And yet it moves: Paradoxically moving linkages in kinematics

DOI10.1090/bull/1721zbMath1481.70021arXiv2004.12635OpenAlexW3137636070MaRDI QIDQ5860470

Josef Schicho

Publication date: 19 November 2021

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12635

zbMATH Keywords

compactificationfactorizationbond theoryhexapodrigidity theoryparadoxical mobilitymechanism scienceNAC-coloringmultipod

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (2)

Coupler curves of moving graphs and counting realizations of rigid graphs ⋮ A new line-symmetric mobile infinity-pod

Uses Software

• LamanGraphs

Cites Work

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• Liaison linkages
• Maxwell-independence: a new rank estimate for the 3-dimensional generic rigidity matroid
• A proof of the molecular conjecture
• Rigid components in molecular graphs
• Classification of 5R closed kinematic chains with self mobility.
• The axodes of the Bennett linkage
• Kempe's universality theorem for rational space curves
• Graphs with flexible labelings allowing injective realizations
• Graphs with flexible labelings
• Quartic spectrahedra
• Bond theory for pentapods and hexapods
• Mobile icosapods
• On graphs and rigidity of plane skeletal structures
• Planar linkages following a prescribed motion
• Symmetry as a Sufficient Condition for a Finite Flex
• Numerical algebraic geometry and algebraic kinematics
• On real determinantal quartics
• The Number of Realizations of a Laman Graph
• Geometric Fundamentals of Robotics
• On the Zeros of Polynomials over Division Rings

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