Survey of the Steinhaus tiling problem

Steve Jackson; R. Daniel Mauldin

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

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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

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