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Mathematics

The Geometry of a Soccer Ball: Truncated Icosahedra

Quick fact

A classic soccer ball is a truncated icosahedron, which is one of only 13 Archimedean solids. It has 32 faces: 12 regular pentagons and 20 regular hexagons.

Why this is interesting

You've seen a soccer ball thousands of times, but why does it look the way it does? Why are there those black pentagons and white hexagons — and could it be made of only one shape?