Hagovi izreki za srebrne pravokotnike

Abstract

Keywords

Data

Language:	Slovenian
Year of publishing:	2013
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[P. Lavrič]
UDC:	51(043.2)
COBISS:	9646921
Views:	879
Downloads:	214
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary title:	Haga's theorems for silver rectangles
Secondary abstract:	In my diploma thesis I have presented a connection between mathematics and art of origami. I have stated the mathematical axioms for the paper folding which link the folding with basic plane geometry. The axioms were then used for proving generalized Haga statements which define the manner of folding the sheet of paper to achieve a division of the paper edges in certain length ratios. The Haga statements were first applied on a square sheet but in their generalized form they can be used also on the sheets of paper with the length edge ratios of . An example of this kind of paper is also A4 paper which was used for presenting the way how to divide the paper in odd equal parts. Additionally, I have also described a procedure for building a box out of the A4 paper. Both examples are very educational and can be used in school classes.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Pages:	VIII f., 61 str.
Type (ePrints):	thesis
Title (ePrints):	Haga's theorems for silver rectangles
Keywords (ePrints):	srebrni pravokotnik
Keywords (ePrints, secondary language):	paper with silver ratio of sides
Abstract (ePrints):	V svojem diplomskem delu sem predstavila povezavo med matematko in umetnostjo origamija. Opisala sem matematične aksiome, ki povezujejo prepogibe listov papirja z osnovami ravninske geometrije, ter jih uporabila za dokazovanje posplošenih Hagovih izrekov za natančno razdelitev robov v posebnih dolžinskih razmerjih. Hagovi izreki so bili določeni za kvadratne liste papirja, v svoji posplošeni obliki pa veljajo tudi za pravokotne, ki imajo razmerje dolžine stranic . Primer lista z omenjenim razmerjem je tudi list formata A4, s katerim sem predstavila razdelitev lista na liho število delov. Poleg omenjene delitve lista sem za praktičen primer uporabe vsebine diplome v šoli izpeljala še postopek za izdelavo škatlice.
Abstract (ePrints, secondary language):	In my diploma thesis I have presented a connection between mathematics and art of origami. I have stated the mathematical axioms for the paper folding which link the folding with basic plane geometry. The axioms were then used for proving generalized Haga statements which define the manner of folding the sheet of paper to achieve a division of the paper edges in certain length ratios. The Haga statements were first applied on a square sheet but in their generalized form they can be used also on the sheets of paper with the length edge ratios of . An example of this kind of paper is also A4 paper which was used for presenting the way how to divide the paper in odd equal parts. Additionally, I have also described a procedure for building a box out of the A4 paper. Both examples are very educational and can be used in school classes.
Keywords (ePrints, secondary language):	paper with silver ratio of sides
ID:	8311444