A
Hopf map is an interesting way to explore a 4-dimensional structure: it maps each point in a sphere (bottom) to a circle in a 4-dimensional sphere.
replaynext - 1/4A set of points along the equator unveil an interesting structure: the flat torus. A torus that you can flip upside-down.
replaynext - 2/4You are probably now thinking "but what does a 4D sphere actually look like?" You can't really
see it, but here we use a stereographical projection to show some points of a 4D sphere into 3D space.
replaynext - 3/4