Tensegrity structures are now more than 60-years old, since their birth as artworks.
However, they are not “old” nor out of fashion! On the contrary, they are becoming more and …

This introduction to the theory of rigid structures explains how to analyze the performance of
built and natural structures under loads, paying special attention to the role of geometry. The …

Recent results have confirmed that the global rigidity of bar-and-joint frameworks on a graph
G is a generic property in Euclidean spaces of all dimensions. Although it is not known if …

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

This paper is based on the material I presented at the Research Institute for Mathematical
Sciences (RIMS), Kyoto University, in October 2012 in a series of lectures. Thus, on one …

Chapter 61 described the basic theory of infinitesimal rigidity of bar and joint structures and
a number of related structures. In this chapter, we consider the stronger properties of: Global …

A framework is a graph and a map from its vertices to\mathbb E^ d E d (for some dd). A
framework is universally rigid if any framework in any dimension with the same graph and …

In the network localization problem the goal is to determine the location of all nodes by using
only partial information on the pairwise distances (and by computing the exact location of …

AL Cauchy proved that if the vertex-edge graphs of two convex polyhedra are isomorphic
and corresponding faces are congruent then the two polyhedra are the same. This result …

In 1947 a young artist named Kenneth Snelson invented an intriguing structure: a few sticks
suspended rigidly in mid air without touching each other. It seemed like a magic trick. He …