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This study introduces an innovative ventilation system, which leverages an origami-inspired structure to improve and regulate natural airflow driven by the stack effect, with applications in underground mines and buildings. The proposed…

Fluid Dynamics · Physics 2025-10-14 Ahmad F. Zueter , Ahmad S. Dalaq , Mohammed F. Daqaq

Via numerical simulation and experimental assessment, this study examines the use of origami folding to develop robotic jumping mechanisms with tailored nonlinear stiffness to improve dynamic performance. Specifically, we use Tachi-Miura…

Robotics · Computer Science 2020-10-28 Sahand Sadeghi , Samuel Allison , Blake Betsill , Suyi Li

We propose an algorithmic framework of a pluripotent structure evolving from a simple compact structure into diverse complex 3-D structures for designing the shape transformable, reconfigurable, and deployable structures and robots. Our…

Computational Engineering, Finance, and Science · Computer Science 2022-08-09 Yu-Ki Lee , Yue Hao , Zhonghua Xi , Woongbae Kim , Youngmin Park , Kyu-Jin Cho , Jyh-Ming Lien , In-Suk Choi

We present a theorem on the compatibility upon deployment of kirigami tessellations restricted on a spherical surface with patterned slits forming freeform quadrilateral meshes. We show that the spherical kirigami tessellations have either…

Soft Condensed Matter · Physics 2022-01-24 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang

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

An origami manifold is a manifold equipped with a closed 2-form which is symplectic except on a hypersurface where it is like the pullback of a symplectic form by a folding map and its kernel fibrates with oriented circle fibers over a…

Symplectic Geometry · Mathematics 2016-11-03 A. Cannas da Silva , V. Guillemin , A. R. Pires

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

An origami extrusion is a folding of a 3D object in the middle of a flat piece of paper, using 3D gadgets which create faces with solid angles. Our main concern is to make origami extrusions of polyhedrons using 3D gadgets with simple…

Computational Geometry · Computer Science 2020-07-14 Mamoru Doi

Sliced Sudoku-based space-filling designs and, more generally, quasi-sliced orthogonal array-based space-filling designs are useful experimental designs in several contexts, including computer experiments with categorical in addition to…

Combinatorics · Mathematics 2015-02-20 Diane Donovan , Benjamin Haaland , David J. Nott

We develop recursion equations to describe the three-dimensional shape of a sheet upon which a series of concentric curved folds have been inscribed. In the case of no stretching outside the fold, the three-dimensional shape of a single…

Soft Condensed Matter · Physics 2012-12-17 Marcelo A. Dias , Christian D. Santangelo

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 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

Metamaterials achieve unprecedented properties from designed architected structures. However, they are often constructed from a single repeating building block that exhibits monotonic shape changes with single degree of freedom, thereby…

Materials Science · Physics 2021-03-30 Yanbin Li , Qiuting Zhang , Yaoye Hong , Jie Yin

The recent development of modular origami structures has ushered in a new era for active metamaterials with multiple degrees of freedom (multi-DOF). Notably, no systematic inverse design approach for volumetric modular origami structures…

Materials Science · Physics 2022-12-13 Kai Xiao , Xiang Zhou , Jaehyung Ju

Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here…

Soft Condensed Matter · Physics 2024-04-17 Anshuman S. Pal , Luka Pocivavsek , Thomas A. Witten

Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular…

Soft Condensed Matter · Physics 2012-09-18 Marcelo A. Dias , Levi H. Dudte , L. Mahadevan , Christian D. Santangelo

Bistable mechanical systems exhibit two stable configurations where the elastic energy is locally minimized. To realize such systems, origami techniques have been proposed as a versatile platform to design deployable structures with both…

Optimization and Control · Mathematics 2024-08-28 Luca Boisneault , Charles Audet , David Melancon

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

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…

Computational Geometry · Computer Science 2026-01-21 David Eppstein