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Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when…

Computational Engineering, Finance, and Science · Computer Science 2020-09-08 Yucai Hu , Yexin Zhou , Haiyi Liang

We merge classical origami concepts with active actuation by designing origami patterns whose panels undergo prescribed metric changes. These metric changes render the system non-Euclidean, inducing non-zero Gaussian curvature at the…

Soft Condensed Matter · Physics 2025-12-01 Linjuan Wang , Fan Feng

The leaf-like origami structure was inspired by geometric patterns found in nature, exhibiting unique transitions between open and closed shapes. With a bistable energy landscape, leaf-like origami is able to replicate the autonomous…

Robotics · Computer Science 2020-11-04 Hiromi Yasuda , Kyle Johnson , Vicente Arroyos , Koshiro Yamaguchi , Jordan R. Raney , Jinkyu Yang

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

This work introduces a concept of origami electronic membranes that leverages the design and fabrication of flexible electronics and the mechanical behavior of engineering origami to achieve unique multifunctional, shape-reconfigurable, and…

Applied Physics · Physics 2024-06-13 Yao Yao , Guanghui Li , Xin Ning

We survey results on the foldability of flat origami models. The main topics are the question of when a given crease pattern can fold flat, the combinatorics of mountain and valley creases, and counting how many ways a given crease pattern…

Metric Geometry · Mathematics 2013-07-04 Thomas C. Hull

Here we describe an ultra-low-cost origami-based approach for large-scale manufacturing of microscopes, specifically demonstrating brightfield, darkfield, and fluorescence microscopes. Merging principles of optical design with origami…

Optics · Physics 2015-06-19 James Cybulski , James Clements , Manu Prakash

Despite advances in localization and navigation, aerial robots inevitably remain susceptible to accidents and collisions. In this work, we propose a passive foldable airframe as a protective mechanism for a small aerial robot. A foldable…

Robotics · Computer Science 2019-07-19 Jing Shu , Pakpong Chirarattananon

Kirigami patterned materials have found several applications in recent years due to their ability to assume complicated shapes and exhibit emergent physical properties when exposed to external forces. Consisting of an array of cuts in a…

Fluid Dynamics · Physics 2023-11-17 Adrian G. Carleton , Yahya Modarres-Sadeghi

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

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

Shape morphing that transforms morphologies in response to stimuli is crucial for future multifunctional systems. While kirigami holds great promise in enhancing shape-morphing, existing designs primarily focus on kinematics and overlook…

Applied Physics · Physics 2023-08-10 Liwei Wang , Yilong Chang , Shuai Wu , Ruike Renee Zhao , Wei Chen

Origami-inspired robots with multiple advantages, such as being lightweight, requiring less assembly, and exhibiting exceptional deformability, have received substantial and sustained attention. However, the existing origami-inspired robots…

For centuries, human civilizations devised metal forming techniques to make tools and items; yet, customized metal forming remains costly and intricate. Laser-forming origami} (lasergami) is a metal forming process where a laser beam cuts…

Robotics · Computer Science 2021-12-01 Yue Hao , Peiwen J. Ma , Huaishu Peng , Edwin A. Peraza Hernandez , Jyh-Ming Lien

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

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

Kirigami, the art of paper cutting, has been widely used in the modern design of mechanical metamaterials. In recent years, many kirigami-based metamaterials have been designed based on different planar tiling patterns and applied to…

Soft Condensed Matter · Physics 2026-04-22 Hugo Hiu Chak Cheng , Gary P. T. Choi

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

We consider several quadrilateral origami tilings, including the Miura-ori crease pattern, allowing for crease-reversal defects above the ground state which maintain local flat-foldability. Using exactly solvable models, we show that these…

Mathematical Physics · Physics 2018-09-12 Michael Assis

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