“We are geometric topologists, and we are interested in visualising knots, surfaces and three-manifolds. Prompted by this, we design 3D printed models of these objects. This movie shows and explains some of the relevant mathematics.
Seifert surfaces are spanning surfaces for knots, in a similar way to how soap films span wire loops. The Seifert surfaces for torus knots have a beautiful representation as the Milnor fibers of polynomial singularities.”