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Origami-inspired robots offer rapid, accessible design and manufacture with diverse functionalities. In particular, origami robots without conventional electronics have the unique advantage of functioning in extreme environments such as…

Robotics · Computer Science 2026-03-26 Sean Liu , Ankur Mehta , Wenzhong Yan

Orthogonally assembled double-layered corrugated (OADLC) mechanisms are a class of foldable structures that harness origami-inspired methods to enhance the structural stiffness of resulting devices; these mechanisms have extensive…

Robotics · Computer Science 2020-11-11 Chang Liu , Wenzhong Yan , Ankur Mehta

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

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

We combine large-scale atomistic modelling with continuum elastic theory to study the shapes of graphene sheets embedding nanoscale kirigami. Lattice segments are selectively removed from a flat graphene sheet and the structure is allowed…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 Bastien F. Grosso , E. J. Mele

The powerful Lagrangian view of structure formation was essentially introduced to cosmology by Zel'dovich. In the current cosmological paradigm, a dark-matter-sheet 3D manifold, inhabiting 6D position-velocity phase space, was flat (with…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-24 Mark C. Neyrinck

Existing Civil Engineering structures have limited capability to adapt their configurations for new functions, non-stationary environments, or future reuse. Although origami principles provide capabilities of dense packaging and…

Applied Physics · Physics 2024-03-19 Yi Zhu , Evgueni T. Filipov

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-inspired robotic grippers have shown promising potential for object manipulation tasks due to their compact volume and mechanical flexibility. However, robust capture of objects with random shapes in dynamic working environments…

Robotics · Computer Science 2026-04-30 Alec Boron , Bokun Zheng , Ziyang Zhou , Noel Naughton , Suyi Li

Origami offers a promising alternative for designing innovative soft robotic actuators. While features of origami, such as bi-directional motion and structural anisotropy, haven't been extensively explored in the past, this letter presents…

Robotics · Computer Science 2023-10-18 Shuai Liu , Sheeraz Athar , Michael Yu Wang

Origami is an ancient art that continues to yield both artistic and scientific insights to this day. In 2012, Buhler, Butler, de Launey, and Graham extended these ideas even further by developing a mathematical construction inspired by…

Rings and Algebras · Mathematics 2023-06-07 Deveena R. Banerjee , Sara Chari , Adriana Salerno

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

The interaction between elasticity and capillarity is used to produce three dimensional structures, through the wrapping of a liquid droplet by a planar sheet. The final encapsulated 3D shape is controlled by tayloring the initial geometry…

Soft Condensed Matter · Physics 2015-06-25 C. Py , P. Reverdy , L. Doppler , J. Bico , B. Roman , C. N. Baroud

Flat origami studies straight line, planar graphs $C=(V,E)$ drawn on a region $R\subset\mathbb{R}^2$ that can act as crease patterns to map, or fold, $R$ into $\mathbb{R}^2$ in a way that is continuous and a piecewise isometry exactly on…

Combinatorics · Mathematics 2024-05-15 Thomas C. Hull , Manuel Morales , Sarah Nash , Natalya Ter-Saakov

Flexible surfaces can modulate fluid forces through deformation, enabling passive adaptation to flow conditions. Here we show that kirigami sheets, planar surfaces patterned with arrays of parallel slits, provide a simple route to tunable…

Fluid Dynamics · Physics 2026-04-23 Agathe Schmider , Tom Marzin , Sophie Ramananarivo

Plates generally admit six deformation modes: three of which are high in strain energy, stretch the plate's midsurface and are called membrane modes; and three are low-energy, bend the midsurface without stretching it and are called bending…

Differential Geometry · Mathematics 2026-02-20 Adam Reddy , Asma Karami , Hussein Nassar

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.…

Computational Geometry · Computer Science 2018-12-31 Yu-Ki Lee , Zhonghua Xi , Young-Joo Lee , Yun-Hyeong Kim , Yue Hao , Young-Chang Joo , Changsoon Kim , Jyh-Ming Lien , In-Suk Choi

This paper focuses on packaging design using origami techniques, specifically designs incorporating curves, known as pillow boxes. While conventional paper packaging boxes are typically cuboid, pillow box designs include curved surfaces,…

Computational Geometry · Computer Science 2024-10-24 Jun Mitani

We study, experimentally and theoretically, the mechanical response of sheet materials on which line cracks or cuts are arranged in a simple pattern. Such sheet materials, often called kirigami (the Japanese words, kiri and gami, stand for…

Soft Condensed Matter · Physics 2016-09-01 Midori Isobe , Ko Okumura

The wrist plays a pivotal role in facilitating motion dexterity and hand functions. Wrist orthoses, from passive braces to active exoskeletons, provide an effective solution for the assistance and rehabilitation of motor abilities. However,…

Robotics · Computer Science 2025-02-03 Chenying Liu , Shuai Mao , Yixing Lei , Liang He