Computational Exploration of Multistable Elastic Knots

This lecture explores the computational exploration of multistable elastic knots, focusing on mathematical knots, simulation of elastic rods, sampling knotted curves, and the shape space of the figure-eight knot. It delves into knot shapes data sets, the exploration of the shape space, and shape-based knot retrieval. The instructor discusses jumping knots, Alexander's theorem, knot types, higher crossing numbers, and applications. The lecture concludes with acknowledgements and founding sources.