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A polyhedron is obtained by successively cutting off each of the vertices of the icosahedron.

A truncated icosahedron is a semiregular convex polyhedron with two properties:

1. All faces are regular polygons of two types - a hexagon and a pentagon;

2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.

Archimedean solids are semiregular polyhedra in the sense that their faces are regular polygons. Still, they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral, or icosahedral is preserved.

The main feature of this polyhedron is that its shape served as the basis for football manufacture. This becomes apparent after applying the black and white version of face painting.

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