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master's thesis
Podjela na jednake dijelove pomoću origamija
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:497918
Bunetić, Maja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bunetić, M. (2020). Podjela na jednake dijelove pomoću origamija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:497918

Bunetić, Maja. "Podjela na jednake dijelove pomoću origamija." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:497918

Bunetić, Maja. "Podjela na jednake dijelove pomoću origamija." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:497918

Bunetić, M. (2020). 'Podjela na jednake dijelove pomoću origamija', Master's thesis, University of Zagreb, Faculty of Science, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:497918

Bunetić M. Podjela na jednake dijelove pomoću origamija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:217:497918

M. Bunetić, "Podjela na jednake dijelove pomoću origamija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:497918

Metadata
TitlePodjela na jednake dijelove pomoću origamija
AuthorMaja Bunetić
MentorFranka Miriam Bruckler (mentor)
Committee memberFranka Miriam Bruckler (predsjednik povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberSnježana Lubura Strunjak (član povjerenstva)
Committee memberVanja Wagner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-02-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu opisane su metode podjele dužina i kutova na jednake dijelove pomoću presavijanja papira bez rezanja i lijepljenja, tj. pomoću origamija. Rad je podijeljen na četiri poglavlja. U prvom poglavlju su opisane i analizirane egzaktne podjele dužine na jednake dijelove, a to su binarna podjela, metoda dijagonala, metoda rubova i Noma-ova metoda. Drugo poglavlje rada bavi se aproksimativnim podjelama dužina na jednake dijelove: Fujimotova aproksimacija i binarna aproksimacija. U trećem poglavlju opisujemo podjele pravog kuta na jednake dijelove kao i neke dodatne konstrukcije kutova, a detaljno je opisana i trisekcija proizvoljnog šiljastog kuta koja je izvediva unutar sustava akisoma origamija iako nije izvediva euklidskim konstrukcijama. Naposljetku, u četvrtom kratkom poglavlju kratko se osvrćemo na primjene origamija u nastavi matematike.
Abstract (english)
This thesis describes various methods for dividing a segment or an angle into equal parts using origami. It is divided into four chapters. In the first chapter we describe methods for dividing a segment into equal parts by exact constructions. These methods are: binary division, diagonal method, edge method and Noma’s method. The second chapter is about approximative methods: Fujimoto approximation and binary approximation of dividing a segment into equal parts. The third chapter concerns divisions of a right angle and some other angle constructions, as well as the description and analysis of trisecting an angle. The last short chapter concludes this thesis by describing some ideas on using origami in the mathematics classroom.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:497918
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-07-22 11:04:03