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master's thesis
Određivanje optimalnog rješenja problema premještanja kauča
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:532009
Glasnović, Lea
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Glasnović, L. (2023). Određivanje optimalnog rješenja problema premještanja kauča (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:532009

Glasnović, Lea. "Određivanje optimalnog rješenja problema premještanja kauča." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:532009

Glasnović, Lea. "Određivanje optimalnog rješenja problema premještanja kauča." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:532009

Glasnović, L. (2023). 'Određivanje optimalnog rješenja problema premještanja kauča', Master's thesis, University of Zagreb, Faculty of Science, accessed 17 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:532009

Glasnović L. Određivanje optimalnog rješenja problema premještanja kauča [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 May 17] Available at: https://urn.nsk.hr/urn:nbn:hr:217:532009

L. Glasnović, "Određivanje optimalnog rješenja problema premještanja kauča", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:532009

Metadata
TitleOdređivanje optimalnog rješenja problema premještanja kauča
Title (english)Determining the optimal solution to the problem of moving the couch
AuthorLea Glasnović
MentorMarko Erceg (mentor)
Committee memberMarko Erceg (predsjednik povjerenstva)
Committee memberFilip Najman (član povjerenstva)
Committee memberGoran Radunović (član povjerenstva)
Committee memberDijana Ilišević (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu dublje istražujemo problem pomicanja kauča, matematičku enigmu koju je prvi put postavio austrijsko-kanadski matematičar Leo Moser 1966. godine. Počevši od ranih pokušaja rješavanja, kao što je Hammersleyev model, prelazimo na revolucionarni Gerverov pristup koji je znatno utjecao na daljnje istraživanje u ovom području. Suvremene perspektive, predstavljene kroz rad Dana Romika, uvode nove koncepte i metode, uključujući rotacijske putanje i kontaktne točke, koji dodatno kompliciraju problem, ali istovremeno nude nove pravce za rješenje. Osim toga, rad se bavi i ambideksternom varijantom problema, koja predstavlja dodatni sloj izazova i komplikacija. Kroz detaljnu analizu geometrijskih i algebarskih svojstava, rad pruža sveobuhvatan pregled ovog fascinantnog i još uvijek nerješenog problema, s fokusom na otvorena pitanja i mogućnosti za buduća istraživanja.
Abstract (english)
In this thesis, we delve deeply into the Moving Sofa Problem, a mathematical enigma first posed by Austrian-Canadian mathematician Leo Moser in 1966. Starting with early attempts at solving the problem, such as Hammersley’s model, we transition to the groundbreaking approach by Gerver, which has significantly influenced further research in this field. Contemporary perspectives, represented through the work of Dan Romik, introduce new concepts and methods, including rotational paths and contact points, that both complicate the issue and offer fresh avenues for resolution. Additionally, the paper explores the ambidextrous variant of the problem, adding an extra layer of challenges and complexities. Through a detailed analysis of geometric and algebraic properties, this paper provides a comprehensive overview of this fascinating yet unsolved problem, with a focus on open questions and avenues for future research.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:532009
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-02-01 10:38:55