The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus

Abstract

We present necessary and sufficient conditions for the generic rigidity of body-bar frameworks on the three-dimensional fixed torus. These frameworks correspond to infinite periodic body-bar frameworks in ${\mathbb{R}}^3$ with a fixed periodic lattice.

31 pages, 12 figures

References in corpus (3)

• Generic combinatorial rigidity of periodic frameworks
• Matroids of Gain Graphs in Applied Discrete Geometry
• Periodic body-and-bar frameworks

Cited by in corpus (1)

• Matroids of Gain Graphs in Applied Discrete Geometry