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Additive lattice kirigami

Kirigami uses bending, folding, cutting, and pasting to create complex three-dimensional (3D) structures from a flat sheet. In the case of lattice kirigami, this cutting and rejoining introduces defects into an underlying 2D lattice in the form of points of nonzero Gaussian curvature. A set of simpl...

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Detalles Bibliográficos
Autores principales: Castle, Toen, Sussman, Daniel M., Tanis, Michael, Kamien, Randall D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Association for the Advancement of Science 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5035127/
https://www.ncbi.nlm.nih.gov/pubmed/27679822
http://dx.doi.org/10.1126/sciadv.1601258
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author Castle, Toen
Sussman, Daniel M.
Tanis, Michael
Kamien, Randall D.
author_facet Castle, Toen
Sussman, Daniel M.
Tanis, Michael
Kamien, Randall D.
author_sort Castle, Toen
collection PubMed
description Kirigami uses bending, folding, cutting, and pasting to create complex three-dimensional (3D) structures from a flat sheet. In the case of lattice kirigami, this cutting and rejoining introduces defects into an underlying 2D lattice in the form of points of nonzero Gaussian curvature. A set of simple rules was previously used to generate a wide variety of stepped structures; we now pare back these rules to their minimum. This allows us to describe a set of techniques that unify a wide variety of cut-and-paste actions under the rubric of lattice kirigami, including adding new material and rejoining material across arbitrary cuts in the sheet. We also explore the use of more complex lattices and the different structures that consequently arise. Regardless of the choice of lattice, creating complex structures may require multiple overlapping kirigami cuts, where subsequent cuts are not performed on a locally flat lattice. Our additive kirigami method describes such cuts, providing a simple methodology and a set of techniques to build a huge variety of complex 3D shapes.
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spelling pubmed-50351272016-09-27 Additive lattice kirigami Castle, Toen Sussman, Daniel M. Tanis, Michael Kamien, Randall D. Sci Adv Research Articles Kirigami uses bending, folding, cutting, and pasting to create complex three-dimensional (3D) structures from a flat sheet. In the case of lattice kirigami, this cutting and rejoining introduces defects into an underlying 2D lattice in the form of points of nonzero Gaussian curvature. A set of simple rules was previously used to generate a wide variety of stepped structures; we now pare back these rules to their minimum. This allows us to describe a set of techniques that unify a wide variety of cut-and-paste actions under the rubric of lattice kirigami, including adding new material and rejoining material across arbitrary cuts in the sheet. We also explore the use of more complex lattices and the different structures that consequently arise. Regardless of the choice of lattice, creating complex structures may require multiple overlapping kirigami cuts, where subsequent cuts are not performed on a locally flat lattice. Our additive kirigami method describes such cuts, providing a simple methodology and a set of techniques to build a huge variety of complex 3D shapes. American Association for the Advancement of Science 2016-09-23 /pmc/articles/PMC5035127/ /pubmed/27679822 http://dx.doi.org/10.1126/sciadv.1601258 Text en Copyright © 2016, The Authors http://creativecommons.org/licenses/by-nc/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license (http://creativecommons.org/licenses/by-nc/4.0/) , which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited.
spellingShingle Research Articles
Castle, Toen
Sussman, Daniel M.
Tanis, Michael
Kamien, Randall D.
Additive lattice kirigami
title Additive lattice kirigami
title_full Additive lattice kirigami
title_fullStr Additive lattice kirigami
title_full_unstemmed Additive lattice kirigami
title_short Additive lattice kirigami
title_sort additive lattice kirigami
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5035127/
https://www.ncbi.nlm.nih.gov/pubmed/27679822
http://dx.doi.org/10.1126/sciadv.1601258
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