2 papers
math.DG2020
Discrete Curvature and Torsion from Cross-Ratios
Christian Müller, Amir Vaxman
Motivated by a Möbius invariant subdivision scheme for polygons, we study a curvature notion for discrete curves where the cross-ratio plays an important role in all our key defini…
math.CO2019
Geometric criteria for realizability of tensegrities in higher dimensions
Oleg Karpenkov, Christian Müller
In this paper we study a classical Maxwell question on the existence of self-stresses for frameworks, which are called tensegrities. We give a complete answer on geometric conditio…