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Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there has been heuristic developments in constructing patterns with desirable…

Soft Condensed Matter · Physics 2015-08-05 Arthur A. Evans , Jesse L. Silverberg , Christian D. Santangelo

Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A nonlinear kinematic model was previously proposed as a second…

Numerical Analysis · Mathematics 2025-11-14 Frederic Marazzato

Recently, simple scaling laws concerning the mechanical response and mechanical transition of Kirigami have been revealed through agreement between theory and experiment for kirigami made of paper [M. Isobe and K. Okumura, Sci. Rep. 2016].…

Soft Condensed Matter · Physics 2024-06-11 Yukino Kako , Ko Okumura

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…

Applied Physics · Physics 2025-09-10 Munkyun Lee , Joseph M. Gattas , Tomohiro Tachi

Two-dimensional (2D) origami tessellations such as the Miura-ori are often generalized to build three-dimensional (3D) architected materials with sandwich or cellular structures. However, such 3D blocks are densely packed with continuity of…

Soft Condensed Matter · Physics 2025-07-02 Guowei Wayne Tu , Evgueni T. Filipov

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…

Computational Geometry · Computer Science 2022-03-22 Georg Nawratil

Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geometric building block of kirigami--the e-cone. We consider an…

Soft Condensed Matter · Physics 2022-03-14 Souhayl Sadik , Martin G. Walker , Marcelo A. Dias

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…

Soft Condensed Matter · Physics 2024-08-16 Zhixuan Wen , Pengyu Lv , Fan Feng , Huiling Duan

Some bi or multi-stable Mechanical meta-structures have been implemented as mechanical memory devices which however are with limits such as complex structural forms, low information storage capability and/or fragile structural stability to…

Materials Science · Physics 2023-04-20 Libiao Xin , Yanbin Li , Baolong Wang , Zhiqiang Li

Origami is the art of paper folding, and it borrows its name from two Japanese words \emph{ori} and \emph{kami}. In Japanese, {ori} means folding, and the paper is called {kami}. While origami is just a hobby to most, there is a lot more to…

History and Overview · Mathematics 2025-03-18 Archana S. Morye

Structures and/or materials with engineered functionality, capable of achieving targeted mechanical responses reacting to changes in external excitation, have various potential engineering applications, e.g. aerospace, oceanographic…

Applied Physics · Physics 2019-03-26 Jie Liu , Haifeng Ou , Rong Zeng , Wei Wei , Junfeng He , Jiaxi Zhou , Wei Wei , Kai Long , Guilin Wen , Yi Min Xie

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…

Soft Condensed Matter · Physics 2025-07-24 Rongxuan Li , Gary P. T. Choi

We present a universal crease pattern--known in geometry as the tetrakis tiling and in origami as box pleating--that can fold into any object made up of unit cubes joined face-to-face (polycubes). More precisely, there is one universal…

Computational Geometry · Computer Science 2009-09-30 Nadia Benbernou , Erik D. Demaine , Martin L. Demaine , Aviv Ovadya

Origami as a deployable structure offers the unique advantage of achieving compact stowage via flat-folding while forming a well-defined surface composed of rigid panels upon deployment. However, since origami consists of flat facets, it is…

Soft Condensed Matter · Physics 2025-11-27 Byoung-Gyu Kim , Geon Hee Cho , Hak-Tae Lee , Jinkyu Yang

We characterize the phase-space of all Helical Miura Origami. These structures are obtained by taking a partially folded Miura parallelogram as the unit cell, applying a generic helical or rod group to the cell, and characterizing all the…

Soft Condensed Matter · Physics 2020-03-18 Fan Feng , Paul Plucinsky , Richard D. James

Recent advances enable the creation of nanoscale building blocks with complex geometries and interaction specificities for self-assembly. This nearly boundless design space necessitates design principles for defining the mutual interactions…

Soft Condensed Matter · Physics 2024-03-29 Daichi Hayakawa , Thomas E. Videbæk , Gregory M. Grason , W. Benjamin Rogers

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…

Soft Condensed Matter · Physics 2024-09-30 Matthew Grasinger , Andrew Gillman , Philip Buskohl

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…

Soft Condensed Matter · Physics 2023-08-04 Huan Liu , Richard D. James

The challenge in reconfigurable manipulation of sound waves using metasurfaces lies in achieving precise control over acoustic behavior while developing efficient and practical tuning methods for structural configurations. However, most…

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…

Robotics · Computer Science 2024-10-29 Davood Farhadi , Laura Pernigoni , David Melancon , Katia Bertoldi
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