{"?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-HFCV3M95/a2aad215-2a7a-48cd-afcf-6c913e29756b/PDF","dcterms:extent":"300 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-HFCV3M95/862d65cd-dd5c-4130-91a1-264b716a98b0/TEXT","dcterms:extent":"42 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-HFCV3M95","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2015","dc:creator":["Conder, Marston D. E.","Cunningham, Gabe"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:8"},{"@xml:lang":"sl","#text":"str. 69-82"}],"dc:identifier":["COBISSID:17368665","ISSN:1855-3966","URN:URN:NBN:SI:doc-HFCV3M95"],"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":"abstract regular polytope"},{"@xml:lang":"sl","#text":"abstrakten regularen politop"},{"@xml:lang":"sl","#text":"ekvivelaren politop"},{"@xml:lang":"en","#text":"equivelar polytope"},{"@xml:lang":"en","#text":"flat polytope"},{"@xml:lang":"sl","#text":"ploščat politop"},{"@xml:lang":"sl","#text":"tesen politop"},{"@xml:lang":"en","#text":"tight polytope"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Tight orientably-regular polytopes|"},"dc:description":[{"@xml:lang":"sl","#text":"It is known that every equivelar abstract polytope of type ?$\\{p_1, \\dots, p_{n - 1}\\}$? has at least ?$2p_1 \\cdots p_{n - 1}$? flags. Polytopes that attain this lower bound are called tight. Here we investigate the conditions under which there is a tight orientably-regular polytope of type ?$\\{p_1, \\dots, p_{n - 1}\\}$?. We show that it is necessary and sufficient that whenever ?$p_i$? is odd, both ?$p_{i - 1}$? and ?$p_{i + 1}$? (when defined) are even divisors of ?$2p_i$?"},{"@xml:lang":"sl","#text":"Znano je, da ima vsak ekvivelaren abstrakten politop tipa ?$\\{p_1, \\dots, p_{n - 1}\\}$? najmanj ?$2p_1 \\cdots p_{n - 1}$? praporov. Politopi, ki dosežejo to spodnjo mejo, se imenujejo tesni. Tukaj raziskujemo pogoje, pri katerih obstaja tesen orientabilno-regularen politop tipa ?$\\{p_1, \\dots, p_{n - 1}\\}$?. Pokažemo, da je potrebno in zadostno, da sta pri vsakem lihem številu ?$p_i$? tako ?$p_{i - 1}$? kot ?$p_{i + 1}$? (kadar sta definirana) soda delitelja števila ?$2p_i$?"}],"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-HFCV3M95","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-HFCV3M95"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-HFCV3M95/a2aad215-2a7a-48cd-afcf-6c913e29756b/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-HFCV3M95/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-HFCV3M95"}}}}