Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern

DOI10.1098/rspa.2016.0705zbMath1404.53010OpenAlexW2580424587WikidataQ50976049 ScholiaQ50976049MaRDI QIDQ4646848

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Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0705

zbMATH Keywords

origamiform findingfloppy modesmetasurfaceeggbox

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Polyhedral manifolds (52B70)

Related Items (3)

Hidden symmetries generate rigid folding mechanisms in periodic origami ⋮ \(H^2\)-conformal approximation of Miura surfaces ⋮ Mechanical metamaterials: a state of the art

Cites Work

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• On the cutting of garments -- variation about a theme of Tchebychev
• (Non)Existence of pleated folds: How paper folds between creases
• Modelling the folding of paper into three dimensions using affine transformations
• Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than \(2\pi\)
• Triangular buckling patterns of twisted inextensible strips
• Acoustic cloaking theory
• On the Existence of Global Tchebychev Nets

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