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Metamaterials achieve unprecedented properties from designed architected structures. However, they are often constructed from a single repeating building block that exhibits monotonic shape changes with single degree of freedom, thereby…

Materials Science · Physics 2021-03-30 Yanbin Li , Qiuting Zhang , Yaoye Hong , Jie Yin

Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here…

Soft Condensed Matter · Physics 2024-04-17 Anshuman S. Pal , Luka Pocivavsek , Thomas A. Witten

We introduce a new class of thin flexible structures that morph from a flat shape into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are…

Applied Physics · Physics 2023-01-20 Jan Zavodnik , Yunbo Wang , Wenzhong Yan , Miha Brojan , M. Khalid Jawed

Details for known solutions of some geometric and algebraic problems with the help of origami are presented: two theorems of Haga, the general cubic equation, especially the heptagon equation, doubling the cube as well as the trisection of…

Metric Geometry · Mathematics 2014-09-18 Wolfdieter Lang

A hybrid helical structure of equal-sized hard spheres in cylindrical confinement was discovered as a 'by-product' of the recently developed sequential deposition approach [Physical Review E 84, 050302(R) (2011)] for constructing the…

Materials Science · Physics 2014-05-21 Ho-Kei Chan

Soft robotic grippers gently and safely manipulate delicate objects due to their inherent adaptability and softness. Limited by insufficient stiffness and imprecise force control, conventional soft grippers are not suitable for applications…

Robotics · Computer Science 2025-03-04 Zhenwei Ni , Chang Xu , Zhihang Qin , Ceng Zhang , Zhiqiang Tang , Peiyi Wang , Cecilia Laschi

Miniature robots provide unprecedented access to confined environments and show promising potential for novel applications such as search-and-rescue and high-value asset inspection. The capability of body deformation further enhances the…

Robotics · Computer Science 2023-07-21 Heiko Kabutz , Kaushik Jayaram

Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular…

Soft Condensed Matter · Physics 2012-09-18 Marcelo A. Dias , Levi H. Dudte , L. Mahadevan , Christian D. Santangelo

Kirigami-inspired designs can enable self-folding three-dimensional materials from flat, two-dimensional sheets. Hierarchical designs of connected levels increase the diversity of possible target structures, yet they can lead to longer…

Using an algorithm for simulating equilibrium configurations, we study a fluctuating helical polymer either (i) contained in a cylindrical pore or (ii) wound around a cylindrical rod. We work in the regime where both the contour length and…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , T. W. Burkhardt , G. Gompper

Kirigami, the creative art of paper cutting, is a promising paradigm for mechanical metamaterials. However, to make kirigami-inspired structures a reality requires controlling the topology of kirigami to achieve connectivity and rigidity.…

Soft Condensed Matter · Physics 2020-06-29 Siheng Chen , Gary P. T. Choi , L. Mahadevan

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…

Applied Physics · Physics 2026-04-15 Mingkai Zhang , Davood Farhadi

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…

Soft Condensed Matter · Physics 2023-02-20 Julien Chopin , Arshad Kudrolli

Via numerical simulation and experimental assessment, this study examines the use of origami folding to develop robotic jumping mechanisms with tailored nonlinear stiffness to improve dynamic performance. Specifically, we use Tachi-Miura…

Robotics · Computer Science 2020-10-28 Sahand Sadeghi , Samuel Allison , Blake Betsill , Suyi Li

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…

Applied Physics · Physics 2023-04-21 Ahmed S. Dalaq , Shadi Khazaaleh , Mohammed F. Daqaq

Kirigami offers unique opportunities for guided morphing by leveraging the geometry of the cuts. This work presents inflatable kirigami crawlers created by introducing cut patterns into heat-sealable textiles to achieve locomotion upon…

Robotics · Computer Science 2025-06-06 Burcu Seyidoğlu , Aida Parvaresh , Bahman Taherkhani , Ahmad Rafsanjani

Origami structures enabled by folding and unfolding can create complex 3D shapes. However, even a small 3D shape can have large 2D unfoldings. The huge initial dimension of the 2D flattened structure makes fabrication difficult, and defeats…

Computational Geometry · Computer Science 2018-03-12 Zhonghua Xi , Yu-Ki Lee , Young-Joo Lee , Yun-hyeong Kim , Huangxin Wang , Yue Hao , Young-Chang Joo , In-Suk Choi , Jyh-Ming Lien

We propose a potential for wormlike polymer chains which can be used to model the low-temperature conformational structures. We successfully reproduced helix ground states up to 6.5 helical loops, using the multicanonical Monte Carlo…

Statistical Mechanics · Physics 2009-10-31 Josh P. Kemp , Zheng Yu Chen

Kirigami tessellations, regular planar patterns formed by cutting flat, thin sheets, have attracted recent scientific interest for their rich geometries, surprising material properties and promise for technologies. Here we pose and solve…

Soft Condensed Matter · Physics 2020-02-10 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

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…

Soft Condensed Matter · Physics 2019-08-20 Ling Lan