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

A truncated icosahedron is a semi-regular 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.

The truncated icosahedron is one of the 13 solids of Archimedes.

Archimedean solids are semiregular polyhedra in the sense that their faces are regular polygons, but 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 the manufacture of a football. This becomes apparent after applying the black and white version of face painting.

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