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An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

Statistical Mechanics · Physics 2016-09-21 Ran Huang

Origami folded cylinders (origami bellows) have found increasingly sophisticated applications in space flight and medicine. In spite of this interest, a general understanding of the mechanics of an origami folded cylinder has been elusive.…

Soft Condensed Matter · Physics 2017-01-18 Austin Reid , Frederic Lechenault , Sergio Rica , Mokhtar Adda-Bedia

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

The recent development of modular origami structures has ushered in a new era for active metamaterials with multiple degrees of freedom (multi-DOF). Notably, no systematic inverse design approach for volumetric modular origami structures…

Materials Science · Physics 2022-12-13 Kai Xiao , Xiang Zhou , Jaehyung Ju

Mechanical waves that travel without inertia are often encountered in nature -- e.g. motion of plants -- yet such waves remain rare in synthetic materials. Here, we discover the emergence of slow kinks in overdamped metamaterials and we…

Soft Condensed Matter · Physics 2022-11-22 Shahram Janbaz , Corentin Coulais

Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when…

Computational Engineering, Finance, and Science · Computer Science 2020-09-08 Yucai Hu , Yexin Zhou , Haiyi Liang

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

Curve-fold origami, composed of developable panels joined along a curved crease, exhibits rich dynamic behaviors relevant to metamaterials and soft robotic systems. Despite multiple approximated models, a comprehensive and exact dynamical…

Soft Condensed Matter · Physics 2026-03-19 Zhixuan Wen , Sheng Mao , Huiling Duan , Fan Feng

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

Miniature robots provide unprecedented access to confined environments and show promising potential for novel applications such as search-and-rescue and high-value asset inspection. The capability of body deformation further enhances the…

Robotics · Computer Science 2023-07-21 Heiko Kabutz , Kaushik Jayaram

A surface is considered flexible if it allows a continuous deformation that preserves both metric and smoothness. We introduce a novel construction method, called 'base + crinkle,' for generating a broad class of non-self-intersecting…

Metric Geometry · Mathematics 2025-11-11 Zeyuan He , Simon D. Guest

An increasing interest in molecular structures whose long term dynamics resemble those of bistable mechanical systems promotes the search of possible candidates that may operate as two-state switching units. Of particular interest are the…

Soft Condensed Matter · Physics 2024-12-18 Alexander D. Muratov , Vladik A. Avetisov

Origami-inspired self-deployable structures offer lightweight, compact, and autonomous deployment capabilities, making them highly attractive for aerospace and defence applications, such as solar panels, antennas, and reflector systems.…

Soft Condensed Matter · Physics 2025-10-10 Suraj Singh Gehlot , Siddhanth Gautam , Sanhita Das

We are introducing a general framework for the construction of polyhedra and simplicial comlexes that are {\em bifoldable}, i.e. foldable into two two different planes. This vastly generalizes Origami folds known as the Miura pattern, the…

Differential Geometry · Mathematics 2018-09-07 Matthias Weber , Jiangmei Wu

Limbless creatures can crawl on flat surfaces by deforming their bodies and interacting with asperities on the ground, offering a biological blueprint for designing efficient limbless robots. Inspired by this natural locomotion, we present…

In this work, we propose a novel single-end morphing capacitive sensing method for shape tracking, FxC, by combining Folding origami structures and Capacitive sensing to detect the morphing structural motions using state-of-the-art sensing…

Human-Computer Interaction · Computer Science 2024-04-30 Lala Shakti Swarup Ray , Daniel Geißler , Bo Zhou , Paul Lukowicz , Berit Greinke

Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geometric building block of kirigami--the e-cone. We consider an…

Soft Condensed Matter · Physics 2022-03-14 Souhayl Sadik , Martin G. Walker , Marcelo A. Dias

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…

Recently there have been extensive theoretical, numerical and experimental works on curved-fold origami. However, we notice that a unified and complete geometric framework for describing the geometry and mechanics of curved-fold origami,…

Soft Condensed Matter · Physics 2025-03-12 Zhixuan Wen , Tian Yu , Fan Feng

We find a closed-form expression for the Poisson's coefficient of curved-crease variants of the ``Miura ori'' origami tessellation. This is done by explicitly constructing a continuous one-parameter family of isometric piecewise-smooth…

Soft Condensed Matter · Physics 2023-10-13 Asma Karami , Adam Reddy , Hussein Nassar