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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

Object manipulation is a fundamental challenge in robotics, where systems must balance trade-offs among manipulation capabilities, system complexity, and throughput. Distributed manipulator systems (DMS) use the coordinated motion of…

We present a theorem on the compatibility upon deployment of kirigami tessellations restricted on a spherical surface with patterned slits forming freeform quadrilateral meshes. We show that the spherical kirigami tessellations have either…

Soft Condensed Matter · Physics 2022-01-24 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang

Orthogonally assembled double-layered corrugated (OADLC) mechanisms are a class of foldable structures that harness origami-inspired methods to enhance the structural stiffness of resulting devices; these mechanisms have extensive…

Robotics · Computer Science 2020-11-11 Chang Liu , Wenzhong Yan , Ankur Mehta

Thin elastic sheets bend easily and, if they are patterned with cuts, can deform in sophisticated ways. Here we show that carefully tuning the location and arrangement of cuts within thin sheets enables the design of mechanical actuators…

OriStitch is a computational fabrication workflow to turn existing flat fabrics into self-folding 3D structures. Users turn fabrics into self-folding sheets by machine embroidering functional threads in specific patterns on fabrics, and…

Origami metamaterials made of repeating unit cells of parallelogram panels joined at folds dramatically change their shape through a collective motion of their cells. Here we develop an effective elastic model and numerical method to study…

Soft Condensed Matter · Physics 2025-06-02 Hu Xu , Frederic Marazzato , Paul Plucinsky

Over the past decade, kirigami--the Japanese art of paper cutting--has been playing an increasing role in the emerging field of mechanical metamaterials and a myriad of other mechanical applications. Nonetheless, a deep understanding of the…

Soft Condensed Matter · Physics 2021-03-02 Souhayl Sadik , Marcelo A. Dias

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

In this paper, we study how to fold a specified origami crease pattern in order to minimize the impact of paper thickness. Specifically, origami designs are often expressed by a mountain-valley pattern (plane graph of creases with relative…

Data Structures and Algorithms · Computer Science 2016-03-22 Erik D. Demaine , David Eppstein , Adam Hesterberg , Hiro Ito , Anna Lubiw , Ryuhei Uehara , Yushi Uno

Rigid foldability allows an origami pattern to fold about crease lines without twisting or stretching component panels. It enables folding of rigid materials, facilitating the design of foldable structures. Recent study shows that rigid…

Applied Physics · Physics 2020-03-31 Huijuan Feng , Rui Peng , Shixi Zang , Jiayao Ma , Yan Chen

Rigid origami has shown potential in large diversity of practical applications. However, current rigid origami crease pattern design mostly relies on known tessellations. This strongly limits the diversity and novelty of patterns that can…

Graphics · Computer Science 2023-05-01 Jeremia Geiger , Karolis Martinkus , Oliver Richter , Roger Wattenhofer

We investigate the mechanics of thin sheets decorated by non-interacting creases. The system considered here consists in parallel folds connected by elastic panels. We show that the mechanical response of the creased structure is twofold,…

Materials Science · Physics 2015-06-19 Frederic Lechenault , Benjamin Thiria , Mokhtar Adda-Bedia

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

Traditional origami starts from flat surfaces, leading to crease patterns consisting of Euclidean vertices. However, Euclidean vertices are limited in their folding motions, are degenerate, and suffer from misfolding. Here we show how…

Soft Condensed Matter · Physics 2020-09-30 Scott Waitukaitis , Peter Dieleman , Martin van Hecke

We map the problem of determining flat-foldability of the origami diagram onto the ground-state search problem of spin glass model on random graphs. If the origami diagram is locally flat-foldable around each vertex, a pre-folded diagram,…

Disordered Systems and Neural Networks · Physics 2025-04-01 Chihiro Nakajima

We develop some design examples for approximating a target surface at the final rigidly folded state of a developable quadrilateral creased paper, which is folded with a 1-DOF rigid folding motion from the planar state. The final rigidly…

Metric Geometry · Mathematics 2020-06-15 Zeyuan He , Simon D. Guest

A foundational result in origami mathematics is Kawasaki and Justin's simple, efficient characterization of flat foldability for unassigned single-vertex crease patterns (where each crease can fold mountain or valley) on flat material. This…

Computational Geometry · Computer Science 2022-04-11 Lily Chung , Erik D. Demaine , Dylan Hendrickson , Victor Luo

Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here…

Soft Condensed Matter · Physics 2024-04-17 Anshuman S. Pal , Luka Pocivavsek , Thomas A. Witten

Stripe patterns are ubiquitous in nature and everyday life. While the synthesis of these patterns has been thoroughly studied in the literature, their potential to control the mechanics of structured materials remains largely unexplored. In…

Graphics · Computer Science 2023-05-24 Juan Montes Maestre , Yinwei Du , Ronan Hinchet , Stelian Coros , Bernhard Thomaszewski