4 papers
Non-Euclidean Crystallographic Rigidity
Jack Esson, Eleftherios Kastis, Bernd Schulze
This paper establishes combinatorial characterisations of forced-symmetric and forced-periodic rigidity (under a fixed lattice) of bar-joint frameworks in non-Euclidean normed plan…
Triangulated spheres with holes in triangulated surfaces
Katie Clinch, Sean Dewar, Niloufar Fuladi +6
Let denote a sphere with holes. Given a triangulation of a surface , we consider the question of when contains a spanning subgraph such t…
The Rigid Unit Mode spectrum for symmetric frameworks
Eleftherios Kastis, Derek Kitson
We establish several fundamental properties of the Rigid Unit Mode (RUM) spectrum for symmetric frameworks with a discrete abelian symmetry group and arbitrary linear constraints.…
Orientation-Reversing Crystallographic Rigidity
Jack Esson, Eleftherios Kastis, Bernd Schulze
This paper provides a combinatorial characterisation for generic forced symmetric rigidity of bar-joint frameworks in the Euclidean plane that are symmetric with respect to the ori…