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Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this…

应用物理 · 物理学 2020-05-15 Yuanqing Gu , Yan Chen

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

Shape-morphing finds widespread utility, from the deployment of small stents and large solar sails to actuation and propulsion in soft robotics. Origami structures provide a template for shape-morphing, but rules for designing and folding…

软凝聚态物质 · 物理学 2021-10-25 Xiangxin Dang , Fan Feng , Paul Plucinsky , Richard D. James , Huiling Duan , Jianxiang Wang

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

For origami structures, perforating or cutting slits along creases is an effective method to define fold lines and alleviate stress concentrations at vertices. In this letter we show numerically and experimentally that for…

应用物理 · 物理学 2022-09-16 Mengzhu Yang , Steven W. Grey , Fabrizio Scarpa , Mark Schenk

We develop recursion equations to describe the three-dimensional shape of a sheet upon which a series of concentric curved folds have been inscribed. In the case of no stretching outside the fold, the three-dimensional shape of a single…

软凝聚态物质 · 物理学 2012-12-17 Marcelo A. Dias , Christian D. Santangelo

Origami crease patterns are folding paths that transform flat sheets into spatial objects. Origami patterns with a single degree of freedom (DOF) have creases that fold simultaneously. More often, several substeps are required to…

计算工程、金融与科学 · 计算机科学 2020-06-11 Yucai Hu , Haiyi Liang

We present an approach to overcoming challenges in dynamical dexterity for robots through tunable origami structures. Our work leverages a one-parameter family of flat sheet crease patterns that folds into origami bellows, whose axial…

机器人学 · 计算机科学 2019-10-31 Wei-Hsi Chen , Shivangi Misra , Yuchong Gao , Young-Joo Lee , Daniel E. Koditschek , Shu Yang , Cynthia R. Sung

It is well-known that the Kresling pattern of congruent triangles can be arranged either circularly on a cylinder of revolution or in a helical way. In both cases the resulting cylindrical structures are multi-stable. We generalize these…

计算几何 · 计算机科学 2022-03-22 Georg Nawratil

Rigid origami has shown potential in large diversity of practical applications. However, current rigid origami crease pattern design mostly relies on known tessellations. This strongly limits the diversity and novelty of patterns that can…

图形学 · 计算机科学 2023-05-01 Jeremia Geiger , Karolis Martinkus , Oliver Richter , Roger Wattenhofer

Origami metamaterials typically consist of folded sheets with periodic patterns, conferring them with remarkable mechanical properties. In the context of Continuum Mechanics, the majority of existing predictive methods are mechanism analogs…

软凝聚态物质 · 物理学 2026-01-22 Xuwen Li , Amin Jamalimehr , Mathias Legrand , Damiano Pasini

Consider an oriented curve $\Gamma$ in a domain $D$ in the plane $\boldsymbol R^2$. Thinking of $D$ as a piece of paper, one can make a curved folding in the Euclidean space $\boldsymbol R^3$. This can be expressed as the image of an…

微分几何 · 数学 2020-09-11 Atsufumi Honda , Kosuke Naokawa , Kentaro Saji , Masaaki Umehara , Kotaro Yamada

Soft robots employing compliant materials and deformable structures offer great potential for wearable devices that are comfortable and safe for human interaction. However, achieving both structural integrity and compliance for comfort…

机器人学 · 计算机科学 2025-11-04 Sehui Jeong , Magaly C. Aviles , Athena X. Naylor , Cynthia Sung , Allison M. Okamura

Traditionally, origami has been categorized into two groups according to their kinematics design: rigid and non-rigid origami. However, such categorization can be superficial, and rigid origami can obtain new mechanical properties by…

应用物理 · 物理学 2021-07-13 Jiayue Tao , Suyi Li

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

Origami-inspired mechanisms can transform flat sheets into functional three-dimensional dynamic structures that are lightweight, compact, and capable of complex motion. These properties make origami increasingly valuable in robotic and…

机器人学 · 计算机科学 2026-05-05 Tianhui Han , Shashwat Singh , Sarvesh Patil , Zeynep Temel

Thin sheets can be assembled into tubular origami structures that combine deployability with pronounced anisotropic stiffness, enabling applications ranging from robotics to deployable systems. However, most existing tubular origami designs…

应用物理 · 物理学 2026-04-15 Mingkai Zhang , Davood Farhadi

Digital coding metasurfaces have revolutionized electromagnetic (EM) manipulation, yet typical tunable approaches based on active components suffer from the "volatility" bottleneck. While mechanical modulation provides a potential solution,…

Flexible robotics are capable of achieving various functionalities by shape morphing, benefiting from their compliant bodies and reconfigurable structures. Here we construct and study a class of origami springs generalized from the known…

机器人学 · 计算机科学 2022-01-19 Qianying Chen , Fan Feng , Pengyu Lv , Huiling Duan

A surface is considered flexible if it allows a continuous deformation that preserves both metric and smoothness. We introduce a novel construction method, called 'base + crinkle,' for generating a broad class of non-self-intersecting…

度量几何 · 数学 2025-11-11 Zeyuan He , Simon D. Guest