33 citations · 62 across the 22 of their papers we have counts for
29 papers
Mobility of geometric constraint systems with extrusion symmetry
John Owen, Bernd Schulze
If we take a (bar-joint) framework, prepare an identical copy of this framework, translate it by some vector , and finally join corresponding points of the two copies, then we o…
Rigidity of symmetric frameworks on the cylinder
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…
States of self-stress in symmetric frameworks and applications
Bernd Schulze, Cameron Millar, Arek Mazurek +1
We use the symmetry-extended Maxwell rule established by Fowler and Guest to detect states of self-stress in symmetric planar frameworks. The dimension of the space of self-stresse…
Braced triangulations and rigidity
James Cruickshank, Eleftherios Kastis, Derek Kitson +1
We consider the problem of finding an inductive construction, based on vertex splitting, of triangulated spheres with a fixed number of additional edges (braces). We show that for…
Symmetric contact systems of segments, pseudotriangulations and inductive constructions for corresponding surface graphs
James Cruickshank, Bernd Schulze
We characterise the quotient surface graphs arising from symmetric contact systems of line segments in the plane and also from symmetric pointed pseudotriangulations in the case wh…
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…