Sets meeting isometric copies of the lattice Z2 in exactly one point.
Where this comes from
- Record sourced from PubMed, PMID 12466499.
- Also identified by PMC identifier 138533.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
The construction of a subset S of (2) such that each isometric copy of (2) (the lattice points in the plane) meets S in exactly one point is indicated. This provides a positive answer to a problem of H. Steinhaus [Sierpiński, W. (1958) Fund. Math. 46, 191-194].