Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces

The mechanisms behind origami having saddle shapes made from concentrically pleated squares remain elusive. Here, the authors connect geometry and mechanics to show that this type of origami is invariantly a hyperbolic paraboloid that exhibits bistability between two symmetric configurations.

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Autores principales:	Ke Liu, Tomohiro Tachi, Glaucio H. Paulino
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2019
Materias:	Science Q
Acceso en línea:	https://doaj.org/article/c58bc7b9a07b462bbfb35f1608bee965
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spelling	oai:doaj.org-article:c58bc7b9a07b462bbfb35f1608bee9652021-12-02T17:02:15ZInvariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces10.1038/s41467-019-11935-x2041-1723https://doaj.org/article/c58bc7b9a07b462bbfb35f1608bee9652019-09-01T00:00:00Zhttps://doi.org/10.1038/s41467-019-11935-xhttps://doaj.org/toc/2041-1723The mechanisms behind origami having saddle shapes made from concentrically pleated squares remain elusive. Here, the authors connect geometry and mechanics to show that this type of origami is invariantly a hyperbolic paraboloid that exhibits bistability between two symmetric configurations.Ke LiuTomohiro TachiGlaucio H. PaulinoNature PortfolioarticleScienceQENNature Communications, Vol 10, Iss 1, Pp 1-10 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q Ke Liu Tomohiro Tachi Glaucio H. Paulino Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
description	The mechanisms behind origami having saddle shapes made from concentrically pleated squares remain elusive. Here, the authors connect geometry and mechanics to show that this type of origami is invariantly a hyperbolic paraboloid that exhibits bistability between two symmetric configurations.
format	article
author	Ke Liu Tomohiro Tachi Glaucio H. Paulino
author_facet	Ke Liu Tomohiro Tachi Glaucio H. Paulino
author_sort	Ke Liu
title	Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
title_short	Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
title_full	Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
title_fullStr	Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
title_full_unstemmed	Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
title_sort	invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces
publisher	Nature Portfolio
publishDate	2019
url	https://doaj.org/article/c58bc7b9a07b462bbfb35f1608bee965
work_keys_str_mv	AT keliu invariantandsmoothlimitofdiscretegeometryfoldedfrombistableorigamileadingtomultistablemetasurfaces AT tomohirotachi invariantandsmoothlimitofdiscretegeometryfoldedfrombistableorigamileadingtomultistablemetasurfaces AT glauciohpaulino invariantandsmoothlimitofdiscretegeometryfoldedfrombistableorigamileadingtomultistablemetasurfaces
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Invariant and smooth limit of discrete geometry folded from bistable origami leading to multistable metasurfaces

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