Rigidity and polarity. II: Weaving lines and tensegrity frameworks

DOI10.1007/BF00181341zbMath0675.51008OpenAlexW1530473604MaRDI QIDQ1122140

Walter J. Whiteley

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00181341

zbMATH Keywords

rigiditymovabilitytensegrity frameworksweaving lines

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Kinematics of mechanisms and robots (70B15) Graph theory (05C99) Euclidean analytic geometry (51N20)

Related Items (16)

Weaving patterns of lines and line segments in space ⋮ Isostatic bar and joint frameworks in the plane with irreducible pure conditions ⋮ Skeletal rigidity of simplicial complexes. II ⋮ Bending of surfaces. II ⋮ Configurations of lines in space and combinatorial rigidity ⋮ Point-hyperplane frameworks, slider joints, and rigidity preserving transformations ⋮ Weavings, sections and projections of spherical polyhedra ⋮ Counting and cutting cycles of lines and rods in space ⋮ Combinatorial obstructions to the lifting of weaving diagrams ⋮ Configurations of few lines in 3-space. Isotopy, chirality and planar layouts ⋮ Almost flat line configurations ⋮ Projective background of the infinitesimal rigidity of frameworks ⋮ An infinite sequence of non-realizable weavings ⋮ Some nonrealizable line diagrams ⋮ A homological interpretation of skeletal ridigity ⋮ Iterative universal rigidity

Cites Work

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• Infinitesimal motions of a bipartite framework
• Weavings, sections and projections of spherical polyhedra
• When is a bipartite graph a rigid framework?
• Rigidity and polarity. I: Statics of sheet structures
• Duality between plane trusses and grillages
• The Algebraic Geometry of Stresses in Frameworks
• Tensegrity Frameworks

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