92 citations · 140 across the 14 of their papers we have counts for
16 papers
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…
Rigidity of frameworks on expanding spheres
Anthony Nixon, Bernd Schulze, Shin-ichi Tanigawa +1
A rigidity theory is developed for bar-joint frameworks in whose vertices are constrained to lie on concentric -spheres with independently variable radii. In…
Symmetry adapted Assur decompositions
Anthony Nixon, Bernd Schulze, Adnan Sljoka +1
Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly…
Coning, symmetry and spherical frameworks
Bernd Schulze, Walter Whiteley
In this paper, we combine separate works on (a) the transfer of infinitesimal rigidity results from an Euclidean space to the next higher dimension by coning, (b) the further trans…
Directed Graphs, Decompositions, and Spatial Linkages
Offer Shai, Adnan Sljoka, Walter Whiteley
The decomposition of a linkage into minimal components is a central tool of analysis and synthesis of linkages. In this paper we prove that every pinned d-isostatic (minimally rigi…