0 KB635 KB14 KB200820252010Servatius, BrigitteServatius, Hermanštevilka:1letnik:3str. 21-27COBISSID:15499865ISSN:1855-3966URN:URN:NBN:SI:doc-5K1PGKZ1enDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneagenerična slikamatematikaReyjeva konfiguracijaThe generalized Reye configuration|Given an embedding in the plane of the vertices of a cube, we consider conditions on the embedded vertices such that they are the projection of the vertices of a 3 dimensional polyhedron combinatorially equivalent to the cube. We are particularly interested in conditions expressible as incidence conditions for the lines induced by the given vertex set in the plane. We show that the vertices and their incidences extend to a Reye configuration in the plane if and only if the vertices are the projection of a parallelepiped. More generally, the positions of the embedded vertices result from projecting a polyhedron combinatorially equivalent to the cube if and only if they belong to a plane configuration we call the generalized Reye configurationTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije