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September 2003 Survey of the Steinhaus tiling problem
Steve Jackson, R. Daniel Mauldin
Bull. Symbolic Logic 9(3): 335-361 (September 2003). DOI: 10.2178/bsl/1058448676

Abstract

We survey some results and problems arising from a classic problem of Steinhaus: Is there a subset S of ℝ2 such that each isometric copy of ℤ2 (the lattice points in the plane) meets S in exactly one point.

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Steve Jackson. R. Daniel Mauldin. "Survey of the Steinhaus tiling problem." Bull. Symbolic Logic 9 (3) 335 - 361, September 2003. https://doi.org/10.2178/bsl/1058448676

Information

Published: September 2003
First available in Project Euclid: 17 July 2003

zbMATH: 1070.52008
MathSciNet: MR2005953
Digital Object Identifier: 10.2178/bsl/1058448676

Subjects:
Primary: 04A20 , 28A20
Secondary: 11H31 , 52A37

Keywords: four-bar linkage , Fourier transform , lattice points , Steinhaus problem

Rights: Copyright © 2003 Association for Symbolic Logic

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Vol.9 • No. 3 • September 2003
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