Translational tilings by a polytope, with multiplicity

We study the problem of covering Rd by overlapping translates of a convex polytope, such that almost every point of Rd is covered exactly k times. Such a covering of Euclidean space by a discrete set of translations is called a k-tiling. The investigation of simple tilings by translations (which...

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Bibliographic Details
Main Authors: Robins, Sinai., Shiryaev, Dmitry., Gravin, Nick.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/96779
http://hdl.handle.net/10220/13087
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Institution: Nanyang Technological University
Language: English

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