{"?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-23K10GYH/0bc9d2ce-b271-4706-ac00-344870290be3/PDF","dcterms:extent":"376 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-23K10GYH/aefea9cf-bf54-4ae5-91e4-64f3d018b1ed/TEXT","dcterms:extent":"35 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-23K10GYH","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":["Drach, Kostiantyn","Mixer, Mark"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:9"},{"@xml:lang":"sl","#text":"str. 77-91"}],"dc:identifier":["COBISSID:17580889","ISSN:1855-3966","URN:URN:NBN:SI:doc-23K10GYH"],"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":"Eisenstein integers"},{"@xml:lang":"sl","#text":"Eisensteinova cela števila"},{"@xml:lang":"en","#text":"Gaussian integers"},{"@xml:lang":"sl","#text":"Gaussova cela števila"},{"@xml:lang":"en","#text":"minimal covers"},{"@xml:lang":"sl","#text":"minimalni krovi"},{"@xml:lang":"en","#text":"regular maps"},{"@xml:lang":"sl","#text":"regularni zemljevidi"},{"@xml:lang":"sl","#text":"rotarijski zemljevidi"},{"@xml:lang":"en","#text":"rotary maps"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Minimal covers of equivelar toroidal maps|"},"dc:description":[{"@xml:lang":"sl","#text":"Given any equivelar map on the torus, it is natural to consider its covering maps. The most basic of these coverings are finite toroidal maps or infinite tessellations of the Euclidean plane. In this paper, we prove that each equivelar map on the torus has a unique minimal toroidal rotary cover and also a unique minimal toroidal regular cover. That is to say, of all the toroidal rotary (or regular) maps covering a given map, there is a unique smallest. Furthermore, using the Gaussian and Eisenstein integers, we construct these covers explicitly"},{"@xml:lang":"sl","#text":"Če imamo dan poljuben ekvivelaren zemljevid na torusu, se je naravno vprašati po njegovih krovnih zemljevidih. Najosnovnejši od teh krovov so končni toroidni zemljevidi ali neskončna tlakovanja evklidske ravnine. V članku dokažemo, da ima vsak ekvivelaren zemljevid na torusu enoličen minimalen toroiden rotarijski krov in tudi enoličen minimalen toroiden regularen krov. To pomeni, da je med vsemi toroidnimi rotarijskimi (ali regularnimi) zemljevidi, ki so krovi danega zemljevida, en sam najmanjši. Nadalje, z uporabo Gaussovih in Eisensteinovih celih števil, konstruiramo te krove eksplicitno"}],"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-23K10GYH","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-23K10GYH"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-23K10GYH/0bc9d2ce-b271-4706-ac00-344870290be3/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-23K10GYH/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-23K10GYH"}}}}