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Related papers: Origami of Multi-Layered Spaced Sheets

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An efficient way to introduce elastic energy that can bias an origami structure toward desired shapes is to allow curved tiles between the creases. The bending of the tiles supplies the energy and the tiles themselves may have additional…

Soft Condensed Matter · Physics 2023-08-04 Huan Liu , Richard D. James

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

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

Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but still lacks overarching principles to guide their intricate architectures. We show that twisted…

Soft Condensed Matter · Physics 2023-02-20 Julien Chopin , Arshad Kudrolli

Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there has been heuristic developments in constructing patterns with desirable…

Soft Condensed Matter · Physics 2015-08-05 Arthur A. Evans , Jesse L. Silverberg , Christian D. Santangelo

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

This paper proposes a family of origami tessellations called extruded Miura-Ori, whose folded state lies between two parallel planes with some faces on the planes, potentially useful for folded core materials because of face bonding. An…

Computational Geometry · Computer Science 2020-07-21 Kai Suto , Akito Adachi , Tomohiro Tachi , Yasushi Yamaguchi

Non-Euclidean origami is a promising technique for designing multistable deployable structures folded from nonplanar developable surfaces. The impossibility of flat foldability inherent to non-Euclidean origami results in two disconnected…

Soft Condensed Matter · Physics 2023-07-20 Clark Addis , Salvador Rojas , Andres F. Arrieta

Origami is the archetype of a structural material with unusual mechanical properties that arise almost exclusively from the geometry of its constituent folds and forms the basis for mechanical metamaterials with an extreme deformation…

Classical Physics · Physics 2016-11-26 Zhiyan Wei , Zengcai Guo , Levi Dudte , Haiyi Liang , L. Mahadevan

We investigate the mechanical response of thin sheets perforated with a square array of mutually orthogonal cuts, which leaves a network of squares connected by small ligaments. Our combined analytical, experimental and numerical results…

Soft Condensed Matter · Physics 2017-03-06 Ahmad Rafsanjani , Katia Bertoldi

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

Origami-inspired mechanisms can transform flat sheets into functional three-dimensional dynamic structures that are lightweight, compact, and capable of complex motion. These properties make origami increasingly valuable in robotic and…

Robotics · Computer Science 2026-05-05 Tianhui Han , Shashwat Singh , Sarvesh Patil , Zeynep Temel

The use of origami in engineering has significantly expanded in recent years, spanning deployable structures across scales, folding robotics, and mechanical metamaterials. However, finding foldable paths can be a formidable task as the…

Soft Condensed Matter · Physics 2024-09-30 Matthew Grasinger , Andrew Gillman , Philip Buskohl

Origami structures have been receiving a lot of attention from engineering and scientific researchers owing to their unique properties such as deployability, multi-stability, negative stiffness, etc. However, dynamic properties of origami…

Materials Science · Physics 2024-08-06 Sudheendra Herkal , Satish Nagarajaiah , Glaucio Paulino

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

Origami folded cylinders (origami bellows) have found increasingly sophisticated applications in space flight and medicine. In spite of this interest, a general understanding of the mechanics of an origami folded cylinder has been elusive.…

Soft Condensed Matter · Physics 2017-01-18 Austin Reid , Frederic Lechenault , Sergio Rica , Mokhtar Adda-Bedia

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

The geometric, aesthetic, and mathematical elegance of origami is being recognized as a powerful pathway to self-assembly of micro and nano-scale machines with programmable mechanical properties. The typical approach to designing the…

This study proposes a reconfigurable modular building system that assembles multistable curved-crease origami blocks. Curved-crease origami is designed with even-vertex polygonal trajectories and an elastica curvature profile. We then…

Applied Physics · Physics 2025-09-10 Munkyun Lee , Joseph M. Gattas , Tomohiro Tachi

Origami-inspired self-deployable structures offer lightweight, compact, and autonomous deployment capabilities, making them highly attractive for aerospace and defence applications, such as solar panels, antennas, and reflector systems.…

Soft Condensed Matter · Physics 2025-10-10 Suraj Singh Gehlot , Siddhanth Gautam , Sanhita Das