：Bounded remainder sets ; Cut and project sets ; Quasicrystals
• 刊名：Indagationes Mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：28
• 期：1
• 页码：138-144
• 全文大小：239 K
• 卷排序：28

文摘

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.