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The art and science of folding intricate three-dimensional structures out of paper has occupied artists, designers, engineers, and mathematicians for decades, culminating in the design of deployable structures and mechanical metamaterials.…

计算物理 · 物理学 2016-01-12 Friedrich Bös , Etienne Vouga , Omer Gottesman , Max Wardetzky

Shape-morphing structures possess the ability to change their shapes from one state to another, and therefore, offer great potential for a broad range of applications. A typical paradigm of morphing is transforming from an initial…

应用物理 · 物理学 2023-07-13 Hirak Kansara , Mingchao Liu , Yinfeng He , Wei Tan

We study the three-dimensional equilibrium shape of a shell formed by a deployed accordion-like origami, made from an elastic sheet decorated by a series of parallel creases crossed by a central longitudinal crease. Surprisingly, while the…

软凝聚态物质 · 物理学 2021-02-09 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Origami-inspired structures have a rich design space, offering new opportunities for the development of deployable systems that undergo large and complex yet predictable shape transformations. There has been growing interest in such…

应用物理 · 物理学 2020-07-01 N. Kidambi , K. W. Wang

The geometric, aesthetic, and mathematical elegance of origami is being recognized as a powerful pathway to self-assembly of micro and nano-scale machines with programmable mechanical properties. The typical approach to designing the…

Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria. A major…

Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in…

软凝聚态物质 · 物理学 2018-03-01 Bryan Gin-ge Chen , Christian D. Santangelo

The use of origami in engineering has significantly expanded in recent years, spanning deployable structures across scales, folding robotics, and mechanical metamaterials. However, finding foldable paths can be a formidable task as the…

软凝聚态物质 · 物理学 2024-09-30 Matthew Grasinger , Andrew Gillman , Philip Buskohl

Traditional origami structures can be continuously deformed back to a flat sheet of paper, while traditional kirigami requires glue or seams in order to maintain its rigidity. In the former, non-trivial geometry can be created through…

材料科学 · 物理学 2020-01-29 Xinyu Wang , Simon D. Guest , Randall D. Kamien

Kirigami is an increasingly useful fabrication method to produce shape-programmable metamaterial structures. However, inverse design remains difficult because deployment is nonlinear, and feasible cut layouts must satisfy discrete…

机器学习 · 计算机科学 2026-05-12 Milad Yazdani , Shahriar Shalileh , Dena Shahriari

This study explores the use of origami composite structures as active aerodynamic control surfaces. Towards this goal, two origami concepts were designed leveraging a combination of analytical and finite element modeling, and computational…

The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the crease pattern of the origami. Crease pattern vertices in the…

度量几何 · 数学 2025-07-22 Thomas C. Hull

The principles underlying the art of origami paper folding can be applied to design sophisticated metamaterials with unique mechanical properties. By exploiting the flat crease patterns that determine the dynamic folding and unfolding…

Kirigami, the Japanese art of paper cutting, has recently enabled the design of stretchable mechanical metamaterials that can be easily realized by embedding arrays of periodic cuts into an elastic sheet. Here, we exploit kirigami…

软凝聚态物质 · 物理学 2020-07-16 Lishuai Jin , Antonio Elia Forte , Bolei Deng , Ahmad Rafsanjani , Katia Bertoldi

The concept of kirigami has been extensively utilized to design deployable structures and reconfigurable metamaterials. Despite heuristic utilization of classical kirigami patterns, the gap between complex kirigami tessellations and…

软凝聚态物质 · 物理学 2021-11-23 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang

Flat-foldability problem of origami is the problem to determine whether a given crease pattern drawn on a piece of paper is possible to fold without any penetration or intrusion of a polygon into any connections among them. It is known from…

无序系统与神经网络 · 物理学 2025-06-17 Chihiro Nakajima

Here we describe an ultra-low-cost origami-based approach for large-scale manufacturing of microscopes, specifically demonstrating brightfield, darkfield, and fluorescence microscopes. Merging principles of optical design with origami…

光学 · 物理学 2015-06-19 James Cybulski , James Clements , Manu Prakash

Rigid foldability allows an origami pattern to fold about crease lines without twisting or stretching component panels. It enables folding of rigid materials, facilitating the design of foldable structures. Recent study shows that rigid…

应用物理 · 物理学 2020-03-31 Huijuan Feng , Rui Peng , Shixi Zang , Jiayao Ma , Yan Chen

Manipulation of thin sheets by folding and cutting offers opportunity to engineer structures with novel mechanical properties, and to prescribe complex force-displacement relationships via material elasticity in combination with the…

应用物理 · 物理学 2017-07-13 Nigamaa Nayakanti , Sameh H. Tawfick , A. John Hart

Morphing surfaces provide a versatile tool to advance the functionalities of high-performance aircraft, soft robots, biomedical devices, and human-machine interfaces. However, achieving precise shape transformation and mechanical property…