3D realization of two triangulations of a  onvex polygon

dc.creator	Bereg, Sergey	es
dc.date.accessioned	2017-03-01T13:10:32Z
dc.date.available	2017-03-01T13:10:32Z
dc.date.issued	2004
dc.identifier.citation	Bereg, S. (2004). 3D realization of two triangulations of a onvex polygon. En 20th European Workshop on Computational Geometry, Sevilla.
dc.identifier.uri	http://hdl.handle.net/11441/55053
dc.description.abstract	We study the problem of construction of a convex 3-polytope whose (i) shadow boundary has n vertices and (ii) two hulls, upper and lower, are isomorphic to two given triangulations of a convex n-gon. Barnette [℄ D. W. Barnette. Projections of 3-polytopes. Israel J. Math., 8:304{308, 1970] proved the existence of a convex 3-polytope in general case. We show that, in our case, a polytope can be constructed using an operation of edge creation.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.relation.ispartof	20th European Workshop on Computational Geometry (2004).
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Triangulation	es
dc.subject	Convex polytope	es
dc.subject	Steinitz theorem	es
dc.title	3D realization of two triangulations of a onvex polygon	es
dc.type	info:eu-repo/semantics/conferenceObject	es
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
idus.format.extent	4 p.	es
dc.eventtitle	20th European Workshop on Computational Geometry	es
dc.eventinstitution	Sevilla	es

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