72 citations · 250 across the 57 of their papers we have counts for
22 papers · 1 filter
On weavings, grillages, tensegrities, and frameworks
Cameron Millar, Bernd Schulze, Louis Theran
We investigate the stability of discrete structures comprising of woven elastic beams in a plane, exposing a connection between admissible over / under patterns and the first-order…
Uniquely realizable crystalline structures
Sean Dewar, Bernd Schulze, Shin-ichi Tanigawa +1
We construct infinite periodic versions of the stress matrix and establish sufficient conditions for periodic tensegrity frameworks to be globally rigid in in the ca…
Higher Order Rigidity and Energy
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
In this paper, we revisit the notion of higher-order rigidity of a bar-and-joint framework. In particular, we provide a link between the rigidity properties of a framework, and the…
Equilibrium stresses in frameworks via symmetric averaging
Cameron Millar, Bernd Schulze, Louis Theran
For a bar-joint framework , a subgroup of the automorphism group of , and a subgroup of the orthogonal group isomorphic to , we introduce a symmetric averaging map…
General position stresses
Robert Connelly, Steven J. Gortler, Louis Theran
Let be a graph with vertices, and be a target dimension. In this paper we study the set of rank matrices that are equilibrium stress matrices for at least one (…
Universal Rigidity of Ladders on the line
Bryan Chen, Robert Connelly, Steven J. Gortler +2
In "Universal rigidity on the line, point orde" it is shown, answering a question of Jordán and Nguyen, that universal rigidity of a generic bar-joint framework in R^1 depends on m…