Definitions

A Tensegrity Framework

is an ordered finite collection of points in Euclidean space, called a configuration, with certain pairs of these points, called cables constrained not to get further apart; and certain pairs of these points, called struts constrained not to get closer together.

Super Stability

of a tensegrity means that all other tensegrities with the same underlying graph either violate one of the distance constraints or are congruent to the given tensegrity. (The other tensegrities could be in a different dimensional space, as well.)

Rigidity

of a tensegrity means that any continuous motion of the vertices which preserve the cable and strut conditions extends to an isometry of the ambient space.