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Graph."],"published-print":{"date-parts":[[2018,8,31]]},"abstract":"<jats:p>Deployable structures are physical mechanisms that can easily transition between two or more geometric configurations; such structures enable industrial, scientific, and consumer applications at a wide variety of scales. This paper develops novel deployable structures that can approximate a large class of doubly-curved surfaces and are easily actuated from a flat initial state via inflation or gravitational loading. The structures are based on two-dimensional rigid mechanical linkages that implicitly encode the curvature of the target shape via a user-programmable pattern that permits locally isotropic scaling under load. We explicitly characterize the shapes that can be realized by such structures---in particular, we show that they can approximate target surfaces of positive mean curvature and bounded scale distortion relative to a given reference domain. Based on this observation, we develop efficient computational design algorithms for approximating a given input geometry. The resulting designs can be rapidly manufactured via digital fabrication technologies such as laser cutting, CNC milling, or 3D printing. We validate our approach through a series of physical prototypes and present several application case studies, ranging from surgical implants to large-scale deployable architecture.<\/jats:p>","DOI":"10.1145\/3197517.3201373","type":"journal-article","created":{"date-parts":[[2018,7,31]],"date-time":"2018-07-31T15:56:23Z","timestamp":1533052583000},"page":"1-13","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":134,"title":["Rapid deployment of curved surfaces via programmable auxetics"],"prefix":"10.1145","volume":"37","author":[{"given":"Mina","family":"Konakovi\u0107-Lukovi\u0107","sequence":"first","affiliation":[{"name":"EPFL"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Julian","family":"Panetta","sequence":"additional","affiliation":[{"name":"EPFL"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Keenan","family":"Crane","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mark","family":"Pauly","sequence":"additional","affiliation":[{"name":"EPFL"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2018,7,30]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778800"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03171.x"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601116"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778775"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601189"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1615140114"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cad.2014.01.004"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/311535.311576"},{"key":"e_1_2_2_9_1","volume-title":"Sofien Bouaziz, Bailin Deng, Daniel Piker, and Mark Pauly.","author":"Deuss Mario","year":"2015","unstructured":"Mario Deuss , Anders Holden Deleuran , Sofien Bouaziz, Bailin Deng, Daniel Piker, and Mark Pauly. 2015 . 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