These very strange universes could theoretically be possible

The video explores the concept of wrap around effects in 2D and 3D universes, using examples like the game of asteroids and a 3-torus. It discusses how light behaves in these universes, creating the illusion of infinite space. The video also delves into different geometries of the universe, including flat, spherical, and hyperbolic spaces, and introduces Euclidean three manifolds. It concludes by considering the possibility of non-flat universes and their implications on light and perception.

How does the concept of a Klein bottle relate to the discussion of the universe's shape?

What is the role of mathematical models in understanding the universe's geometry?

What challenges are associated with finding copies of our solar system in the universe?

In what ways do the different shapes of the universe affect our perception of it?