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Related papers: Automating Rigid Origami Design

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Controlling the connectivity and rigidity of kirigami, i.e. the process of cutting paper to deploy it into an articulated system, is critical in the manifestations of kirigami in art, science and technology, as it provides the resulting…

Soft Condensed Matter · Physics 2023-03-31 Gary P. T. Choi , Lucy Liu , L. Mahadevan

Recent research on mobile robots has focused on increasing their adaptability to unpredictable and unstructured environments using soft materials and structures. However, the determination of key design parameters and control over these…

Robotics · Computer Science 2024-03-20 Keqi Zhu , Haotian Guo , Wei Yu , Hassen Nigatu , Tong Li , Huixu Dong

Origami, the ancient art of folding thin sheets, has attracted increasing attention for its practical value in diverse fields: architectural design, therapeutics, deployable space structures, medical stent design, antenna design and…

Soft Condensed Matter · Physics 2021-06-09 Huan Liu , Paul Plucinsky , Fan Feng , Richard D. James

Origami, where two-dimensional sheets are folded into complex structures, is proving to be rich with combinatorial and geometric structure, most of which remains to be fully understood. In this paper we consider \emph{flat origami}, where…

Combinatorics · Mathematics 2019-10-04 Alvin Chiu , William Hoganson , Thomas C. Hull , Sylvia Wu

We introduce a computational origami problem which we call the segment folding problem: given a set of $n$ line-segments in the plane the aim is to make creases along all segments in the minimum number of folding steps. Note that a folding…

Computational Geometry · Computer Science 2022-01-17 Takashi Horiyama , Fabian Klute , Matias Korman , Irene Parada , Ryuhei Uehara , Katsuhisa Yamanaka

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…

Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori…

Computational Geometry · Computer Science 2026-04-23 Ka Ho Lai , Hei Tung Tsang , Gary P. T. Choi , Lok Ming Lui

Origami-based structures play an important role in the realization of deployable mechanisms and unique mechanical properties via programmable deformation by folding. Among origami-based structures, tessellation by the coupling of origami…

We present an approach to overcoming challenges in dynamical dexterity for robots through tunable origami structures. Our work leverages a one-parameter family of flat sheet crease patterns that folds into origami bellows, whose axial…

We show that deciding whether a given set of circles can be packed into a rectangle, an equilateral triangle, or a unit square are NP-hard problems, settling the complexity of these natural packing problems. On the positive side, we show…

Computational Geometry · Computer Science 2010-09-21 Erik D. Demaine , Sandor P. Fekete , Robert J. Lang

In this paper we report a new promising idea on the design and manufacturing of ply composite structures, tailored to exhibit maximum stiffness under given weight constraints and loading conditions. It is based on the idea behind an…

Computational Physics · Physics 2020-02-26 Igor A. Ostanin

The wrist plays a pivotal role in facilitating motion dexterity and hand functions. Wrist orthoses, from passive braces to active exoskeletons, provide an effective solution for the assistance and rehabilitation of motor abilities. However,…

Robotics · Computer Science 2025-02-03 Chenying Liu , Shuai Mao , Yixing Lei , Liang He

Due to its rigid foldability and predictable kinematics, the reverse fold is the fundamental mechanism behind some of the most well known origami kinematic structures, including the Miura Ori, Yoshimura, and waterbomb patterns. However, the…

Robotics · Computer Science 2024-07-26 Malcolm Smith

Reconfigurable mechanical systems enable precise programmable control over structural properties, opening new opportunities in architected materials, adaptive devices, and multifunctional structures. Here, we introduce elastic rod origami…

Applied Physics · Physics 2025-10-14 Sophie Leanza , Jeseung Lee , Ruike Renee Zhao

"Flat origami" refers to the folding of flat, zero-curvature paper such that the finished object lies in a plane. Mathematically, flat origami consists of a continuous, piecewise isometric map $f:P\subseteq\mathbb{R}^2\to\mathbb{R}^2$ along…

Combinatorics · Mathematics 2025-02-27 Thomas C. Hull , Inna Zakharevich

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

Automatically creating a computer program using input-output examples can be a challenging task, especially when trying to synthesize computer programs that require loops or recursion. Even though the use of recursion can make the…

Programming Languages · Computer Science 2024-06-04 Matheus Campos Fernandes , Fabrício Olivetti de França , Emilio Francesquini

Sim-to-real transfer remains a significant challenge in soft robotics due to the unpredictability introduced by common manufacturing processes such as 3D printing and molding. These processes often result in deviations from simulated…

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…

This paper deals with themes such as approximate counting/evaluation of the total number of flat-foldings for random origami diagrams, evaluation of the values averaged over various instances, obtaining forcing sets for general origami…

Statistical Mechanics · Physics 2024-09-06 Chihiro Nakajima
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