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.
@article{1058448676,
author = {Jackson, Steve and Mauldin, R. Daniel},
title = {Survey of the Steinhaus tiling problem},
journal = {Bull. Symbolic Logic},
volume = {09},
number = {1},
year = {2003},
pages = { 335- 361},
language = {en},
url = {http://dml.mathdoc.fr/item/1058448676}
}
Jackson, Steve; Mauldin, R. Daniel. Survey of the Steinhaus tiling problem. Bull. Symbolic Logic, Tome 09 (2003) no. 1, pp. 335- 361. http://gdmltest.u-ga.fr/item/1058448676/