Hagovi izreki za srebrne pravokotnike

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2013
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[P. Lavrič]
UDK:	51(043.2)
COBISS:	9646921
Št. ogledov:	879
Št. prenosov:	214
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Haga's theorems for silver rectangles
Sekundarni povzetek:	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.
Sekundarne ključne besede:	mathematics;matematika;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univ. Ljubljana, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Strani:	VIII f., 61 str.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Haga's theorems for silver rectangles
Ključne besede (ePrints):	srebrni pravokotnik
Ključne besede (ePrints, sekundarni jezik):	paper with silver ratio of sides
Povzetek (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.
Povzetek (ePrints, sekundarni jezik):	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.
Ključne besede (ePrints, sekundarni jezik):	paper with silver ratio of sides
ID:	8311444