{"?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-EXRZVOWD/bee333ed-8cae-41da-83e3-db4d62458fb6/PDF","dcterms:extent":"410 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EXRZVOWD/54d99f10-5900-4783-8def-35c3ccd650f0/TEXT","dcterms:extent":"34 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-EXRZVOWD","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":"Kovič, Jurij","dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 157-171"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18582105","URN:URN:NBN:SI:doc-EXRZVOWD"],"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":"boundary code"},{"@xml:lang":"en","#text":"face vector"},{"@xml:lang":"sl","#text":"pravilni večkotniški sistem"},{"@xml:lang":"en","#text":"reconstructibility from the boundary"},{"@xml:lang":"en","#text":"regular polygonal system"},{"@xml:lang":"sl","#text":"rekonstruktibilnost iz roba"},{"@xml:lang":"sl","#text":"robna koda"},{"@xml:lang":"sl","#text":"simetrijska grupa"},{"@xml:lang":"en","#text":"symmetry group"},{"@xml:lang":"sl","#text":"vektor lic"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Regular polygonal systems|"},"dc:description":[{"@xml:lang":"sl","#text":"Let ?$M = M(\\Omega)$? be any triangle-free tiling of a planar polygonal region with regular polygons. We prove that its face vector ?$f(M) = (f_{3},f_{4},f_{5}\\dots)$?, its symmetry group ?$S(M)$? and the tiling ?$M$? itself are uniquely determined by its boundary angles code ?$c_{a}(M) = c_{a}(\\Omega) = (t_{1},t_{2},\\dots, t_{r}$?, a cyclical sequence of numbers ?$t_{i}$?, describing the shape of ?$ (\\Omega)$?"},{"@xml:lang":"sl","#text":"Naj bo ?$M = M(\\Omega)$? poljubno tlakovanje ravninskega večkotniškega območja s pravilnimi večkotniki, med katerimi ni nobenih trikotnikov. Dokažemo, da so pripadajoči vektor lic ?$f(M) = (f_{3},f_{4},f_{5}\\dots)$?, simetrijska grupa ?$S(M)$? in samo tlakovanje ?$M$? enolično določeni z robno kodo ?$c_{a}(M) = c_{a}(\\Omega) = (t_{1},t_{2},\\dots, t_{r}$?, cikličnim zaporedjem števil ?$t_{i}$?, ki opisuje obliko območja ?$ (\\Omega)$?"}],"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-EXRZVOWD","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-EXRZVOWD"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-EXRZVOWD/bee333ed-8cae-41da-83e3-db4d62458fb6/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-EXRZVOWD/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-EXRZVOWD"}}}}