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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…

Disordered Systems and Neural Networks · Physics 2025-06-17 Chihiro Nakajima

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

Overlaying commensurate optical lattices with various configurations called superlattices can lead to exotic lattice topologies and, in turn, a discovery of novel physics. In this study, by overlapping the maxima of lattices, a new isolated…

Quantum Physics · Physics 2016-10-26 Xinhao Zou , Baoguo Yang , Xia Xu , Pengju Tang , Xiaoji Zhou

The geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question readily accessible to atomic systems is related…

Quantum Gases · Physics 2016-05-02 Mekena Metcalf , Gia-Wei Chern , Massimiliano Di Ventra , Chih-Chun Chien

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,…

Robotics · Computer Science 2025-02-11 Aida Parvaresh , Arman Goshtasbi , Jonathan Andres Tirado Rosero , 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

The geometry of bending-active kirigami arches, decorated by cuts and holes, is strongly influenced by the location and geometry of the perforations. This study demonstrates that, in some instances, the geometric stiffening induced by…

Soft Condensed Matter · Physics 2025-08-14 Eszter Fehér

Symmetries are known to dictate important physical properties and can be used as a design principle in particular in wave physics, including wave structures and the resulting propagation dynamics. Local symmetries, in the sense of a…

Quantum Physics · Physics 2023-03-27 P. Schmelcher

Kirigami, the traditional paper-cutting craft, holds immense potential for revolutionizing robotics by providing multifunctional, lightweight, and adaptable solutions. Kirigami structures, characterized by their bending-dominated…

Robotics · Computer Science 2025-10-09 Saravana Prashanth Murali Babu , Aida Parvaresh , Ahmad Rafsanjani

Origami structures have been receiving a lot of attention from engineering and scientific researchers owing to their unique properties such as deployability, multi-stability, negative stiffness, etc. However, dynamic properties of origami…

Materials Science · Physics 2024-08-06 Sudheendra Herkal , Satish Nagarajaiah , Glaucio Paulino

Origami and crumpling are two extreme tools to shrink a 3-D shell. In the shrink/expand process, the former is reversible due to its topological mechanism, while the latter is irreversible because of its random-generated creases. We observe…

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…

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…

Soft Condensed Matter · Physics 2020-07-16 Lishuai Jin , Antonio Elia Forte , Bolei Deng , Ahmad Rafsanjani , Katia Bertoldi

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

This paper addresses the problem of finding minimum forcing sets in origami. The origami material folds flat along straight lines called creases that can be labeled as mountains or valleys. A forcing set is a subset of creases that force…

Discrete Mathematics · Computer Science 2017-03-21 Mirela Damian , Erik Demaine , Muriel Dulieu , Robin Flatland , Hella Hoffman , Thomas C. Hull , Jayson Lynch , Suneeta Ramaswami

This study examines a biology-inspired approach of using reconfigurable articulation to reduce the control requirement for soft robotic arms. We construct a robotic arm by assembling Kresling origami modules that exhibit predictable…

Applied Physics · Physics 2020-08-18 Joshua Kaufmann , Suyi Li

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…

Applied Physics · Physics 2020-07-01 N. Kidambi , K. W. Wang

Origami designs offer extreme reconfigurability due to hinge rotation and facet deformation. This can be exploited to make lightweight metamaterials with controlled deployability and tunable properties. Here, we create a family of…

Applied Physics · Physics 2018-07-30 Soroush Kamrava , Ranajay Ghosh , Zhihao Wang , Ashkan Vaziri

Optical lattices are considered loaded by atoms or molecules that can exhibit strong interactions between different lattice sites. The strength of these interactions can be sufficient for generating collective phonon excitations above the…

Quantum Gases · Physics 2020-07-22 V. I. Yukalov

Ring origami, consisting of closed-loop rods, is a class of shape-morphing structures that undergo shape transformation through folding enabled by snap-buckling instabilities, referred to as snap-folding instabilities. Previous studies have…

Applied Physics · Physics 2025-11-04 Lu Lu , Sophie Leanza , Luyuan Ning , Ruike Renee Zhao
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