{"?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-7AH7S5PN/8a2a7621-6351-4901-8094-3b161fd9d08f/PDF","dcterms:extent":"460 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-7AH7S5PN/7f82cd62-328c-4c00-b62d-0dec0618b41d/TEXT","dcterms:extent":"30 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-7AH7S5PN","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":["Berman, Leah","Hoef, Lander Ver","Jacksch, Elliott"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 411-425"}],"dc:identifier":["COBISSID:17835609","ISSN:1855-3966","URN:URN:NBN:SI:doc-7AH7S5PN"],"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":"configurations"},{"@xml:lang":"en","#text":"incidence geometry"},{"@xml:lang":"sl","#text":"incidenčna geometrija"},{"@xml:lang":"sl","#text":"konfiguracije"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"An infinite class of movable 5-configurations|"},"dc:description":[{"@xml:lang":"sl","#text":"A geometric 5-configuration is a collection of points and straight lines, typically in the Euclidean plane, in which every point has 5 lines passing through it and every line has 5 points lying on it; that is, it is an ?$(n_5)$? configuration for some number ?$n$? of points and lines. Using reduced Levi graphs and two elementary geometric lemmas, we develop a construction that produces infinitely many new 5-configurations which are movable; in particular, we produce infinitely many 5-configurations with one continuous degree of freedom, and we produce 5-configurations with ?$k-2$? continuous degrees of freedom for all odd ?$k > 2$?"},{"@xml:lang":"sl","#text":"Geometrijska 5-konfiguracija je sestav točk in premic v evklidski ravnini, v kateri gre skozi vsako točko 5 premic, na vsaki premici pa leži 5 točk; to je torej ?$(n_5)$? kon- figuracija za neko število ?$n$? točk in premic. Z uporabo reduciranih Levijevih grafov in dveh elementarnih geometrijskih lem razvijemo konstrukcijo, ki nam da neskončno mnogo novih in gibljivih 5-konfiguracij; na ta način dobimo neskončno mnogo 5-konfiguracij z eno zvezno prostostno stopnjo, pa tudi 5-konfiguracije s ?$k - 2$? zveznimi prostostnimi stopnjami za vse lihe ?$k > 2$?"}],"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-7AH7S5PN","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-7AH7S5PN"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-7AH7S5PN/8a2a7621-6351-4901-8094-3b161fd9d08f/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-7AH7S5PN/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-7AH7S5PN"}}}}