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Related papers: Origami-Inspired Composite Springs with Bi-directi…

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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

Non-Euclidean surfaces are ubiquitous in numerous engineering fields, such as automotive, aerospace, and biomedical engineering domains. Morphing origami has numerous potential engineering applications, including soft robots, mechanical…

Materials Science · Physics 2023-12-13 Zihe Liang , Sibo Chai , Qinyun Ding , Kai Xiao , Ke Liu , Jiayao Ma , Jaehyung Ju

This paper shows a cut along a crease on an origami sheet makes simple modeling of popular traditional basic folds such as a squash fold in computational origami. The cut operation can be applied to other classical folds and significantly…

Computational Geometry · Computer Science 2022-01-04 Tetsuo Ida , Hidekazu Takahashi

We consider several quadrilateral origami tilings, including the Miura-ori crease pattern, allowing for crease-reversal defects above the ground state which maintain local flat-foldability. Using exactly solvable models, we show that these…

Mathematical Physics · Physics 2018-09-12 Michael Assis

The multi-branched Husimi recursive lattice has been extended to a virtual structure with fractional numbers of branches joined on one site. Although the lattice is undrawable in real space, the concept is consistent with regular Husimi…

Statistical Mechanics · Physics 2014-11-18 Ran Huang , Chong Chen

Origami-based mechanical metamaterials have recently received significant scientific interest due to their versatile and reconfigurable architectures. However, it is often challenging to account for all possible geometrical configurations…

Combinatorics · Mathematics 2021-07-13 Koshiro Yamaguchi , Hiromi Yasuda , Kosei Tsujikawa , Takahiro Kunimine , Jinkyu Yang

Orbital angular momentum (OAM) has attracted great interest in the past few decades due to its helical phase characteristics. It has been proved that Plane spiral OAM (PSOAM) has potential in pattern reconfiguration of azimuthal domain…

Classical Physics · Physics 2021-02-24 Zelin Zhu , Shilie Zheng , Xiaowen Xiong , Yuqi Chen , Xiaofeng Jin , Xianbin Yu , Xianmin Zhang

Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with different physical properties have been studied and utilized for…

Soft Condensed Matter · Physics 2025-07-24 Rongxuan Li , Gary P. T. Choi

We study the reversible crossover between stable and bistable phases of an over-damped Brownian bead inside an optical piston. The interaction potentials are solved developing a method based on Kramers' theory that exploits the statistical…

Optics · Physics 2015-05-06 Gabriel Schnoering , Cyriaque Genet

The emissivity of common materials remains constant with temperature variations, and cannot drastically change. However, it is possible to design its entire behaviour as a function of temperature, and to significantly modify the thermal…

Materials Science · Physics 2017-10-13 Nikolaos Athanasopoulos , Nicolaos J. Siakavellas

Digital coding metasurfaces have revolutionized electromagnetic (EM) manipulation, yet typical tunable approaches based on active components suffer from the "volatility" bottleneck. While mechanical modulation provides a potential solution,…

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

We propose a quasi-periodic structure (QPS) with topological defects. The analytical expression of the corresponding Fourier spectrum is derived, which reflects the combined effects of topological structure and quasitranslational symmetry.…

Optics · Physics 2019-09-04 Wang Zhang , Jie Tang , Peng Chen , Guo-xin Cu , Yang Ming , Wei Hu , Yan-qing Lu

Turing patterns in self-focussing nonlinear optical cavities pumped by beams carrying orbital angular momentum (OAM) $m$ are shown to rotate with an angular velocity $\omega = 2m/R^2$ on rings of radii $R$. We verify this prediction in 1D…

Pattern Formation and Solitons · Physics 2020-01-08 Alison M. Yao , Christopher J. Gibson , Gian-Luca Oppo

Origami is an ancient art that continues to yield both artistic and scientific insights to this day. In 2012, Buhler, Butler, de Launey, and Graham extended these ideas even further by developing a mathematical construction inspired by…

Rings and Algebras · Mathematics 2023-06-07 Deveena R. Banerjee , Sara Chari , Adriana Salerno

We develop recursion equations to describe the three-dimensional shape of a sheet upon which a series of concentric curved folds have been inscribed. In the case of no stretching outside the fold, the three-dimensional shape of a single…

Soft Condensed Matter · Physics 2012-12-17 Marcelo A. Dias , Christian D. Santangelo

Kirigami metamaterials dramatically change their shape through a coordinated motion of nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based planar kirigami featuring periodic patterns of quadrilateral…

Soft Condensed Matter · Physics 2023-06-16 Yue Zheng , Imtiar Niloy , Ian Tobasco , Paolo Celli , Paul Plucinsky

Foldable robots have been an active area of robotics research due to their high volume-to-mass ratio, easy packability, and shape adaptability. For locomotion, previously developed foldable robots have either embedded linear actuators in,…

Robotics · Computer Science 2026-01-30 Alex S. Miller , Leo McElroy , Jeffrey H. Lang

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

The ability to transform a flat sheet into a complex three-dimensional structure is a fundamental test of physical intelligence. Unlike cloth manipulation, origami is governed by strict geometric axioms and hard kinematic constraints, where…

Graphics · Computer Science 2026-04-06 Yanjia Huang , Yunuo Chen , Ying Jiang , Jinru Han , Zhengzhong Tu , Yin Yang , Chenfanfu Jiang
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