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We study the three-dimensional equilibrium shape of a shell formed by a deployed accordion-like origami, made from an elastic sheet decorated by a series of parallel creases crossed by a central longitudinal crease. Surprisingly, while the…

Soft Condensed Matter · Physics 2021-02-09 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

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

We characterize the phase-space of all Helical Miura Origami. These structures are obtained by taking a partially folded Miura parallelogram as the unit cell, applying a generic helical or rod group to the cell, and characterizing all the…

Soft Condensed Matter · Physics 2020-03-18 Fan Feng , Paul Plucinsky , Richard D. James

As we enter the age of designer matter - where objects can morph and change shape on command - what tools do we need to create shape-shifting structures? At the heart of an elastic deformation is the combination of dilation and distortion,…

Soft Condensed Matter · Physics 2018-09-14 Douglas P. Holmes

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

Kirigami tessellations, regular planar patterns formed by cutting flat, thin sheets, have attracted recent scientific interest for their rich geometries, surprising material properties and promise for technologies. Here we pose and solve…

Soft Condensed Matter · Physics 2020-02-10 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

Shape-morphing finds widespread utility, from the deployment of small stents and large solar sails to actuation and propulsion in soft robotics. Origami structures provide a template for shape-morphing, but rules for designing and folding…

Soft Condensed Matter · Physics 2021-10-25 Xiangxin Dang , Fan Feng , Paul Plucinsky , Richard D. James , Huiling Duan , Jianxiang Wang

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

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

Kirigami-inspired designs can enable self-folding three-dimensional materials from flat, two-dimensional sheets. Hierarchical designs of connected levels increase the diversity of possible target structures, yet they can lead to longer…

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

Origami as a deployable structure offers the unique advantage of achieving compact stowage via flat-folding while forming a well-defined surface composed of rigid panels upon deployment. However, since origami consists of flat facets, it is…

Soft Condensed Matter · Physics 2025-11-27 Byoung-Gyu Kim , Geon Hee Cho , Hak-Tae Lee , Jinkyu Yang

Origami, which transforms flat sheets into three-dimensional shapes through folding patterns, has inspired the emergence of deployable systems in architecture and civil realms. Most existing origami-inspired deployable systems are based on…

Soft Condensed Matter · Physics 2026-03-19 Munkyun Lee

We propose a novel computational framework for modeling and simulating origami structures. In this framework, bilinear solid-shell elements are employed to model the origami panels while crease folding is considered through the angle…

Graphics · Computer Science 2026-01-05 Qixin Liang

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

A quad-mesh rigid origami is a continuously deformable panel-hinge structure where planar, rigid, zero-thickness quadrilateral panels are connected by rotational hinges in the combinatorics of a grid. This article provides a comprehensive…

Metric Geometry · Mathematics 2025-07-03 Zeyuan He , Kentaro Hayakawa , Makoto Ohsaki

Manipulation of thin sheets by folding and cutting offers opportunity to engineer structures with novel mechanical properties, and to prescribe complex force-displacement relationships via material elasticity in combination with the…

Applied Physics · Physics 2017-07-13 Nigamaa Nayakanti , Sameh H. Tawfick , A. John Hart

Rigidly and flat-foldable quadrilateral mesh origami is the class of quadrilateral mesh crease patterns with one fundamental property: the patterns can be folded from flat to fully-folded flat by a continuous one-parameter family of…

Soft Condensed Matter · Physics 2020-07-15 Fan Feng , Xiangxin Dang , Richard D. James , Paul Plucinsky

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 concept of kirigami has been extensively utilized to design deployable structures and reconfigurable metamaterials. Despite heuristic utilization of classical kirigami patterns, the gap between complex kirigami tessellations and…

Soft Condensed Matter · Physics 2021-11-23 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang