Almost-tiling the plane by ellipses

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dc.creatorKuperberg, Krystyna
dc.creatorKuperberg, Włodzimierz
dc.creatorMatoušek, Jiří
dc.creatorValtr, Pavel
dc.date1998-04-07
dc.date.accessioned2026-07-07T05:24:21Z
dc.date.available2026-07-07T05:24:21Z
dc.descriptionFor 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.
dc.description11 pages, 11 figures. Dedicated to our friend Imre Bárány on the occasion of his 50th birthday
dc.identifierhttps://arxiv.org/abs/math/9804040
dc.identifierhttp://arxiv.org/abs/math/9804040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76805
dc.subjectMetric Geometry
dc.subject52C15
dc.titleAlmost-tiling the plane by ellipses
dc.typetext

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