2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76805For any delta > 1 we construct a periodic and locally finite packing of the plane with ellipses whose delta-enlargement covers the whole plane. This answers a question of Imre Bárány. On the other hand, we show that if C is a packing in the plane with circular discs of radius at most 1, then its 1.00001-enlargement covers no square with side length 4.11 pages, 11 figures. Dedicated to our friend Imre Bárány on the occasion of his 50th birthdayMetric Geometry52C15text