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Origami, the traditional art of paper folding, has revolutionized science and technology in recent years and has been found useful in various real-world applications. In particular, origami-inspired structures have been utilized for…

Soft Condensed Matter · Physics 2025-06-19 Rongxuan Li , Gary P. T. Choi

Origami morphing, obtained with patches of piecewise smooth isometries separated by straight fold lines, is an exquisite art that has already received considerable attention in the mathematics and mechanics literature. Curved fold lines,…

Soft Condensed Matter · Physics 2024-12-25 Antonio DeSimone , Luciano Teresi

This study explores the use of origami composite structures as active aerodynamic control surfaces. Towards this goal, two origami concepts were designed leveraging a combination of analytical and finite element modeling, and computational…

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

Morphing surfaces provide a versatile tool to advance the functionalities of high-performance aircraft, soft robots, biomedical devices, and human-machine interfaces. However, achieving precise shape transformation and mechanical property…

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to…

Soft Condensed Matter · Physics 2016-02-17 Daniel M. Sussman , Yigil Cho , Toen Castle , Xingting Gong , Euiyeon Jung , Shu Yang , Randall D. Kamien

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

Traditional origami structures can be continuously deformed back to a flat sheet of paper, while traditional kirigami requires glue or seams in order to maintain its rigidity. In the former, non-trivial geometry can be created through…

Materials Science · Physics 2020-01-29 Xinyu Wang , Simon D. Guest , Randall D. Kamien

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

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

Kirigami, art of paper cutting, enables two-dimensional sheets transforming into unique shapes which are also hard to reshape once with prescribed cutting patterns. Rare kirigami designs manipulate cuts on three-dimensional objects to…

Materials Science · Physics 2021-03-30 Yanbin Li , Jie Yin

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

Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this…

Applied Physics · Physics 2020-05-15 Yuanqing Gu , Yan Chen

The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the crease pattern of the origami. Crease pattern vertices in the…

Metric Geometry · Mathematics 2025-07-22 Thomas C. Hull

Origami structures have been proposed as a means of creating three-dimensional structures from the micro- to the macroscale, and as a means of fabricating mechanical metamaterials. The design of such structures requires a deep understanding…

Soft Condensed Matter · Physics 2020-04-29 M. Berry , M. E. Lee-Trimble , C. D. Santangelo

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

Origami design principles are scale invariant and enable direct miniaturization of origami structures provided the sheets used for folding have equal thickness to length ratios. Recently, seminal steps have been taken to fabricate…

People are constantly in touch with surfaces in their lives, such as a sofa, armrest, and table, making them natural tactile interfaces. Despite the recent advancements in shape-changing surfaces, current available solutions are often…

Human-Computer Interaction · Computer Science 2025-11-06 Shubham Rohal , Shijia Pan

Lattices and their underlying symmetries play a central role in determining the physical properties and applications of many natural and engineered materials. By bridging the lattice geometry and rigid-folding kinematics, this study…

Applied Physics · Physics 2019-09-18 Hongbin Fang , Suyi Li , Manoj Thota , Kon-Well Wang

Yoshimura origami is a classical folding pattern that has inspired many deployable structure designs. Its applications span from space exploration, kinetic architectures, and soft robots to even everyday household items. However, despite…

Robotics · Computer Science 2024-08-26 Vishrut Deshpande , Yogesh Phalak , Ziyang Zhou , Ian Walker , Suyi Li