4 papers
Intrinsic Rigidity of Bar-and-Joint Frameworks on Riemannian Manifolds
Matthias Adrian-Himmelmann
We develop an intrinsic rigidity theory for bar-and-joint frameworks whose vertices are constrained to a Riemannian manifold and whose edges are given by minimizing geodesic arcs.…
Deformations and second-order rigidity of polytopes
Matthias Adrian-Himmelmann, Martin Winter, Zhen Zhang
We study deformations of polytopes that preserve edge lengths and face coplanarities. This gives rise to a notion of rigidity, for which we develop a second-order theory together w…
Approximating Continuous Motions of Geometric Constraint Systems
Matthias Adrian-Himmelmann
The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint syste…
PyRigi -- a general-purpose Python package for the rigidity and flexibility of bar-and-joint frameworks
Matteo Gallet, Georg Grasegger, Matthias Himmelmann +1
We present PyRigi, a novel Python package designed to study the rigidity properties of graphs and frameworks. Among many other capabilities, PyRigi can determine whether a graph ad…