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Kam postaviti oznako večkotnika? = Where should the label for a polygon be placed? : magistrsko delo : na študijskem programu 2. stopnje Izobraževalna matematika
Božič, Aljaž, kemik in matematik
V magistrskem delu se najprej seznanimo s trilinearnimi in baricentričnimi koordinatami. Nato spoznamo izotomično in izogonalno transformacijo. Po uvodnih pojmih je podrobneje opisan problem, ki ga ...rešujemo postopoma. Začnemo z najenostavnejšimi liki, katerih geometrijo dokaj dobro poznamo. Pri iskanju točke, ki bi bila primerna za postavitev oznake večkotnika, naletimo na ogromno kandidatov, vendar se izkaže, da jih ima večina določene pomanjkljivosti. Po opisanem postopku iskanja primerne točke in nekaj primerih se spet vrnemo k trikotniku, saj določimo algoritem, ki nas za poljubni večkotnik pripelje do točke, kjer moramo poiskati primerno točko prav v trikotniku. Tukaj se srečamo s trikotniku včrtanimi elipsami in najbolj značilne tudi opišemo. Posebej obravnavamo tudi Lemoinovo elipso in Spiekerjevo točko, kar je tudi rešitev našega problema.
Type of material - master's thesis
; adult, serious
Publication and manufacture - Maribor : [A. Božič], 2018
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