MATEMATIČNI ORIGAMI * POLIEDRI - · PDF fileROBOVI 12 PREPOGNI IN RAZPRI PREPOGNI IN RAZPRI...

MATEMATIČNI ORIGAMI* POLIEDRI *

MATHEMA Zavod za popularizacijo matematike

www.mathema.si

1

Literatura:

1. Miyuki Kawamura: Polyhedron origami for beginners2. www.mathema.si

MATHEMA, Zavod za popularizacijo matematike, www.mathema.si

Origami (折り紙 ?, from ori meaning "folding", and kami

meaning "paper"; kami changes to gami due to rendaku) is thetraditional Japanese art of paper folding, which started in the17th century AD at the latest and was popularized outside ofJapan in the mid-1900s. It has since then evolved into amodern art form. The goal of this art is to transform a flatsheet of paper into a finished sculpture through folding andsculpting techniques, and as such the use of cuts or glue arenot considered to be origami. Paper cutting and gluing isusually considered kirigami.The number of basic origami folds is small, but they can beThe number of basic origami folds is small, but they can becombined in a variety of ways to make intricate designs. Thebest known origami model is probably the Japanese papercrane. In general, these designs begin with a square sheet ofpaper whose sides may be different colors or prints.Traditional Japanese origami, which has been practiced sincethe Edo era (1603–1867), has often been less strict aboutthese conventions, sometimes cutting the paper or usingnonsquare paper.

Vir: Wikipedia

Prepogni nazaj

Razreži

Povečaj

Pomanjšaj

Razpri

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Prepogni nazaj

VstaviZdruži črni piki.Prepogib prični pri znaku

Obrni list

Zavrti list

Prepogni naprej


DVANAJSTEREC(DODEKAEDER)

DVAJSETERC(IKOZAEDER)

OSMEREC(OKTAEDER)

KOCKA

ČETVEREC(TETRAEDER)


ČETVEREC - TETRAEDER


OGLIŠČA

4PREPOGNI IN RAZPRI PREPOGNI

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MODULARNI ORIGAMI: 20 LISTOV

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OSMEREC - OKTAEDER


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33MATHEMA, Zavod za popularizacijo matematike, www.mathema.si

MODULARNI ORIGAMI: 6 LISTOV

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SESTAVI

MATHEMA, Zavod za popularizacijo matematike, www.mathema.si MATHEMA, Zavod za popularizacijo matematike, www.mathema.si

http://www.youtube.com/watch?v=FkCWqYOTn6c&feature=fvwrel

http://www.youtube.com/watch?v=BzOV_zrNaBg&feature=related

NAVODILA

http://www.youtube.com/watch?v=qE_wBl-vkug&feature=related

PRAVILNI LIKI


KVADRAT (1)


KVADRAT (2)


PRAVOKOTNIK (1)


PRAVOKOTNIK (2)


PRAVOKOTNIO TRIKOTNIK


ENAKOKRAKI TRIKOTNIK


ENAKOSTRANIČNI TRIKOTNIK


ROMB


PETKOTNIK


ŠESTKOTNIK


OSEMKOTNIK


OGLIŠČAOGLIŠČE (2)

OGLIŠČE (3)OGLIŠČE (1)

OGLIŠČE (2)OGLIŠČE (1) OGLIŠČE (3)

OGLIŠČE (1)


OGLIŠČE (2)


OGLIŠČE (3)


https://docs.google.com/viewer?a=v&q=cache:96Jdf8kQvesJ:www.spiritmag.com/uploads/pdf/fun/0610_folding_money.pdf+&hl=en&gl=us&pid=bl&srcid=ADGEESi8zCP9yioRYJjLU4WdLXxsxMmnKRH-SIHy8OjfXFKQJjsKS9j3DOj11tKPwCK4cR


SIHy8OjfXFKQJjsKS9j3DOj11tKPwCK4cRmjtiE9iYGnEs6Ce5VmWuYfB1_jgoxxjjV8okK9UYJWonOH_DoGU4U7k0lRZEjMMwfE3x2k&sig=AHIEtbTP3eGSQtYvm7k8OVeCfFDfO5uAzA&pli=1

http://www.youtube.com/watch?v=5xlVUG8qrWM&feature=related

http://hektor.umcs.lublin.pl/~mikosmul/origami/balls.html


qrWM&feature=related

http://www.youtube.com/watch?v=0AuKFeDfWHk&feature=relmfu

http://www.youtube.com/watch?v=E9I-Onwfqpo&feature=related

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