Origami - Icosaedro Triâmbico Pequeno Sem os Topos das Pirâmides ( Small Triambic Icosahedron Without the Tops of Pyramids )




Icosaedro
cosaedro triambico pequeno 02, modificado

Icosaedro Triâmbico Pequeno
icosaedro triambico pequeno 01, modificado




Observação: Achei esse origami há muito tempo atrás no facebook, mas não sei seu nome (por isso inventei) ou o autor, apenas descobri que o módulo já existia há muito tempo num livro do Kunihiko Kasahara

Potencial do Módulo


Este icosidodecaedro, estrelado apenas nos pentágonos, foi feito pelo Modart, do blog Atelier Modart, usando o mesmo módulo (com seu meio em dobra montanha). Se elel fosse estrelado também nos triângulos seria o Primeiro Composto de Dodecaedro e Icosaedro (Primeiro Estrelamento de Icosidodecaedro). Veja a dica que ele me deu de como fez o origami:

"... about it I don't know if is correctly named stellated icosidodecahedron?!...green units make an icosidodecahedron (60 units) and from the angles of each pentagon(12) are connected 5 units(yellow) that form the top of a piramid (this is the rule of construction)...so are necessary 60 + 5X12=120 units!I used 9 cm for squares modules. First start with a pentagon with the five star piramid,than make the triangles on each lateral of the pentagon,etc,etc"

" Now I observed...if you look at yellow part ,it is an icosahedron!!!And each triangle surface is divided in four small triangles!!!At center are green triangles! This is another rule of construction...so it is just an icosahedron with diveded surfaces!!! "


Fontes (Sources):
http://www.facebook.com/photo.php?fbid=1214167848165&set=a.1214166088121.26274.1647876803&ref=nf#!/photo.php?fbid=1214167848165&set=a.1214166088121.26274.1647876803&pid=466454&id=1647876803
http://rat86.netsons.org/blog/2009/09/origami-geometrici-2/
http://www.korthalsaltes.com/index.html

Icosaedro
https://math-e-motion.wikispaces.com/file/view/621px-Icosahedron.jpg/34423411/621px-Icosahedron.jpg
http://mathworld.wolfram.com/Icosahedron.html

Icosaedro Triâmbico Pequeno
(small triambic icosahedron)
http://mathworld.wolfram.com/Icosahedron.html
http://mathworld.wolfram.com/PolyhedronEdge.html
http://mathworld.wolfram.com/SmallTriambicIcosahedron.html
http://en.wikipedia.org/wiki/Small_triambic_icosahedron

Triakis icosahedron
(sólido de catalão: mesmo que o Icosaedro Triâmbico Pequeno, mas os triângulos são isósceles)
http://en.wikipedia.org/wiki/Triakis_icosahedron
http://en.wikipedia.org/wiki/Small_triambic_icosahedron

Icosahedron Stellation
http://mathworld.wolfram.com/IcosahedronStellations.html

Great Stellated Dodecahedron
as pontas formam um dodecaedro (12 pentágonos), mas a base é um icosaedro (20 triângulos)
http://mathworld.wolfram.com/GreatStellatedDodecahedron.html

Icosidodecaedro - livro Histórias da Geometria - Poliedros
http://www.apm.pt/apm/amm/paginas/231_249.pdf

Stellations of icosidodecahedron
http://en.wikipedia.org/wiki/List_of_Wenninger_polyhedron_models
http://en.wikipedia.org/wiki/Compound_of_dodecahedron_and_icosahedron

Módulo: livro (book): Kunihiko Kasahara - Amazing Origami

3 comentários:

  1. O vermelho ficou divino... Amei

    Parabens

    Bjs

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  2. I worked with this unit many years ago for a complex and beautiful polihedron.(stellated icosidodecahedron?)On my blog you can see it at"decor colt camera",the central piece of the arangement.
    Joyful colours in your model!

    ResponderExcluir
  3. Normally I don't learn post on blogs, however I wish to say that this write-up very compelled me to take a look at and do it! Your writing style has been amazed me. Thank you, very nice article.
    Here is my blog ... domain

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