{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-IPWVXVGV/918ccb87-8c1b-4027-a406-8b5a0f401da1/PDF","dcterms:extent":"443 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-IPWVXVGV/d546199f-3582-451e-a2ce-c577f342a713/TEXT","dcterms:extent":"34 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-IPWVXVGV","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Yuan, Liping","Zamfirescu, Tudor"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"str. 255-270"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18954585","URN:URN:NBN:SI:doc-IPWVXVGV"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"discs"},{"@xml:lang":"sl","#text":"diski"},{"@xml:lang":"sl","#text":"pentaederske kletke"},{"@xml:lang":"en","#text":"pentahedral cages"},{"@xml:lang":"sl","#text":"tetraederske kletke"},{"@xml:lang":"en","#text":"tetrahedral cages"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Tetrahedral and pentahedral cages for discs|"},"dc:description":[{"@xml:lang":"sl","#text":"This paper is about cages for compact convex sets. A cage is the 1-skeleton of a convex polytope in ?$\\mathbb{R}^3$?. A cage is said to hold a set if the set cannot be continuously moved to a distant location, remaining congruent to itself and disjoint from the cage. In how many ''truly different'' positions can (compact 2-dimensional) discs be held by a cage? We completely answer this question for all tetrahedra. Moreover, we present pentahedral cages holding discs in a large number (57) of positions"},{"@xml:lang":"sl","#text":"Članek govori o kletkah za kompaktne konveksne množice. Kletka je 1-skelet konveksnega politopa v ?$\\mathbb{R}^3$?. Pravimo, da kletka zadržuje množico, če se množice ne da zvezno premakniti na oddaljeno lokacijo tako, da bi ves čas ostala sama sebi kongruentna in disjunktna s kletko. Na koliko ''zares različnih'' položajih lahko kletka zadržuje (kompaktni 2-dimenzionalni) disk? Na to vprašanje popolnoma odgovorimo za vse tetraedre. Poleg tega predstavimo pentaederske kletke, ki zadržujejo diske na velikem številu (57) položajev"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-IPWVXVGV","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-IPWVXVGV"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-IPWVXVGV/918ccb87-8c1b-4027-a406-8b5a0f401da1/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-IPWVXVGV/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-IPWVXVGV"}}}}