activity
20162021
most citedPoint-hyperplane frameworks, slider joints, and rigidity preserving transformations

2 citations · 2 across the 3 of their papers we have counts for

collaborators

6 papers

math.CO2021

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…

math.CO2020

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…

math.CO2019

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…

math.MG2018

Rigidity of symmetric frameworks in normed spaces

Derek Kitson, Anthony Nixon, Bernd Schulze

We develop a combinatorial rigidity theory for symmetric bar-joint frameworks in a general finite dimensional normed space. In the case of rotational symmetry, matroidal Maxwell-ty…

math.CO20172 cited

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…

math.CO2016

Rigid cylindrical frameworks with two coincident points

Bill Jackson, Viktoria Kaszanitzky, Anthony Nixon

We develop a rigidity theory for frameworks in which have two coincident points but are otherwise generic and only infinitesimal motions which are tangential to a fa…