0 KB690 KB40 KB200820252012Monson, BarryPellicer, DanielWilliams, Gordon Ianštevilka:2letnik:5str. 355-370COBISSID:16438617ISSN:1855-3966URN:URN:NBN:SI:doc-9CLAKPQMenDruštvo matematikov, fizikov in astronomov SlovenijeArs mathematica contemporaneaabstract regular polytopesgraph theorypolitopiteorija grafovuniform polytopesThe tomotope|Every abstract 3-polytope ?$\mathcal{M}$?, in particular, every polyhedral map, has a unique minimal regular cover, and the automorphism group of this cover is isomorphic to the monodromy group of ?$\mathcal{M}$?. Here we demonstrate that the situation for polytopes of higher rank must be very different: the tomotope ?$\mathcal{T}$? is a small, highly involved, abstract uniform 4-polytope. It has infinitely many distinct minimal regular coversTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije