20.500.12556/RUL-128910 Oktaedrske mnogoterosti delo diplomskega seminarja Octahedral manifolds V tem delu predstavimo mnogoterosti, ki jih lahko dobimo s štirimi lepljenji po dveh lic oktaedra. Ker nastali takšni zlepki niso vedno mnogoterosti, vpeljemo pojem prisekanega oktaedra in obravnavamo lepljenja njegovih šestkotnih lic. Najprej se osredotočimo na analogna lepljenja mnogokotnikov v kompaktne sklenjene ploskve. Nastale mnogoterosti iz prisekanega oktaedra ločimo glede na njihov rob in za vsak rob zabeležimo eno lepljenje v mnogoterost z izbranim robom. In this work, we present the manifolds that can be obtained by gluing together in pairs the faces of an octahedron. Since the resulting gluings are not always manifolds, we introduce the notion of a truncated octahedron and consider the gluings of its hexagonal faces. We first focus on analogous gluings of polygons into compact surfaces without boundary. The resulting manifolds obtained from the truncated octahedron are separated according to their boundary, and for each boundary we present one gluing into the manifold with the selected boundary. oktaeder mnogoterost lepljenje homeomorfizem rob kvocientni prostor orientacija ploskev octahedron manifold gluing homeomorphism boundary quotient space orientation surface true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2021-08-15 08:15:02 2021-08-15 08:15:06 2024-05-29 14:06:53 0000-00-00 00:00:00 2021 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.1 118752 73955075 2751.pdf 2751.pdf 1 69E57988CED0DCF18CD6DC559E285F79 159fca92aedbde827da21b0103980b6a23742402cc743c2795649a7618982970 eed24940-fd8f-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145816 Fakulteta za matematiko in fiziko 0 0 0