3 papers
math.DG2026
Rigidity on compact surfaces through hyperbolic symmetries
Sean Dewar, Alison La Porta, Rebecca Monks +3
Generically the rigidity of bar-joint structures admits combinatorial characterisations in the Euclidean plane and, more generally, for frameworks on the sphere and the torus. The…
math.CO2024
Generic infinitesimal rigidity for rotational groups in the plane
Alison La Porta, Bernd Schulze
In this paper we establish combinatorial characterisations of symmetry-generic infinitesimally rigid frameworks in the Euclidean plane for rotational groups of order 4 and 6, and o…
math.CO2024
Rigidity of symmetric frameworks with non-free group actions on the vertices
Alison La Porta, Bernd Schulze
For plane frameworks with reflection or rotational symmetries, where the group action is not necessarily free on the vertex set, we introduce a phase-symmetric orbit rigidity matri…