Date of Submission
This project explores the rigidity and flexibility of three-dimensional bar frameworks. A bar framework is a structure consisting of rigid bars connected at joints. The bars may freely move around the joints unless held in place by additional bars. A rigid bar framework is one in which none of the bars may move. Currently there is no complete classication for generically rigid bar frameworks in three dimensions. This project works toward such a classication by examining powers of cycles and trees, complete bipartite graphs, and graphs with very few vertices and low connectivity. It also explores applications to protein folding and hydrocarbon molecules.
Carver, Alexandra, "Generically Rigid Bar Frameworks in Three Dimensions" (2011). Senior Projects Spring 2011. 191.