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A Computational Design Method for Tucking Axisymmetric Origami Consisting of Triangular Facets
http://hdl.handle.net/2241/00155453
http://hdl.handle.net/2241/001554534d2dfe76-d5b0-48bf-bfc2-c15986541f74
名前 / ファイル | ライセンス | アクション |
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SYMMETRY_10-469 (19.0 MB)
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Item type | Journal Article(1) | |||||||||||
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公開日 | 2019-05-16 | |||||||||||
タイトル | ||||||||||||
タイトル | A Computational Design Method for Tucking Axisymmetric Origami Consisting of Triangular Facets | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
資源タイプ | ||||||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
タイプ | journal article | |||||||||||
著者 |
金森, 由博
× 金森, 由博
WEKO
204168
× 三谷, 純× Zhao, Yan× Endo, Yuki |
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | Three-dimensional (3D) origami, which can generate a structure through folding a crease pattern on a flat sheet of paper, has received considerable attention in art, mathematics, and engineering. With consideration of symmetry, the user can efficiently generate a rational crease pattern and make the fabricated shape stable. In this paper, we focus on a category of axisymmetric origami consisting of triangular facets and edit the origami in 3D space for expanding its variations. However, it is difficult to retain the developability, which requires the sum of the angles around each interior vertex needing to equal 360 degrees, for designing origami. Intersections occur between crease lines when such a value is larger than 360 degrees. On the other hand, blank spaces (unfolded areas) emerge in the crease pattern when the value is less than 360 degrees. The former case is difficult to generate a realizable shape due to the crease lines are intersected with each other. For the latter case, however, blank spaces can be filled with crease lines and become a part of the origami through tucking. Here, we propose a computational method to add flaps or tucks on the 3D shape, which contains non-developable interior vertices, for achieving the resulting origami. Finally, on the application side, we describe a load-bearing experiment on a stool shape-like origami to demonstrate the potential usage. | |||||||||||
書誌情報 |
Symmetry 巻 10, 号 10, p. 469, 発行日 2018-10 |
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ISSN | ||||||||||||
収録物識別子タイプ | ISSN | |||||||||||
収録物識別子 | 2073-8994 | |||||||||||
DOI | ||||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.3390/sym10100469 | |||||||||||
権利 | ||||||||||||
権利情報 | © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | |||||||||||
著者版フラグ | ||||||||||||
値 | publisher | |||||||||||
出版者 | ||||||||||||
出版者 | MDPI |