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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

Structures and/or materials with engineered functionality, capable of achieving targeted mechanical responses reacting to changes in external excitation, have various potential engineering applications, e.g. aerospace, oceanographic…

Applied Physics · Physics 2019-03-26 Jie Liu , Haifeng Ou , Rong Zeng , Wei Wei , Junfeng He , Jiaxi Zhou , Wei Wei , Kai Long , Guilin Wen , Yi Min Xie

The study of origami-based mechanical metamaterials usually focuses on the kinematics of deployable structures made of an assembly of rigid flat plates connected by hinges. When the elastic response of each panel is taken into account,…

Soft Condensed Matter · Physics 2019-10-02 I. Andrade , M. Adda-Bedia , M. A. Dias

For origami structures, perforating or cutting slits along creases is an effective method to define fold lines and alleviate stress concentrations at vertices. In this letter we show numerically and experimentally that for…

Applied Physics · Physics 2022-09-16 Mengzhu Yang , Steven W. Grey , Fabrizio Scarpa , Mark Schenk

Rotational erection system (RES) represents an origami-based design method for generating a three-dimensional (3D) structure from a planar sheet without compression. Its rotational and translational kinematics is fully encoded in a form of…

Soft Condensed Matter · Physics 2021-08-23 Taiju Yoneda , Yoshinobu Miyamoto , Hirofumi Wada

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

Curve-fold origami, composed of developable panels joined along a curved crease, exhibits rich dynamic behaviors relevant to metamaterials and soft robotic systems. Despite multiple approximated models, a comprehensive and exact dynamical…

Soft Condensed Matter · Physics 2026-03-19 Zhixuan Wen , Sheng Mao , Huiling Duan , Fan Feng

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 metamaterials made of repeating unit cells of parallelogram panels joined at folds dramatically change their shape through a collective motion of their cells. Here we develop an effective elastic model and numerical method to study…

Soft Condensed Matter · Physics 2025-06-02 Hu Xu , Frederic Marazzato , Paul Plucinsky

The principles underlying the art of origami paper folding can be applied to design sophisticated metamaterials with unique mechanical properties. By exploiting the flat crease patterns that determine the dynamic folding and unfolding…

Reconfigurable mechanical systems enable precise programmable control over structural properties, opening new opportunities in architected materials, adaptive devices, and multifunctional structures. Here, we introduce elastic rod origami…

Applied Physics · Physics 2025-10-14 Sophie Leanza , Jeseung Lee , Ruike Renee Zhao

Shape transformations of epithelial tissues in three dimensions, which are crucial for embryonic development or in vitro organoid growth, can result from active forces generated within the cytoskeleton of the epithelial cells. How the…

Biological Physics · Physics 2024-12-23 Diana Khoromskaia , Guillaume Salbreux

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

Origami, the ancient art of folding thin sheets, has attracted increasing attention for its practical value in diverse fields: architectural design, therapeutics, deployable space structures, medical stent design, antenna design and…

Soft Condensed Matter · Physics 2021-06-09 Huan Liu , Paul Plucinsky , Fan Feng , Richard D. James

A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanying distortion of the geometry of the printed part (warping).…

Classical Physics · Physics 2021-02-09 P. Sreejith , K. Kannan , K. R. Rajagopal

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 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…

Active matter is characterized by its ability to induce motion by self-generated stress. In the case of a solid, such motion can lead to shape transformations. The stress-generating components can be anisotropic endowing the material with…

Soft Condensed Matter · Physics 2022-05-16 D. J. G. Pearce , S. Gat , G. Livne , A. Bernheim-Groswasser , K. Kruse

We investigate how thin structures change their shape in response to non-mechanical stimuli that can be interpreted as variations in the structure's natural curvature. Starting from the theory of non-Euclidean plates and shells, we derive…

Soft Condensed Matter · Physics 2017-06-08 Matteo Pezzulla , Norbert Stoop , Xin Jiang , Douglas P. Holmes

Kirigami-inspired metamaterials are attracting increasing interest because of their ability to achieve extremely large strains and shape changes via out-of-plane buckling. While in flat kirigami sheets the ligaments buckle simultaneously as…

Soft Condensed Matter · Physics 2019-05-02 Ahmad Rafsanjani , Lishuai Jin , Bolei Deng , Katia Bertoldi
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