20.500.12556/RUL-168510 Simetrije ploskev Symmetries of surfaces V tej diplomski nalogi preučujemo simetrije topoloških ploskev, pri čemer se osredotočamo na orientabilne ploskve in njihovo algebraično strukturo. Raziskujemo, kako se simetrije manifestirajo skozi homeomorfizme in kako lahko z algebraičnimi metodami opišemo njihove lastnosti. Poseben poudarek je namenjen p-simetrijam, ki predstavljajo periodične simetrije reda p. Dokazujemo pogoje za njihov obstoj in preučujemo povezavo med rodom ploskev ter možnimi simetrijami. This thesis explores the symmetries of topological surfaces, focusing on orientable surfaces and their algebraic structure. We investigate how symmetries manifest through homeomorphisms and how algebraic methods can describe their properties. Special attention is given to p-symmetries, which represent periodic symmetries of order p. We establish conditions for their existence and examine the relationship between surface genus and possible symmetries. simetrija ploskve topologija homeomorfizmi symmetry surfaces topology homeomorphisms true false false Slovenski jezik Angleški jezik Diplomsko delo/naloga 2025-04-16 11:40:02 2025-04-16 11:40:06 2025-04-29 12:13:38 0000-00-00 00:00:00 2025 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 37681 234537987 Hrib_Ivo_-_Simetrije_ploskev.pdf Hrib_Ivo_-_Simetrije_ploskev.pdf 1 43A759EBCDF215EF63FFBCA95D089D4C f8cb2a26560c1441be21e69139a3a295f767b29d027ba9d2807eeeaf22cd1f87 a867b86f-1aa5-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=203516 Fakulteta za računalništvo in informatiko 0 0 0