3 papers
math.CO2024
The Stress-Flex Conjecture
Robert Connelly, Steven J. Gortler, Louis Theran +1
Recently, it has been proven that a tensegrity framework that arises from coning the one-skeleton of a convex polytope is rigid. Since such frameworks are not always infinitesimall…
math.MG2023
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 (…
math.MG2022
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…