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The article studies the elastic and locomotive properties of Miura-ori-type paper origami. The mechanics of a single paper crease is studied experimentally, and its non-elastic properties turn out to be crucial. The entire origami…

Soft Condensed Matter · Physics 2019-04-16 Oryna Ivashtenko , Polina Kofman , Oleksiy Golubov , Zakhar Maizelis

While the grasping capability of robotic grippers has shown significant development, the ability to manipulate objects within the hand is still limited. One explanation for this limitation is the lack of controlled contact variation between…

Robotics · Computer Science 2024-04-16 Qiujie Lu , Angus B. Clark , Matthew Shen , Nicolas Rojas

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

This article is concerned with an example of complex planar geometry arising from flat origami challenges. The complexity of solution algorithms is illustrated, depending on the depth of the initial analysis of the problem, starting from…

Computational Geometry · Computer Science 2017-05-30 David Dureisseix

Kirigami-inspired metamaterials are attracting increasing interest because of their ability to achieve extremely large strains and shape changes via out-of-plane buckling. While in flat kirigami sheets the ligaments buckle simultaneously as…

Soft Condensed Matter · Physics 2019-05-02 Ahmad Rafsanjani , Lishuai Jin , Bolei Deng , Katia Bertoldi

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

This work introduces a concept of origami electronic membranes that leverages the design and fabrication of flexible electronics and the mechanical behavior of engineering origami to achieve unique multifunctional, shape-reconfigurable, and…

Applied Physics · Physics 2024-06-13 Yao Yao , Guanghui Li , Xin Ning

Reconfigurable mechanical systems enable precise programmable control over structural properties, opening new opportunities in architected materials, adaptive devices, and multifunctional structures. Here, we introduce elastic rod origami…

Applied Physics · Physics 2025-10-14 Sophie Leanza , Jeseung Lee , Ruike Renee Zhao

Kirigami, an ancient paper cutting art, offers a promising strategy for 2D-to-3D shape morphing through cut-guided deformation. Existing kirigami designs for target 3D curved shapes rely on intricate cut patterns in thin sheets, making the…

Applied Physics · Physics 2022-03-02 Yaoye Hong , Yinding Chi , Yanbin Li , Yong Zhu , Jie Yin

4D printing of flat sheets that self-fold into architected 3D structures is a powerful origami-inspired approach for the fabrication of multi-functional devices and metamaterials. The possibility to endow the initially flat sheet with a…

Materials Science · Physics 2021-06-11 Teunis van Manen , Amir A. Zadpoor

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

Kirigami metamaterial sheets and tubes, owing to their capacity to undergo large elastic deformations while developing three-dimensional surface textures, have enormous potential as skins for soft robots. Here, we propose to use kirigami…

Soft Condensed Matter · Physics 2025-05-01 Hamid Reza Tohidvand , Alexis White , Ali Khosravi , Paolo Celli

We show that minimally 3-rigid block-and-hole graphs, with one block or one hole, are characterised as those which are constructible from $K_3$ by vertex splitting, and also, as those having associated looped face graphs which are…

Combinatorics · Mathematics 2023-09-14 Bryan Gin-ge Chen , James Cruickshank , Derek Kitson

We construct perfect t-embeddings for regular hexagons of the hexagonal lattice, providing the first example, and hence proving existence, for graphs with an outer face of degree greater than four. The construction is in terms of the…

Probability · Mathematics 2024-08-13 Tomas Berggren , Matthew Nicoletti , Marianna Russkikh

Thin elastic sheets bend easily and, if they are patterned with cuts, can deform in sophisticated ways. Here we show that carefully tuning the location and arrangement of cuts within thin sheets enables the design of mechanical actuators…

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

Nematic elastomers dramatically change their shape in response to diverse stimuli including light and heat. In this paper, we provide a systematic framework for the design of complex three dimensional shapes through the actuation of…

Soft Condensed Matter · Physics 2018-03-08 Paul Plucinsky , Benjamin A. Kowalski , Timothy J. White , Kaushik Bhattacharya

Geometrical frustration induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According to Neumann's principle, to achieve anisotropic responses, the…

Materials Science · Physics 2023-02-28 Ke Liu , Phanisri P. Pratapa , Diego Misseroni , Tomohiro Tachi , Glaucio H. Paulino

We find a closed-form expression for the Poisson's coefficient of curved-crease variants of the ``Miura ori'' origami tessellation. This is done by explicitly constructing a continuous one-parameter family of isometric piecewise-smooth…

Soft Condensed Matter · Physics 2023-10-13 Asma Karami , Adam Reddy , Hussein Nassar

The folding of paper, hide, and woven fabric has been used for millennia to achieve enhanced articulation, curvature, and visual appeal for intrinsically flat, two-dimensional materials. For graphene, an ideal two-dimensional material,…

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