Zonotopes With Large 2D Cuts

Simple item page
dc.creatorRörig, Thilo
dc.creatorWitte, Nikolaus
dc.creatorZiegler, Günter M.
dc.date2007-10-16
dc.date2008-06-03
dc.date.accessioned2026-07-07T09:41:59Z
dc.date.available2026-07-07T09:41:59Z
dc.descriptionThere are d-dimensional zonotopes with n zones for which a 2-dimensional central section has Ω(n^{d-1}) vertices. For d=3 this was known, with examples provided by the "Ukrainian easter eggs'' by Eppstein et al. Our result is asymptotically optimal for all fixed d>=2.
dc.descriptionminor changes; 14 pages, 7 figures; to appear in Discrete and Computational Geometry
dc.identifierhttps://arxiv.org/abs/0710.3116
dc.identifierhttp://arxiv.org/abs/0710.3116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162022
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject52B05; 52B11; 52B12; 52C35; 52C40
dc.titleZonotopes With Large 2D Cuts
dc.typetext

Files

Collections

arXiv