Rigidity and polarity. I: Statics of sheet structures

DOI10.1007/BF00147940zbMath0618.51006OpenAlexW3163877190MaRDI QIDQ1822355

Walter J. Whiteley

Publication date: 1987

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147940

zbMATH Keywords

infinitesimal rigiditybalancedual frameworkgeneralized frameworkjointed sheetworksprojective polaritiesrigid polyhedra

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Polyhedra and polytopes; regular figures, division of spaces (51M20) Kinematics of mechanisms and robots (70B15) Differential geometric aspects in kinematics (53A17) Euclidean analytic geometry (51N20)

Related Items (10)

An atlas of regular thin geometries for small groups ⋮ Skeletal rigidity of simplicial complexes. II ⋮ Bending of surfaces. II ⋮ Rigidity and polarity. II: Weaving lines and tensegrity frameworks ⋮ Point-hyperplane frameworks, slider joints, and rigidity preserving transformations ⋮ Invariant computations for analytic projective geometry ⋮ A proof of the molecular conjecture ⋮ Projective background of the infinitesimal rigidity of frameworks ⋮ A homological interpretation of skeletal ridigity ⋮ Iterative universal rigidity

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