How to visualize objects in four-dimensional spaces? In topology research, mathematicians often have to deal with four-dimensional geometric objects beyond human imagination.
Fortunately, some manifolds in four-dimensional spaces can be corresponded to knots in the three dimensional sphere. This is an example of such a knot.
The image is based on a blackboard drawing with contribution from William Ballinger, Chloe Hsu, Wyatt Mackey, Yi Ni, Tynan Ochse, and Faramarz Vafaee.