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Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to…

Soft Condensed Matter · Physics 2023-03-22 Yunlan Zhang , Jingyi Yang , Mingchao Liu , Dominic Vella

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

Kirigami, art of paper cutting, enables two-dimensional sheets transforming into unique shapes which are also hard to reshape once with prescribed cutting patterns. Rare kirigami designs manipulate cuts on three-dimensional objects to…

Materials Science · Physics 2021-03-30 Yanbin Li , Jie Yin

Soft deployable structures - unlike conventional piecewise rigid deployables based on hinges and springs - can assume intricate 3-D shapes, thereby enabling transformative technologies in soft robotics, shape-morphing architecture, and…

Soft Condensed Matter · Physics 2023-03-21 Leixin Ma , Mrunmayi Mungekar , Vwani Roychowdhury , M. Khalid Jawed

The presence of cuts in a thin planar sheet can dramatically alter its mechanical and geometrical response to loading, as the cuts allow the sheet to deform strongly in the third dimension. We use numerical experiments to characterize the…

Soft Condensed Matter · Physics 2021-12-28 Gaurav Chaudhary , Lauren Niu , Marta Lewicka , Qing Han , L Mahadevan

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

Kirigami, the Japanese art of paper cutting, has recently enabled the design of stretchable mechanical metamaterials that can be easily realized by embedding arrays of periodic cuts into an elastic sheet. Here, we exploit kirigami…

Soft Condensed Matter · Physics 2020-07-16 Lishuai Jin , Antonio Elia Forte , Bolei Deng , Ahmad Rafsanjani , Katia Bertoldi

Kirigami, the traditional paper-cutting craft, holds immense potential for revolutionizing robotics by providing multifunctional, lightweight, and adaptable solutions. Kirigami structures, characterized by their bending-dominated…

Robotics · Computer Science 2025-10-09 Saravana Prashanth Murali Babu , Aida Parvaresh , Ahmad Rafsanjani

Kirigami is the art of cutting paper to make it articulated and deployable, allowing for it to be shaped into complex two and three-dimensional geometries. The mechanical response of a kirigami sheet when it is pulled at its ends is enabled…

Differential Geometry · Mathematics 2021-04-20 Qing Han , Marta Lewicka , L. Mahadevan

Kirigami involves cutting a flat, thin sheet that allows it to morph from a closed, compact configuration into an open deployed structure via coordinated rotations of the internal tiles. By recognizing and generalizing the geometric…

Soft Condensed Matter · Physics 2021-10-15 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

By integrating the principles of kirigami cutting and data-driven modeling, this study aims to develop a personalized, rapid, and low-cost design and fabrication pipeline for creating body-conformable surfaces around the knee joint. The…

Biological Physics · Physics 2025-11-19 Jyotshna Bali , Jinyang Li , Jie Chen , Suyi Li

We present a simple, accessible method for autonomously transforming flat plastic sheets into intricate three-dimensional structures using only uniform heating and common tools such as household ovens and scissors. Our approach combines…

Robotics · Computer Science 2025-07-01 Mrunmayi Mungekar , Sanjith Menon , M. Ravi Shankar , M. Khalid Jawed

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

We introduce a new class of thin flexible structures that morph from a flat shape into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are…

Applied Physics · Physics 2023-01-20 Jan Zavodnik , Yunbo Wang , Wenzhong Yan , Miha Brojan , M. Khalid Jawed

Origami describes rules for creating folded structures from patterns on a flat sheet, but does not prescribe how patterns can be designed to fit target shapes. Here, starting from the simplest periodic origami pattern that yields one…

Soft Condensed Matter · Physics 2018-12-24 Levi H. Dudte , Etienne Vouga , Tomohiro Tachi , L. Mahadevan

Origami and Kirigami, the famous Japanese art forms of paper folding and cutting, have inspired the design of novel materials & structures utilizing their geometry. In this article, we explore the geometry of the lesser known popup art,…

Computational Geometry · Computer Science 2026-03-10 Jay Jayeshbhai Chavda , S Ganga Prasath

Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria. A major…

Soft Condensed Matter · Physics 2016-03-31 Bryan Gin-ge Chen , Bin Liu , Arthur A. Evans , Jayson Paulose , Itai Cohen , Vincenzo Vitelli , C. D. Santangelo

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

Kirigami is an increasingly useful fabrication method to produce shape-programmable metamaterial structures. However, inverse design remains difficult because deployment is nonlinear, and feasible cut layouts must satisfy discrete…

Machine Learning · Computer Science 2026-05-12 Milad Yazdani , Shahriar Shalileh , Dena Shahriari
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