632 KB48 KB200820252025Leemans, DimitriToledo, Micaelštevilka:1, article p1.0417 str.letnik:25DOI:10.26493/1855-3974.3128.b29ISSN:1855-3966COBISSID_HOST:226080515URN:URN:NBN:SI:doc-UP0977P7enUniverza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologijeArs mathematica contemporaneafaithfulmaniplexespolytopesregular coversthinFaithful and thin non-polytopal maniplexes|Maniplexes are coloured graphs that generalise maps on surfaces and abstract polytopes. Each maniplex uniquely defines a partially ordered set that encodes information about its structure. When this poset is an abstract polytope, we say that the associated maniplex is polytopal. Maniplexes that have two properties, called faithfulness and thinness, are completely determined by their associated poset, which is often an abstract polytope. We show that all faithful thin maniplexes of rank three are polytopal. So far only one example, of rank four, of a thin maniplex that is not polytopal was known. We construct the first infinite family of maniplexes that are faithful and thin but are non-polytopal for all ranks greater than threeTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije