Non-rigidity of spherical inversive distance circle packings

DOI10.1007/s00454-012-9399-3zbMath1268.52016arXiv1105.1469OpenAlexW2077265709MaRDI QIDQ411403

Jean-Marc Schlenker, Jiming Ma

Publication date: 4 April 2012

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

Full work available at URL: https://arxiv.org/abs/1105.1469

zbMATH Keywords

rigidityinversive distance circle packing

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (9)

Rigidity of inversive distance circle packings revisited ⋮ Packing disks by flipping and flowing ⋮ Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns ⋮ On a combinatorial curvature for surfaces with inversive distance circle packing metrics ⋮ Ma-Schlenker \(c\)-octahedra in the 2-sphere ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem ⋮ Rigidity of circle polyhedra in the $2$-sphere and of hyperideal polyhedra in hyperbolic $3$-space ⋮ Almost all circle polyhedra are rigid ⋮ Parameterized combinatorial curvatures and parameterized combinatorial curvature flows for discrete conformal structures on polyhedral surfaces

Cites Work

• Unnamed Item
• Examples of infinitesimally flexible 3-dimensional hyperbolic cone-manifolds
• Rigidity of polyhedral surfaces. III.
• Metrics on hyperbolic convex polyhedra
• A rigidity criterion for non-convex polyhedra
• Dihedral angles of convex polyhedra
• Top mass dependent \(\mathcal{O}\left( {\alpha_s^3} \right)\) corrections to \(B\)-meson mixing in the MSSM
• Uniformizing dessins and Belyĭ maps via circle packing

This page was built for publication: Non-rigidity of spherical inversive distance circle packings