prikaz prve stranice dokumenta Grupe mozaika
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master's thesis
Grupe mozaika
2018. urn:nbn:hr:166:075134
Topić, Antea
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Topić, A. (2018). Grupe mozaika (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:075134

Topić, Antea. "Grupe mozaika." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:075134

Topić, Antea. "Grupe mozaika." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:075134

Topić, A. (2018). 'Grupe mozaika', Master's thesis, University of Split, Faculty of Science, accessed 19 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:075134

Topić A. Grupe mozaika [Master's thesis]. Split: University of Split, Faculty of Science; 2018 [cited 2024 November 19] Available at: https://urn.nsk.hr/urn:nbn:hr:166:075134

A. Topić, "Grupe mozaika", Master's thesis, University of Split, Faculty of Science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:075134

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Metadata
TitleGrupe mozaika
Title (english)Wallpaper groups
AuthorAntea Topić
MentorJoško Mandić (mentor)
Committee memberJoško Mandić (predsjednik povjerenstva)
Committee memberSnježana Braić (član povjerenstva)
Committee memberJelena Pleština (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2018-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Grupe mozaika su matematičke klasifikacije dvodimenzionalnog ponavljanja uzoraka koji je utemeljen na simetriji. Ovakvi, različiti uzorci upotrebljavaju se u raznim područjima, poput arhitekture ili pak dekorativne umjetnosti. Postoji sedamnaest međusobno različitih grupa mozaika. Ono što je potrebno naglasiti su rešetke samih mozaika koje mogu imati različite oblike pa se sukladno tome ističu: romboidna, pravokutna, centralno pravokutna, kvadratna te šesterokutna rešetka. Svaka od tih rešetki sadrži samo sebi svojstvene karakteristike koje određuju grupe mozaika. Okruženi smo raznim oblicima i uzorcima, a nismo niti svjesni da se zapravo radi o grupama mozaika. Grupe mozaika imaju odličan potencijal za animiranje učenika i dobar su način kako im dočarati koncepte geometrije, grupa i izomorfizama.
Abstract (english)
Wallpaper groups are mathematical classifications of two-dimensional recurring samples which are based on simetry. Different samples like these are used in different fields like architecture or decorative art. There are 17 different groups of mosaics. It's important to emphasise that lattices of said mosaics can have different shapes and as such can be oblique, rectangular, centred rectangular, square and hexagonal. Each of these lattices has its own set of characteristics which define the mosaic group. We are surrounded with different shapes and patterns yet we are unaware that they are in fact wallpaper groups. Wallpaper groups have excellent potential for immersing students in the class and they are a great way to make them understand the concepts of geometry, groups and isomorphisms.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:075134
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in teaching
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 conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-02-11 15:08:46