A short proof of the Twelve points theorem

Simple item page
dc.creatorCencelj, Matija
dc.creatorRepovš, Dušan
dc.creatorSkopenkov, Mikhail
dc.date2008-08-08
dc.date.accessioned2026-07-07T09:55:42Z
dc.date.available2026-07-07T09:55:42Z
dc.descriptionWe present a short elementary proof of the following Twelve Points Theorem: Let M be a convex polygon with vertices at the lattice points, containing a single lattice point in its interior. Denote by m (resp. m*) the number of lattice points in the boundary of M (resp. in the boundary of the dual polygon). Then m+m*=12.
dc.descriptionin English and in Russian, 4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0808.1217
dc.identifierhttp://arxiv.org/abs/0808.1217
dc.identifierMathematical Notes 77:1(2005), 108-111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166719
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject52B20
dc.titleA short proof of the Twelve points theorem
dc.typetext

Files

Collections

arXiv