92 citations · 139 across the 14 of their papers we have counts for
4 papers · 1 filter
Projective rigidity of point-line configurations in the plane
Leah Berman, Signe Lundqvist, Bernd Schulze +4
In this paper, we establish a general setup for studying incidence-preserving motions of projective geometric configurations of points and lines via a "projective rigidity matrix".…
Equilibrium stressability of multidimensional frameworks
Oleg Karpenkov, Christian Müller, Gaiane Panina +3
We prove an equilibrium stressability criterium for trivalent multidimensional tensegrities. The criterium appears in different languages: (1) in terms of stress monodromies, (2) i…
Geometric Properties of Assur Graphs
Brigitte Servatius, Offer Shai, Walter Whiteley
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this pa…
Non-crossing frameworks with non-crossing reciprocals
David Orden, Guenter Rote, Francisco Santos +3
We study non-crossing frameworks in the plane for which the classical reciprocal on the dual graph is also non-crossing. We give a complete description of the self-stresses on non-…