A donut is not a sphere | Things you can do on one surface but not the other

The video explores the topological differences between a torus and a sphere, using the game Asteroids as an example. It explains why the universe in Asteroids is a torus, not a sphere, by examining movement patterns. The video also highlights unique properties of a torus, such as non-contractible loops and vector fields, and discusses graph theory problems that can be solved on a torus but not on a sphere.

What new insight or understanding did you gain from this video?