Lecture
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.