3365 KB43 KB200820252014Gévay, GáborPisanski, Tomažštevilka:2letnik:7str. 317-336COBISSID:16868185ISSN:1855-3966URN:URN:NBN:SI:doc-GWHNP279enDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaClifford configurationCliffordova konfiguracijaDanzer configurationDanzerjeva konfiguracijageneralized cuboctahedron graphgrafi z enotsko razdaljoisometric point-circle configurationKronecker coverKroneckerjev krovunit-distance graphV-constructionV-konstrukcijaKronecker covers, V-construction, unit-distance graphs and isometric point-circle configurations|We call a convex polytope ?$P$? of dimension 3 admissible if it has the following two properties: (1) for each vertex of ?$P$? the set of its first-neighbours is coplanar; (2) all planes determined by the first-neighbours are distinct. It is shown that the Levi graph of a point-plane configuration obtained by ?$V$?-construction from an admissible polytope ?$P$? is the Kronecker cover of the 1-skeleton of ?$P$?. We investigate the combinatorial nature of the ?$V$?-construction and use it on unit-distance graphs to construct novel isometric point-circle configurations. In particular, we present an infinite series all of whose members are subconfigurations of the renowned Clifford configurationsTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije