{"?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-3L43F00W/79d94205-b3fe-4c85-8bd3-161f4280c268/PDF","dcterms:extent":"2731 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-3L43F00W/4e781177-9337-4584-8572-271ffec0daba/TEXT","dcterms:extent":"28 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-3L43F00W","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":["Avelino, Catarina P.","Santos, Altino F."],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 419-443"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18793561","URN:URN:NBN:SI:doc-3L43F00W"],"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":"combinatorial properties"},{"@xml:lang":"sl","#text":"diedrska f-tlakovanja"},{"@xml:lang":"en","#text":"dihedral f-tilings"},{"@xml:lang":"sl","#text":"kombinatorične lastnosti"},{"@xml:lang":"sl","#text":"sferična trigonometrija"},{"@xml:lang":"sl","#text":"simetrijske grupe"},{"@xml:lang":"en","#text":"spherical trigonometry"},{"@xml:lang":"en","#text":"symmetry groups"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Ssup2 coverings by isosceles and scalene triangles - adjacency case I|"},"dc:description":[{"@xml:lang":"sl","#text":"The aim of this paper is the study and classification of spherical f-tilings by scalene triangles ?$T$? and isosceles triangles ?$T'$?. Due to the complexity of this wide class of tilings, we consider a subclass performed by the adjacency of the shortest side of ?$T$? and the longest side of ?$T'$?. It consists of seven families of f-tilings (four families with one discrete parameter and one continuous parameter, two families with one discrete parameter and one sporadic f-tiling). We also analyze the combinatorial structure of all these families of f-tilings, as well as the group of symmetries of each tiling and the transitivity classes of isohedrality and isogonality"},{"@xml:lang":"sl","#text":"Cilj tega članka je raziskovanje in klasifikacija sferičnih f-tlakovanj z raznostraničnimi trikotniki ?$T$? in enakokrakimi trikotniki ?$T'$?. Zaradi kompleksnosti tega širokega razreda tlakovanj obravnavamo podrazred, določen s sosednostjo najkrajše stranice trikotnika ?$T$? in najdaljše stranice trikotnika ?$T'$?. Sestoji iz sedmih družin f-tlakovanj (štirih družin z enim diskretnim parametrom in enim zveznim parametrom, dveh družin z enim diskretnim parametrom ter enega sporadičnega f-tlakovanja). Analiziramo tudi kombinatorično strukturo vseh teh družin f-tlakovanj, pa tudi grupo simetrij vsakega tlakovanja in tranzitivnostne razrede izoedrskosti in izogonalnosti"}],"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-3L43F00W","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-3L43F00W"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-3L43F00W/79d94205-b3fe-4c85-8bd3-161f4280c268/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-3L43F00W/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-3L43F00W"}}}}