Symmetry as a Sufficient Condition for a Finite Flex

DOI10.1137/090776238zbMath1218.52020arXiv0911.2424OpenAlexW2046979782MaRDI QIDQ3013131

Bernd Schulze

Publication date: 18 July 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2424

zbMATH Keywords

mechanismfinite motionsymmetric frameworksbar and joint frameworksinfinitesimal motionrigid and flexible frameworks

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Applications of group representations to physics and other areas of science (20C35)

Related Items (14)

Symmetry-forced rigidity of frameworks on surfaces ⋮ Matroids of gain graphs in applied discrete geometry ⋮ Rigidity of Frameworks on Expanding Spheres ⋮ Combinatorics of Bricard's octahedra ⋮ How does symmetry impact the flexibility of proteins? ⋮ Pairing symmetries for Euclidean and spherical frameworks ⋮ Finite motions from periodic frameworks with added symmetry ⋮ The orbit rigidity matrix of a symmetric framework ⋮ Geometry and topology of symmetric point arrangements ⋮ Coning, symmetry and spherical frameworks ⋮ The icosahedra of edge length 1 ⋮ And yet it moves: Paradoxically moving linkages in kinematics ⋮ Mobility in Symmetry-Regular Bar-and-Joint Frameworks ⋮ Gain-sparsity and symmetry-forced rigidity in the plane

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