Seifert surfaces – Saul Schleimer and Henry Segerman

“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.”

2015 Bridges Conference Short Movie Festival


Published by


"The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. " G H Hardy, A Mathematician's Apology (London 1941).

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s