Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations
Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations
We characterize the combinatorial types of symmetric frameworks in the plane that are minimally generically symmetry-forced infinitesimally rigid when the symmetry group consists of rotations and translations. Along the way, we use tropical geometry to show how a construction of Edmonds that associates a matroid to a submodular function can …