# Knots in 4D

films

Knots in 4D

## Crédits

Created by Ester Dalvit, 2016 at University of Toronto and University of Camerino.
from musope.org, incompetech.com, freemusicarchive.org, freesound.org
Avec le soutien de:
INdAM Fellowships in Mathematics and/or applications cofunded by Marie Curie Actions

4D-knots: what are they? Can we visualize them?
Are there interesting math problems about them?

The film is divided in three parts:

1. Knots in 3D. Here we introduce notation and concepts for usual knots. 3D-knots are represented in 2D.
2. Knotted surfaces in 4D. Parallel of part 1, in one dimension more! 4D-knots are represented as 3D objects (on a 2D screen, alas!).
3. Ribbon knotted surfaces. A particular type of 4D-knots, maybe the “simplest” ones to describe. They have different representations and analyzing them we meet open questions in maths!

Part 1: Knots in 3D: https://www. youtube.com/watch?v=nYz3pRk1cCA
Part 2: Knotted surfaces in 4D: https://www. youtube.com/watch?v=h68AxRiGxBw
Part 3: Ribbon knotted surfaces: https://www. youtube.com/watch?v=p5tPb5yN-CE