"I never thought there were corners in time, until I was told to stand in one" - Grace Slick from the song, "Hyperdrive".

In the episode about the shape of the universe, Dr. Gay talked about one possiblity is that the 3D universe is bent into the shape of a fourth dimensional hyper-dodecahedron - that way parallel lines remain parallel yet spacetime is still close. This is the first I have hear of this.

The thing that boggles my mind about this is the edges and the vertices. Are we going to have like a some big black holes at each vertex and would it be necessary to hold this shape. What effects would occur when you went around the edge?

This is so dulling my Occam's Razor! But I would like to learn more about the concept. I have to agree - dodecahedrons are cool. Sagan talked about how the Pythagoreans thought it was so weird, they kept it a secret.