A rigidity criterion for non-convex polyhedra

DOI10.1007/s00454-004-1102-xzbMath1083.52006arXivmath/0301333OpenAlexW2146408218MaRDI QIDQ1772128

Jean-Marc Schlenker

Publication date: 15 April 2005

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301333

zbMATH Keywords

flexible polyhedravolume of polyhedrainfinitesimal rigidity of polyhedra

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Differential geometric aspects in kinematics (53A17)

Related Items (13)

Hyper-ideal circle patterns with cone singularities ⋮ Ideal hyperbolic polyhedra and discrete uniformization ⋮ Non-rigidity of spherical inversive distance circle packings ⋮ Calculus of generalized hyperbolic tetrahedra ⋮ Circle patterns on singular surfaces ⋮ Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns ⋮ Fuchsian polyhedra in Lorentzian space-forms ⋮ Examples of infinitesimally flexible 3-dimensional hyperbolic cone-manifolds ⋮ On the infinitesimal rigidity of weakly convex polyhedra ⋮ Projective background of the infinitesimal rigidity of frameworks ⋮ On weakly convex star-shaped polyhedra ⋮ Weakly inscribed polyhedra ⋮ Hyperbolic manifolds with convex boundary

This page was built for publication: A rigidity criterion for non-convex polyhedra