Structure Results for Multiple Tilings in 3D

Nick Gravin, Mihail N. Kolountzakis, Sinai Robins, Dmitry Shiryaev

Type: Article

Publication Date: 2013-10-16

Citations: 18

DOI: https://doi.org/10.1007/s00454-013-9548-3

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Discrete & Computational Geometry - View - PDF

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+ PDF Chat	Tiling, Circle Packing and Exponential Sums over Finite Fields	2018	C. Douglas Haessig Alex Iosevich Jonathan Pakianathan Sinai Robins L. Vaicunas
+ PDF Chat	Multi‐tiling and equidecomposability of polytopes by lattice translates	2019	Nir Lev Bochen Liu
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Works Cited by This (9)

Action	Title	Year	Authors
+	Lectures on Polytopes	1994	Günter M. Ziegler
+	The Study of Translational Tiling with Fourier Analysis	2004	Mihail N. Kolountzakis
+	Multiple tilings of Euclidean space by unit cubes	2000	Basil Gordon
+ PDF Chat	Keller’s cube-tiling conjecture is false in high dimensions	1992	Jeffrey C. Lagarias Peter W. Shor
+	Lattice covering of space with symmetric convex bodies	1985	Peter Gritzmann
+ PDF Chat	Translational tilings by a polytope, with multiplicity	2012	Nick Gravin Sinai Robins Dmitry Shiryaev
+ PDF Chat	Convex bodies which tile space by translation	1980	Peter McMullen
+ PDF Chat	On the Structure of Multiple Translational Tilings by Polygonal Regions	2000	M. N. Kolountzakis
+ PDF Chat	Covering space with convex bodies	1962	Péter L. Erdős C. Rogers