20.500.12556/RUL-153457 Modeli hiperbolične geometrije in njihova vizualizacija magistrsko delo Models of hyperbolic geometry and their visualisation Magistrsko delo v prvem delu vsebuje predstavitev osnovnih lastnosti hiperbolične geometrije. Predstavljeni so vsi trije njeni glavni modeli in osnovne geometrijske značilnosti posameznega modela. Delo obravnava tudi vrste tlakovanj, nato pa na kratko povzema tlakovanje Poincaréjevega diska in opisuje izpeljavo tlakovanja polsfernega modela hiperbolične geometrije. V nadaljevanju pa je predstavljen potek modeliranja in tiskanja 3D modelov, od pravilnih poliedrov do tlakovane hiperbolične polsfere. Dodane so izpeljave predpisov projekcij, ki izvirajo iz senčenja tiskanega 3D modela tlakovane polsfere. The first part of the master's thesis includes the presentation of the basic characteristics of the hyperbolic geometry including all three main models and basic geometry characteristics of each model. The thesis also covers the types of tessellations and then briefly summarises tessellation of Poincare’s discus and describes the derivationof semispheric model tessellation of the hyperbolic geometry. Furthermore the course of modelling and 3D model printing is presented, spanning from regular polyhedra to tesselled hyperbolic semisphere. The derivation of projection regulations are added, which derive from shadowing of the 3D model of a tessellated semisphere. geometrija hiperbolična geometrija 3D model vizualizacija geometry hyperbolic geometry 3D model visualisation true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2024-01-07 08:15:33 2024-01-07 08:15:35 2024-05-29 09:43:50 0000-00-00 00:00:00 2024 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 139669 179957251 11979.pdf 11979.pdf 1 CE04932C25E64789A193DD8BEB4F0F69 40bf425276ba20eaacca9ce09c4301a68a76247229b2efedaaa14067a63121fd 8ff71dd5-ad2c-11ee-8aaa-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=179451 Fakulteta za matematiko in fiziko 0 0 0