Lines Pinning Lines

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dc.contributor.authorAronov, Borisko
dc.contributor.authorCheong, Otfriedko
dc.contributor.authorGoaoc, Xavierko
dc.contributor.authorRote, Guenterko
dc.date.accessioned2013-03-09T02:14:57Z-
dc.date.available2013-03-09T02:14:57Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2011-03-
dc.identifier.citationDISCRETE COMPUTATIONAL GEOMETRY, v.45, no.2, pp.230 - 260-
dc.identifier.issn0179-5376-
dc.identifier.urihttp://hdl.handle.net/10203/95095-
dc.description.abstractA line l is a transversal to a family F of convex polytopes in R(3) if it intersects every member of F. If, in addition, l is an isolated point of the space of line transversals to F, we say that F is a pinning of l. We show that any minimal pinning of a line by polytopes in R(3) such that no face of a polytope is coplanar with the line has size at most eight. If in addition the polytopes are pairwise disjoint, then it has size at most six.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectHELLY-TYPE-
dc.subjectTRANSVERSALS-
dc.subjectTHEOREMS-
dc.subjectBALLS-
dc.titleLines Pinning Lines-
dc.typeArticle-
dc.identifier.wosid000286616200003-
dc.identifier.scopusid2-s2.0-79251599287-
dc.type.rimsART-
dc.citation.volume45-
dc.citation.issue2-
dc.citation.beginningpage230-
dc.citation.endingpage260-
dc.citation.publicationnameDISCRETE COMPUTATIONAL GEOMETRY-
dc.identifier.doi10.1007/s00454-010-9288-6-
dc.contributor.localauthorCheong, Otfried-
dc.contributor.nonIdAuthorAronov, Boris-
dc.contributor.nonIdAuthorGoaoc, Xavier-
dc.contributor.nonIdAuthorRote, Guenter-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorGeometric transversal-
dc.subject.keywordAuthorHelly-type theorem-
dc.subject.keywordAuthorLine geometry-
dc.subject.keywordPlusHELLY-TYPE-
dc.subject.keywordPlusTRANSVERSALS-
dc.subject.keywordPlusTHEOREMS-
dc.subject.keywordPlusBALLS-
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