Department of Mathematics, Statistics and Applied Mathematics, NUIG

Geometric Rigidity Theory

Consider a collection of objects that are joined together by hinges. Is the resulting structure rigid? This is the basic question at the heart of geometric rigidity theory. There is a growing literature that considers various types of objects, types of hinges and notions of rigidity. The theory draws on graph and matroid theory, linear algebra and real algebraic geometry. It is also notable for its diverse domains of application - from protein flexibility analysis to structural engineering to contemporary art.