3 papers
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
Constructing isostatic frameworks for the plane
K. Clinch, D. Kitson
We use a new coloured multi-graph constructive method to prove that every 2-tree decomposition can be realised in the plane as a bar-joint framework which is minimally rigid (isost…
math.CO2016
Global rigidity of 2-dimensional direction-length frameworks
Katie Clinch, Bill Jackson, Peter Keevash
A 2-dimensional direction-length framework is a collection of points in the plane which are linked by pairwise constraints that fix the direction or length of the line segments joi…