On stratifications for planar tensegrities with a small number of   vertices
  In this paper we discuss several results about the structure of the configuration space of two-dimensional tensegrities with a small number of points. We briefly describe the technique of surgeries that is used to find geometric conditions for tensegrities. Further we introduce a new surgery for three-dimensional tensegrities. Within this paper we formulate additional open problems related to the stratification space of tensegrities. 
Oleg Karpenkov, Jan Schepers, Brigitte Servatius
math.CO math.MG