{"?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-GWHNP279/93d71ea1-6ac6-44ec-8fd2-da3dad566275/PDF","dcterms:extent":"3365 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-GWHNP279/120640ca-e301-4449-b633-7cf53859e8b9/TEXT","dcterms:extent":"43 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-GWHNP279","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2014","dc:creator":["Gévay, Gábor","Pisanski, Tomaž"],"dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:7"},{"@xml:lang":"sl","#text":"str. 317-336"}],"dc:identifier":["COBISSID:16868185","ISSN:1855-3966","URN:URN:NBN:SI:doc-GWHNP279"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"Clifford configuration"},{"@xml:lang":"sl","#text":"Cliffordova konfiguracija"},{"@xml:lang":"en","#text":"Danzer configuration"},{"@xml:lang":"sl","#text":"Danzerjeva konfiguracija"},{"@xml:lang":"en","#text":"generalized cuboctahedron graph"},{"@xml:lang":"sl","#text":"grafi z enotsko razdaljo"},{"@xml:lang":"en","#text":"isometric point-circle configuration"},{"@xml:lang":"en","#text":"Kronecker cover"},{"@xml:lang":"sl","#text":"Kroneckerjev krov"},{"@xml:lang":"en","#text":"unit-distance graph"},{"@xml:lang":"en","#text":"V-construction"},{"@xml:lang":"sl","#text":"V-konstrukcija"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Kronecker covers, V-construction, unit-distance graphs and isometric point-circle configurations|"},"dc:description":{"@xml:lang":"sl","#text":"We call a convex polytope ?$P$? of dimension 3 admissible if it has the following two properties: (1) for each vertex of ?$P$? the set of its first-neighbours is coplanar; (2) all planes determined by the first-neighbours are distinct. It is shown that the Levi graph of a point-plane configuration obtained by ?$V$?-construction from an admissible polytope ?$P$? is the Kronecker cover of the 1-skeleton of ?$P$?. We investigate the combinatorial nature of the ?$V$?-construction and use it on unit-distance graphs to construct novel isometric point-circle configurations. In particular, we present an infinite series all of whose members are subconfigurations of the renowned Clifford configurations"},"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-GWHNP279","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-GWHNP279"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-GWHNP279/93d71ea1-6ac6-44ec-8fd2-da3dad566275/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-GWHNP279/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-GWHNP279"}}}}