Bending a Soccer Ball

Since about 1970, soccer balls have been stitched or glued together from 32 patches of material—12 of them five-sided and 20 of them six-sided. These patches are arranged so that each pentagon is surrounded by hexagons. Traditionally, the pentagons are colored black and the hexagons white.

A truncated icosahedron (left) and a standard soccer ball (right).