Origami embedding of piecewise-linear two-manifolds

DOI10.1007/s00453-010-9399-8zbMath1214.51007OpenAlexW3096028202MaRDI QIDQ627524

Barry Hayes, Marshall W. Bern

Publication date: 2 March 2011

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00453-010-9399-8

zbMATH Keywords

polyhedronisometric embeddingmetric geometrydisk packing

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polyhedral manifolds (52B70)

Related Items (5)

Continuous flattening of truncated tetrahedra ⋮ Continuous Flattening of Orthogonal Polyhedra ⋮ Continuous flattening of all polyhedral manifolds using countably infinite creases ⋮ Continuous flattening of the 2-dimensional skeleton of a regular 24-cell ⋮ Internal continuous flattening of polyhedra

Cites Work

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• The imbedding problem for Riemannian manifolds
• Some bendings of the long cylinder
• A flexible sphere
• The Bellows conjecture
• Optimally cutting a surface into a disk
• Linear-size nonobtuse triangulation of polygons
• \(C^1\) isometric imbeddings

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