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Survey of the Steinhaus Tiling Problem

Published online by Cambridge University Press:  15 January 2014

Steve Jackson  and
R. Daniel Mauldin
Steve Jackson
Affiliation:
Department of Mathematics, BOX 311430, University of North Texas, Denton, TX 76203, USAE-mail:[email protected], E-mail:[email protected]
R. Daniel Mauldin
Affiliation:
Department of Mathematics, BOX 311430, University of North Texas, Denton, TX 76203, USAE-mail:[email protected], E-mail:[email protected]
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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.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 9 , Issue 3 , September 2003 , pp. 335 - 361
Copyright
Copyright © Association for Symbolic Logic 2003

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References

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