The Joy of Why cover image

Untangling Why Knots Are Important

The Joy of Why

CHAPTER

How to Create a Knotted Sphere in Four Dimensions

In the color model, we had these three dimensional slices of four space. And i'm going to try to create a knotted sphere, ok? So you're telling me that i can take a sphere and tie a knot in it if it lives in four dimensional space. Yes. In other words, every knot in 4D space is trivial - once you deform it to 2D or 3D shape,. You could actually deform it into a plane, two dimensionally within its bounds. That's what lisa piccarillo did with her work on whether knots have 11 crossings. I mean how should i think about this theory for my next project? It would be like standing in a long

00:00
Transcript
Play full episode

Remember Everything You Learn from Podcasts

Save insights instantly, chat with episodes, and build lasting knowledge - all powered by AI.
App store bannerPlay store banner