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Recently there have been extensive theoretical, numerical and experimental works on curved-fold origami. However, we notice that a unified and complete geometric framework for describing the geometry and mechanics of curved-fold origami,…

Soft Condensed Matter · Physics 2025-03-12 Zhixuan Wen , Tian Yu , Fan Feng

Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployable patterns that derive inspiration from geometric art forms…

Soft Condensed Matter · Physics 2021-08-17 Lucy Liu , Gary P. T. Choi , L. Mahadevan

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…

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

We present an additive approach for the inverse design of kirigami-based mechanical metamaterials by focusing on the empty (negative) spaces instead of the solid tiles. By considering each negative space as a four-bar linkage, we identify a…

Soft Condensed Matter · Physics 2023-05-29 Levi H. Dudte , Gary P. T. Choi , Kaitlyn P. Becker , L. Mahadevan

Electro-thermally actuated origami provides a novel method for creating 3-D systems with advanced morphing and functional capabilities. However, it is currently difficult to simulate the multi-physical behavior of such systems because the…

Robotics · Computer Science 2022-04-14 Yi Zhu , Evgueni T. Filipov

Origami inspired architectures offer a powerful route toward lightweight, reconfigurable, and programmable robotic systems. Yet, a unified mechanics framework capable of seamlessly bridging rigid folding, elastic deformation, and stability…

Robotics · Computer Science 2026-03-17 Bohan Zhang , Bo Wang , Huajiang Ouyang , Zhigang Wu , Haohao Bi , Jiawei Xu , Mingchao Liu , Weicheng Huang

This study proposes and examines a novel approach to generate peristaltic-like locomotion in a segmented origami robot. Specifically, we demonstrate the use of multi-stability embedded in origami skeleton to eliminate the need for multiple…

Robotics · Computer Science 2019-06-11 Priyanka Bhovad , Joshua Kaufmann , Suyi Li

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

Self-assembly of nanoscale synthetic subunits is a promising bottom-up strategy for fabrication of functional materials. Here, we introduce a design principle for DNA origami nanoparticles of 50-nm size, exploiting modularity, to make a…

Soft Condensed Matter · Physics 2024-11-18 Wei-Shao Wei , Thomas E. Videbæk , Daichi Hayakawa , Rupam Saha , W. Benjamin Rogers , Seth Fraden

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

Shape-morphing structures possess the ability to change their shapes from one state to another, and therefore, offer great potential for a broad range of applications. A typical paradigm of morphing is transforming from an initial…

Applied Physics · Physics 2023-07-13 Hirak Kansara , Mingchao Liu , Yinfeng He , Wei Tan

In this paper, we will show methods to interpret some rigid origami with higher degree vertices as the limit case of structures with degree-4 supplementary angle vertices. The interpretation is based on separating each crease into two…

Metric Geometry · Mathematics 2017-09-12 Thomas C. Hull , Tomohiro Tachi

Periodic origami patterns made with repeating unit cells of creases and panels bend and twist in complex ways. In principle, such soft modes of deformation admit a simplified asymptotic description in the limit of a large number of cells.…

Soft Condensed Matter · Physics 2025-01-03 Hu Xu , Ian Tobasco , Paul Plucinsky

Recently, inflatable elements integrated in robotics systems have enabled complex motions as a result of simple inputs. However, these fluidic actuators typically exhibit unimodal deformation upon inflation. Here, we present a new design…

Robotics · Computer Science 2021-12-03 Antonio Elia Forte , David Melancon , Leon M. Kamp , Benjamin Gorissen , Katia Bertoldi

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

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

Shape-morphing structures have the capability to transform from one state to another, making them highly valuable in engineering applications. In this study, it is propose a two-stage shape-morphing framework inspired by kirigami structures…

Soft Condensed Matter · Physics 2024-06-18 Xiaoyuan Ying , Dilum Fernando , Marcelo A. Dias

A folded disk is bistable, as it can be popped through to an inverted state with elastic energy localized in a small, highly-deformed region on the fold. Cutting out this singularity relaxes the surrounding material and leads to a loss of…

Soft Condensed Matter · Physics 2021-05-25 T. Yu , I. Andrade-Silva , M. A. Dias , J. A. Hanna

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
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