QUOTE : The American mathematician Jeffrey Weeks analysed the statistics of these fluctuations for manifolds with a variety of topologies. One possibility fitted the data very closely, leading the media to announce that the universe is shaped like a football (US: soccer ball). This was an inevitable metaphor for a shape that goes back to Poincaré: the dodecahedral space. In the early twenty-first century footballs were made by sewing or gluing together 12 pentagons and 20 hexagons to make what mathematicians call a truncated icosahedron – an icosahedron with the corners cut off. An icosahedron is a regular solid with 20 triangular faces, arranged five to a corner. The dodecahedron, which has 12 pentagonal faces, gets into the act because the centres of the faces of an icosahedron form a dodecahedron, so both solids have the same symmetries. ‘Football’ is more media-friendly, albeit technically imprecise.