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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

Simple local interactions can cause primitive building blocks to self-assemble into complex and functional patterns. However, even for a small number of blocks, there exist a vast number of possible configurations that are plausible,…

Soft Condensed Matter · Physics 2024-12-31 Audrey A. Watkins , Osama R. Bilal

Deployable structures inspired by origami have provided lightweight, compact, and reconfigurable solutions for various robotic and architectural applications. However, creating an integrated structural system that can effectively balance…

Robotics · Computer Science 2025-08-25 Ziyang Zhou , Yogesh Phalak , Vishrut Deshpande , Ethan O'Brien , Ian Walker , Suyi Li

Morphing surfaces provide a versatile tool to advance the functionalities of high-performance aircraft, soft robots, biomedical devices, and human-machine interfaces. However, achieving precise shape transformation and mechanical property…

Metamaterials are artificially created media, which allow introducing additional degrees of freedom into electromagnetic design by controlling constitutive material parameters. Reconfigurable time-dependent metamaterials can further enlarge…

We propose an algorithmic framework of a pluripotent structure evolving from a simple compact structure into diverse complex 3-D structures for designing the shape transformable, reconfigurable, and deployable structures and robots. Our…

Computational Engineering, Finance, and Science · Computer Science 2022-08-09 Yu-Ki Lee , Yue Hao , Zhonghua Xi , Woongbae Kim , Youngmin Park , Kyu-Jin Cho , Jyh-Ming Lien , In-Suk Choi

Soft robots employing compliant materials and deformable structures offer great potential for wearable devices that are comfortable and safe for human interaction. However, achieving both structural integrity and compliance for comfort…

Robotics · Computer Science 2025-11-04 Sehui Jeong , Magaly C. Aviles , Athena X. Naylor , Cynthia Sung , Allison M. Okamura

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

Thin-walled structures capable of large, reversible deformation are key to multistable structures, origami, kirigami, and soft robotics. However, conventional fabrication techniques, including 3D printing, casting, and laser cutting, suffer…

Soft Condensed Matter · Physics 2026-03-03 Junyu Chen , Dotan Ilssar , Dennis M. Kochmann

One-dimensional slender bodies can be deformed or shaped into spatially complex curves relatively easily due to their inherent compliance. However, traditional methods of fabricating complex spatial shapes are cumbersome, prone to error…

Applied Physics · Physics 2019-01-30 Soroush Kamrava , Ranajay Ghosh , Yu Yang , Ashkan Vaziri

Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ geometric properties of partially folded zigzag strips to…

Materials Science · Physics 2015-09-25 Maryam Eidini , Glaucio H. Paulino

Advances in engineering mesoscopic quantum devices have led to new material platforms where electronic transport can be achieved on foldable structures. In this respect, we study quantum phases and their transitions on a Kirigami structure,…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Rahul Singh , Adhip Agarwala

Biology is full of intricate molecular structures whose geometries are inextricably linked to their function. Many of these structures exhibit varying curvature, such as the helical structure of the bacterial flagellum, which is critical…

Bistable Auxetic Metamaterials (BAMs) are a class of monolithic perforated periodic structures with negative Poisson's ratio. Under tension, a BAM can expand and reach a second state of equilibrium through a globally large shape…

Applied Physics · Physics 2017-11-28 Xiao Shang , Lu Liu , Ahmad Rafsanjani , Damiano Pasini

A concept of a planar modular mechanical metamaterial inspired by the nature's principle of local adaptivity is proposed. The metamaterial consists of identical pieces similar to jigsaw puzzle tiles. Their rotation within assembly provides…

Materials Science · Physics 2018-09-12 V. Nežerka , M. Somr , T. Janda , J. Vorel , M. Doškář , J. Antoš , J. Zeman , J. Novák

Metamaterials can enable peculiar static and dynamic behavior (such as negative effective mass density, dynamical stiffness, and Poisson's ratio) due to their geometry rather than their chemical composition. The geometry of these…

Soft Condensed Matter · Physics 2022-01-03 Audrey A. Watkins , Austin Eichelberg , Osama R. Bilal

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to…

Soft Condensed Matter · Physics 2016-02-17 Daniel M. Sussman , Yigil Cho , Toen Castle , Xingting Gong , Euiyeon Jung , Shu Yang , Randall D. Kamien

Recent advances in multistable metamaterials reveal a link between structural configuration transition and Boolean logic, heralding a new generation of computationally capable intelligent materials. To enable higher-level computation,…

Materials Science · Physics 2023-10-31 Zuolin Liu , Hongbin Fang , Jian Xu , Kon-Well Wang

Mechanical metamaterials are architected manmade materials that allow for unique behaviors not observed in nature, making them promising candidates for a wide range of applications. Existing metamaterials lack tunability as their properties…

The morphing of 3D structures is suitable for i) future tunable material design for customizing material properties and ii) advanced manufacturing tools for fabricating 3D structures on a 2D plane. However, there is no inverse design method…

Materials Science · Physics 2023-10-24 Kai Xiao , Yuhao Wang , Chao Song , Bihui Zou , Zihe Liang , Heeseung Han , Yilin Du , Hanqing Jiang , Jaehyung Ju