Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices,II |
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| Affiliation: | 1. University of Houston, Houston, TX 77204, USA;2. Center for Communications Research, Princeton, NJ 08540, USA;3. Faculty of Mathematics, University of Vienna, Oskar Morgensternplatz 1, 1090 Vienna, Austria |
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| 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. |
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| Keywords: | Bounded remainder sets Cut and project sets Quasicrystals |
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