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Related papers: Slender Origami with Complex 3D Folding Shapes

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A folded disk is bistable, as it can be popped through to an inverted state with elastic energy localized in a small, highly-deformed region on the fold. Cutting out this singularity relaxes the surrounding material and leads to a loss of…

Soft Condensed Matter · Physics 2021-05-25 T. Yu , I. Andrade-Silva , M. A. Dias , J. A. Hanna

Non-rigid origami patterns could provide more versatile performance than their rigid counterparts in the design of mechanical metamaterials owing to the simultaneous deformation of facets and creases, but their complex deformation modes…

Soft Condensed Matter · Physics 2021-09-28 Shixi Zang , Jiayao Ma , Yan Chen

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

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…

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…

Origami design principles are scale invariant and enable direct miniaturization of origami structures provided the sheets used for folding have equal thickness to length ratios. Recently, seminal steps have been taken to fabricate…

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

An "origami" (or flat structure) on a closed oriented surface, $S_g$, of genus $g \geq 2$ is obtained from a finite collection of unit Euclidean squares by gluing each right edge to a left one and each top edge to a bottom one. The main…

Geometric Topology · Mathematics 2021-05-11 Hong Chang , Xifeng Jin , William W. Menasco

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

3D printing of high-quality silica photonic structures is particularly challenging, as surface roughness at the nanoscale can severely degrade optical performance through scattering losses. Here, we develop a technique to fold ultrasmooth…

Optics · Physics 2025-07-08 Manya Malhotra , Ronen Ben-Daniel , Fan Cheng , Tal Carmon

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

Origami-inspired robots are of particular interest given their potential for rapid and accessible design and fabrication of elegant designs and complex functionalities through cutting and folding of flexible 2D sheets or even strings,…

Robotics · Computer Science 2021-12-06 Wenzhong Yan , Ankur Mehta

In this paper, we will show methods to interpret some rigid origami with higher degree vertices as the limit case of structures with degree-4 supplementary angle vertices. The interpretation is based on separating each crease into two…

Metric Geometry · Mathematics 2017-09-12 Thomas C. Hull , Tomohiro Tachi

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

A characterization of real numbers constructible by paper folding.

History and Overview · Mathematics 2007-09-21 Antonio M. Oller

An origami manifold is a manifold equipped with a closed 2-form which is symplectic except on a hypersurface where it is like the pullback of a symplectic form by a folding map and its kernel fibrates with oriented circle fibers over a…

Symplectic Geometry · Mathematics 2016-11-03 A. Cannas da Silva , V. Guillemin , A. R. Pires

Soft robotic grippers gently and safely manipulate delicate objects due to their inherent adaptability and softness. Limited by insufficient stiffness and imprecise force control, conventional soft grippers are not suitable for applications…

Robotics · Computer Science 2025-03-04 Zhenwei Ni , Chang Xu , Zhihang Qin , Ceng Zhang , Zhiqiang Tang , Peiyi Wang , Cecilia Laschi

Recently, inflatable elements integrated in robotics systems have enabled complex motions as a result of simple inputs. However, these fluidic actuators typically exhibit unimodal deformation upon inflation. Here, we present a new design…

Robotics · Computer Science 2021-12-03 Antonio Elia Forte , David Melancon , Leon M. Kamp , Benjamin Gorissen , Katia Bertoldi

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

This research proposes a novel adjustable algorithm for reconstructing 3D body shapes from front and side silhouettes. Most recent silhouette-based approaches use a deep neural network trained by silhouettes and key points to estimate the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Aref Hemati , Azam Bastanfard