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Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori…

计算几何 · 计算机科学 2026-04-23 Ka Ho Lai , Hei Tung Tsang , Gary P. T. Choi , Lok Ming Lui

Origami and crumpling are two extreme tools to shrink a 3-D shell. In the shrink/expand process, the former is reversible due to its topological mechanism, while the latter is irreversible because of its random-generated creases. We observe…

Toric origami manifolds are characterized by origami templates, which are combinatorial models built by gluing polytopes together along facets. In this paper, we examine the topology of orientable toric oigami manifolds with coorientable…

辛几何 · 数学 2016-01-20 Tara S. Holm , Ana Rita Pires

Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but still lacks overarching principles to guide their intricate architectures. We show that twisted…

软凝聚态物质 · 物理学 2023-02-20 Julien Chopin , Arshad Kudrolli

We demonstrate hierarchical assembly of plasmonic toroidal metamolecules, which exhibit tailored optical activity in the visible spectral range. Each metamolecule consists of four identical origami-templated helical building blocks. Such…

Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with different physical properties have been studied and utilized for…

软凝聚态物质 · 物理学 2025-07-24 Rongxuan Li , Gary P. T. Choi

Thick origami structures are considered here as assemblies of polygonal panels hinged to each other along their edges according to a corresponding origami crease pattern. The determination of the internal actions caused by external loads in…

软凝聚态物质 · 物理学 2024-05-21 Andrea Micheletti , Alessandro Tiero , Giuseppe Tomassetti

A toric origami manifold is a generalization of a symplectic toric manifold (or a toric symplectic manifold). The origami symplectic form is allowed to degenerate in a good controllable way in contrast to the usual symplectic form. It is…

代数拓扑 · 数学 2017-09-15 Anton Ayzenberg , Mikiya Masuda , Seonjeong Park , Haozhi Zeng

We investigate the size-dependent behavior of Miura-ori-based origami tessellations by changing the number of origami unit cells. For large tessellations, the Miura-ori sheet generally exhibits a negative in-plane Poisson's ratio, whereas…

应用物理 · 物理学 2026-02-26 Chaewon Baek , Tomohiro Tachi , Jinkyu Yang , Hiromi Yasuda

We present a theorem on the compatibility upon deployment of kirigami tessellations restricted on a spherical surface with patterned slits forming freeform quadrilateral meshes. We show that the spherical kirigami tessellations have either…

软凝聚态物质 · 物理学 2022-01-24 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang

Self-folding origami, structures that are engineered flat to fold into targeted, three-dimensional shapes, have many potential engineering applications. Though significant effort in recent years has been devoted to designing fold patterns…

软凝聚态物质 · 物理学 2022-03-25 M. E. Lee-Trimble , Ji-Hwan Kang , Ryan C. Hayward , Christian D. Santangelo

Origami, where two-dimensional sheets are folded into complex structures, is proving to be rich with combinatorial and geometric structure, most of which remains to be fully understood. In this paper we consider \emph{flat origami}, where…

组合数学 · 数学 2019-10-04 Alvin Chiu , William Hoganson , Thomas C. Hull , Sylvia Wu

Folding paper along curves leads to spatial structures that have curved surfaces meeting at spatial creases, defined as curve-fold origami. In this work, we provide an Eulerian framework focusing on the mechanics of arbitrary curve-fold…

软凝聚态物质 · 物理学 2024-08-16 Zhixuan Wen , Pengyu Lv , Fan Feng , Huiling Duan

Origami, which transforms flat sheets into three-dimensional shapes through folding patterns, has inspired the emergence of deployable systems in architecture and civil realms. Most existing origami-inspired deployable systems are based on…

软凝聚态物质 · 物理学 2026-03-19 Munkyun Lee

Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployable patterns that derive inspiration from geometric art forms…

软凝聚态物质 · 物理学 2021-08-17 Lucy Liu , Gary P. T. Choi , L. Mahadevan

Electro-thermally actuated origami provides a novel method for creating 3-D systems with advanced morphing and functional capabilities. However, it is currently difficult to simulate the multi-physical behavior of such systems because the…

机器人学 · 计算机科学 2022-04-14 Yi Zhu , Evgueni T. Filipov

Origami offers a versatile framework for designing morphable structures and soft robots by exploiting the geometry of folds. Tubular origami structures can act as continuum manipulators that balance flexibility and strength. However,…

机器人学 · 计算机科学 2025-02-11 Aida Parvaresh , Arman Goshtasbi , Jonathan Andres Tirado Rosero , Ahmad Rafsanjani

Self-folding origami has emerged as a tool to make functional objects in material science. The common idea is to pattern a sheet with creases and activate them to have the object fold spontaneously into a desired configuration. This article…

软凝聚态物质 · 物理学 2019-08-20 Ling Lan

Origami and Kirigami, the famous Japanese art forms of paper folding and cutting, have inspired the design of novel materials & structures utilizing their geometry. In this article, we explore the geometry of the lesser known popup art,…

计算几何 · 计算机科学 2026-03-10 Jay Jayeshbhai Chavda , S Ganga Prasath

Current architectured cellular cushion materials rely mainly on damage and/or unpredictable collapse of their unit cells to absorb and dissipate energy under impact. This prevents shape recovery and produces undesirable force fluctuations…

应用物理 · 物理学 2023-04-21 Ahmed S. Dalaq , Shadi Khazaaleh , Mohammed F. Daqaq