The net created from the Penrose tiling is biLipschitz to the integer lattice

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dc.creatorSolomon, Y.
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:44:39Z
dc.date.available2026-07-07T08:44:39Z
dc.descriptionA separated net is a set of points which is relatively dense and uniformly discrete (another name for a Delone set). We are dealing with tilings and separated nets in Euclidean spaces and with the question whether a given separated net is biLipschitz to the integer lattice. In this paper we show, as an answer to a question of Burago and Kleiner, that the net that is obtained form the Penrose tiling is biLipschitz to the integer lattice.
dc.identifierhttps://arxiv.org/abs/0711.3707
dc.identifierhttp://arxiv.org/abs/0711.3707
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142735
dc.subjectMetric Geometry
dc.subjectDynamical Systems
dc.titleThe net created from the Penrose tiling is biLipschitz to the integer lattice
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