{"?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-HZVG7AIU/abe33cc2-a5bf-4cf0-8d1d-2f9e6bfe994a/PDF","dcterms:extent":"381 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-HZVG7AIU/f161f76e-90cc-42be-bfdc-3d2182f91fcc/TEXT","dcterms:extent":"26 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-HZVG7AIU","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":"Szirmai, Jenő","dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 349-358"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18755417","URN:URN:NBN:SI:doc-HZVG7AIU"],"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":"Coxeter tilings"},{"@xml:lang":"sl","#text":"Coxeterjeva tlakovanja"},{"@xml:lang":"en","#text":"Dirichlet-Voronoi cell"},{"@xml:lang":"sl","#text":"Dirichlet-Voronoijeva kletka"},{"@xml:lang":"sl","#text":"gostota pakiranja"},{"@xml:lang":"sl","#text":"hiperbolična geometrija"},{"@xml:lang":"sl","#text":"hiperkrogelna pakiranja"},{"@xml:lang":"en","#text":"hyperball packings"},{"@xml:lang":"en","#text":"hyperbolic geometry"},{"@xml:lang":"en","#text":"packing density"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Decomposition method related to saturated hyperball packings|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper we study the problem of hyperball (hypersphere) packings in 3-dimensional hyperbolic space. We introduce a new definition of the non-compact saturated ball packings with generalized balls (horoballs, hyperballs) and describe to each saturated hyperball packing, a new procedure to get a decomposition of 3-dimensional hyperbolic space ?$\\mathbb{H}^3$? into truncated tetrahedra. Therefore, in order to get a density upper bound for hyperball packings, it is sufficient to determine the density upper bound of hyperball packings in truncated simplices"},{"@xml:lang":"sl","#text":"V članku raziskujemo problem hiperkrogelnega (hipersfernega) pakiranja v 3-dimenzionalnem hiperboličnem prostoru. Vpeljemo novo definicijo nekompaktnih nasičenih krogelnih pakiranj s posplošenimi kroglami (horokroglami, hiperkroglami) in za vsako od njih opišemo nasičeno hiperkrogelno pakiranje, tj. nov postopek, s katerim razdelimo 3-dimenzionalen hiperboličen prostor ?$\\mathbb{H}^3$? na prisekane tetraedre. Zato je, da dobimo zgornjo mejo za gostoto hiperkrogelnih pakiranj, dovolj določiti zgornjo mejo za gostoto hiperkrogelnih pakiranj v prisekanih simpleksih"}],"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-HZVG7AIU","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-HZVG7AIU"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-HZVG7AIU/abe33cc2-a5bf-4cf0-8d1d-2f9e6bfe994a/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-HZVG7AIU/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-HZVG7AIU"}}}}