2 citations · 2 across the 3 of their papers we have counts for
7 papers · 1 filter
Rigidity of symmetric linearly constrained frameworks in the plane
Anthony Nixon, Bernd Schulze, Joseph Wall
A bar-joint framework is the combination of a finite simple graph and a placement . The framework is rigid if the only edge-length pr…
On the uniqueness of collections of pennies and marbles
Sean Dewar, Georg Grasegger, Kaie Kubjas +2
In this note we study the uniqueness problem for collections of pennies and marbles. More generally, consider a collection of unit -spheres that may touch but not overlap. Given…
Universal rigidity on the line, point order
Bryan Chen, Robert Connelly, Anthony Nixon +1
We show that universal rigidity of a generic bar and joint framework (G,p) in the line depends on more than the ordering of the vertices. In particular, we construct examples of on…
An improved bound for the rigidity of linearly constrained frameworks
Bill Jackson, Anthony Nixon, Shin-Ichi Tanigawa
We consider the problem of characterising the generic rigidity of bar-joint frameworks in in which each vertex is constrained to lie in a given affine subspace. The…
Pairing symmetries for Euclidean and spherical frameworks
Katie Clinch, Anthony Nixon, Bernd Schulze +1
In this paper we consider the effect of symmetry on the rigidity of bar-joint frameworks, spherical frameworks and point-hyperplane frameworks in . In particular we s…
Point-hyperplane frameworks, slider joints, and rigidity preserving transformations
Yaser Eftekhari, Bill Jackson, Anthony Nixon +3
A one-to-one correspondence between the infinitesimal motions of bar-joint frameworks in and those in is a classical observation by Pogorelov, and fur…