2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152230We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is not the Jacobian of a biLipschitz map.LaTeX2e file, 6 pagesDifferential GeometryMetric GeometryPrimary 20F32, Secondary 53C99, 26B35Separated nets in Euclidean space and Jacobians of biLipschitz mapstext