Generic symmetry-forced infinitesimal rigidity: translations and rotations

19 Jun 2020 Bernstein Daniel Irving

We characterize the combinatorial types of symmetric frameworks in the plane that are minimally generically symmetry-forced infinitesimally rigid when the underlying symmetry group consists of rotations and translations. Along the way, we use tropical geometry to show how a construction of Edmonds and Rota that associates a matroid to a submodular function can be used to give a description of the algebraic matroid underlying a Hadamard product of two linear spaces in terms of the matroids underlying each linear space... (read more)

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Categories


  • COMBINATORICS
  • ALGEBRAIC GEOMETRY
  • METRIC GEOMETRY