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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

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…

We introduce the study of forcing sets in mathematical origami. The origami material folds flat along straight line segments called creases, each of which is assigned a folding direction of mountain or valley. A subset $F$ of creases is…

Data Structures and Algorithms · Computer Science 2017-03-21 Brad Ballinger , Mirela Damian , David Eppstein , Robin Flatland , Jessica Ginepro , Thomas Hull

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

Folding nanopatterned flat sheets into complex 3D structures enables the fabrication of meta-biomaterials that combine a rationally designed 3D architecture (e.g., to tune mechanical and mass transport properties) with nanoscale surface…

Metamaterials achieve unprecedented properties from designed architected structures. However, they are often constructed from a single repeating building block that exhibits monotonic shape changes with single degree of freedom, thereby…

Materials Science · Physics 2021-03-30 Yanbin Li , Qiuting Zhang , Yaoye Hong , Jie Yin

Flexible surfaces can modulate fluid forces through deformation, enabling passive adaptation to flow conditions. Here we show that kirigami sheets, planar surfaces patterned with arrays of parallel slits, provide a simple route to tunable…

Fluid Dynamics · Physics 2026-04-23 Agathe Schmider , Tom Marzin , Sophie Ramananarivo

Origami structures have been receiving a lot of attention from engineering and scientific researchers owing to their unique properties such as deployability, multi-stability, negative stiffness, etc. However, dynamic properties of origami…

Materials Science · Physics 2024-08-06 Sudheendra Herkal , Satish Nagarajaiah , Glaucio Paulino

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

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

Rigid origami, with applications ranging from nano-robots to unfolding solar sails in space, describes when a material is folded along straight crease line segments while keeping the regions between the creases planar. Prior work has found…

Metric Geometry · Mathematics 2022-04-27 Johnna Farnham , Thomas C. Hull , Aubrey Rumbolt

We investigate the nonlinear wave dynamics of origami-based metamaterials composed of Tachi-Miura polyhedron (TMP) unit cells. These cells exhibit strain softening behavior under compression, which can be tuned by modifying their…

The nonlinear mechanical response of soft materials and slender structures is purposefully harnessed to program functions by design in soft robotic actuators, such as sequencing, amplified response, fast energy release, etc. However,…

Robotics · Computer Science 2025-10-13 Hugo de Souza Oliveira , Xin Li , Johannes Frey , Edoardo Milana

Rigidly and flat-foldable quadrilateral mesh origami is the class of quadrilateral mesh crease patterns with one fundamental property: the patterns can be folded from flat to fully-folded flat by a continuous one-parameter family of…

Soft Condensed Matter · Physics 2020-07-15 Fan Feng , Xiangxin Dang , Richard D. James , Paul Plucinsky

Four rigid panels connected by hinges that meet at a point form a 4-vertex, the fundamental building block of origami metamaterials. Here we show how the geometry of 4-vertices, given by the sector angles of each plate, affects their…

Soft Condensed Matter · Physics 2016-03-23 Scott Waitukaitis , Martin van Hecke

This study explores the use of origami composite structures as active aerodynamic control surfaces. Towards this goal, two origami concepts were designed leveraging a combination of analytical and finite element modeling, and computational…

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, 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

The Miura vertex is a versatile origami pattern found in a variety of mechanisms. Previous papers have derived and validated a closed-form solution for the kinematics of a symmetric Miura vertex, but the motion of an asymmetric vertex has…

Applied Physics · Physics 2020-01-22 Soroush Kamrava , Chang Liu , Alec Q. Orlofsky , Ashkan Vaziri , Samuel M. Felton

We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing modes in conjunction with the Maxwell-Calladine index theorem…

Soft Condensed Matter · Physics 2020-12-24 James McInerney , Bryan Gin-ge Chen , Louis Theran , Christian Santangelo , Zeb Rocklin