11 citations · 22 across the 12 of their papers we have counts for
Showing math.MGShow all
3 papers · 1 filter
math.MG2020
Catastrophe in Elastic Tensegrity Frameworks
Alexander Heaton, Sascha Timme
We discuss elastic tensegrity frameworks made from rigid bars and elastic cables, depending on many parameters. For any fixed parameter values, the stable equilibrium position of t…
math.MG2020★ 1 cited
Epsilon local rigidity and numerical algebraic geometry
Andrew Frohmader, Alexander Heaton
A well-known combinatorial algorithm can decide generic rigidity in the plane by determining if the graph is of Pollaczek-Geiringer-Laman type. Methods from matroid theory have bee…
math.MG2019
Nonlinear algebra with tensegrity structures
Alexander Heaton
In this paper, we discuss tensegrity from the perspective of nonlinear algebra in a manner accessible to undergraduates. We compute explicit examples and include the SAGE and Julia…