title: Sets meeting isometric copies of the lattice Z2 in exactly one point.
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].
authors.affiliation: Department of Mathematics, University of North Texas, Denton, TX 76203, USA. jackson@unt.edu
authors.forename: Steve
authors.initials: S
authors.lastname: Jackson
authors.forename: R Daniel
authors.initials: RD
authors.lastname: Mauldin