2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59986We give a short proof of the fact that there are no measurable subsets of Euclidean space (in dimension d > 2), which, no matter how translated and rotated, always contain exactly one integer lattice point. In dimension d=2 (the original Steinhaus problem) the question remains open.Classical Analysis and ODEsMetric GeometryNumber Theory52C22; 11E25text