When is a Planar Rod Configuration Infinitesimally Rigid?
Signe Lundqvist,
Klara Stokes,
Lars-Daniel Öhman
Abstract:We investigate the rigidity properties of rod configurations. Rod configurations are realizations of rank two incidence geometries as points (joints) and straight lines (rods) in the Euclidean plane, such that the lines move as rigid bodies, connected at the points. Note that not all incidence geometries have such realizations. We show that under the assumptions that the rod configuration exists and is sufficiently generic, its infinitesimal rigidity is equivalent to the infinitesimal rigidity of generic frame… Show more
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