There’s an interesting article titled Cosmos is ‘shaped like a football’ over at the BBC News website that talks about an article submitted to the journal Nature on the shape of the Universe. The proposed shape being that of a dodecahedral.
Dodecahedrons, and similar shapes, have long fascinated mankind. Plato believed that the Universe was made up of them.
Leonardo da Vinci also studied them, as did the great astronomer Kepler, who thought the structure of the Solar System was based on geometrical shapes.
Further observations, especially from space probes yet to be launched, may settle the matter, and may at last reveal the hidden geometry of the Universe.
Writing a commentary in Nature, George Ellis of the University of Cape Town, says we live in a Universe “with positively curved space sections and a non-standard topology”.
Indeed, a dodecahedral Universe, were you able to traverse it, would have some interesting properties.
If you went out to the edge of the dodecahedron, you would come back in through the opposite face.
While this has no practical application to day to day life, I still find it fascinating particularly as a video gamer who is fond of 3D games where the basic building blocks tend to be polygons.