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Folding nanopatterned flat sheets into complex 3D structures enables the fabrication of meta-biomaterials that combine a rationally designed 3D architecture (e.g., to tune mechanical and mass transport properties) with nanoscale surface…

Soft deployable structures - unlike conventional piecewise rigid deployables based on hinges and springs - can assume intricate 3-D shapes, thereby enabling transformative technologies in soft robotics, shape-morphing architecture, and…

软凝聚态物质 · 物理学 2023-03-21 Leixin Ma , Mrunmayi Mungekar , Vwani Roychowdhury , M. Khalid Jawed

We present an additive approach for the inverse design of kirigami-based mechanical metamaterials by focusing on the empty (negative) spaces instead of the solid tiles. By considering each negative space as a four-bar linkage, we identify a…

软凝聚态物质 · 物理学 2023-05-29 Levi H. Dudte , Gary P. T. Choi , Kaitlyn P. Becker , L. Mahadevan

Origami folded cylinders (origami bellows) have found increasingly sophisticated applications in space flight and medicine. In spite of this interest, a general understanding of the mechanics of an origami folded cylinder has been elusive.…

软凝聚态物质 · 物理学 2017-01-18 Austin Reid , Frederic Lechenault , Sergio Rica , Mokhtar Adda-Bedia

This study starts from the counter-intuitive question of how we can render a conventional stiff, non-stretchable and even brittle material conformable so that it can fully wrap around a curved surface, such as a sphere, without failure.…

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

The ancient art of origami, traditionally used to transform simple sheets into intricate objects, also holds potential for diverse engineering applications, such as shape morphing and robotics. In this study, we demonstrate that one of the…

机器人学 · 计算机科学 2024-10-29 Davood Farhadi , Laura Pernigoni , David Melancon , Katia Bertoldi

Designing a robot or structure that can fold itself into a target shape is a process that involves challenges originated from multiple sources. For example, the designer of rigid self-folding robots must consider foldability from geometric…

机器人学 · 计算机科学 2020-11-23 Yue Hao , Weilin Guan , Edwin A Peraza Hernandez , Jyh-Ming Lien

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

Non-Euclidean origami is a promising technique for designing multistable deployable structures folded from nonplanar developable surfaces. The impossibility of flat foldability inherent to non-Euclidean origami results in two disconnected…

软凝聚态物质 · 物理学 2023-07-20 Clark Addis , Salvador Rojas , Andres F. Arrieta

An efficient way to introduce elastic energy that can bias an origami structure toward desired shapes is to allow curved tiles between the creases. The bending of the tiles supplies the energy and the tiles themselves may have additional…

软凝聚态物质 · 物理学 2023-08-04 Huan Liu , Richard D. James

We prove several hardness results on folding origami crease patterns. Flat-folding finite crease patterns is fixed-parameter tractable in the ply of the folded pattern (how many layers overlap at any point) and the treewidth of an…

计算几何 · 计算机科学 2026-01-21 David Eppstein

Propagating transition fronts, in which local interactions sequentially trigger state changes, are widely observed across natural, biological, and engineered systems. While such propagation has been engineered using energy-driven…

动力系统 · 数学 2026-05-07 Rinki Imada , Tomohiro Tachi

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…

软凝聚态物质 · 物理学 2020-02-10 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

Origami design principles are scale invariant and enable direct miniaturization of origami structures provided the sheets used for folding have equal thickness to length ratios. Recently, seminal steps have been taken to fabricate…

In this paper, we study how to fold a specified origami crease pattern in order to minimize the impact of paper thickness. Specifically, origami designs are often expressed by a mountain-valley pattern (plane graph of creases with relative…

数据结构与算法 · 计算机科学 2016-03-22 Erik D. Demaine , David Eppstein , Adam Hesterberg , Hiro Ito , Anna Lubiw , Ryuhei Uehara , Yushi Uno

This study proposes a reconfigurable modular building system that assembles multistable curved-crease origami blocks. Curved-crease origami is designed with even-vertex polygonal trajectories and an elastica curvature profile. We then…

应用物理 · 物理学 2025-09-10 Munkyun Lee , Joseph M. Gattas , Tomohiro Tachi

Origami, the traditional art of paper folding, has revolutionized science and technology in recent years and has been found useful in various real-world applications. In particular, origami-inspired structures have been utilized for…

软凝聚态物质 · 物理学 2025-06-19 Rongxuan Li , Gary P. T. Choi

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

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