Wiktionary
n. (context geometry English) a polyhedron with thirty-two faces; 12 regular pentagonal faces, 20 regular hexagonal faces and is one of the Archimedean solids.
Wikipedia
In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.
It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
It is the Goldberg polyhedron G(1,1), containing pentagonal and hexagonal faces.
This geometry is associated with footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes such as those whose architecture Richard Buckminister Fuller pioneered are often based on this structure. It also corresponds to the geometry of the fullerene C ("buckyball") molecule.
It is used in the cell-transitive hyperbolic space-filling tessellation, the bitruncated order-5 dodecahedral honeycomb.
Usage examples of "truncated icosahedron".
A soccer ball rolled up to the bench, the spherically wondrous geometry of a truncated icosahedron.
It was a fourth-dimensional expression of a truncated icosahedron.
Technically, this form is called a truncated icosahedron, but the name is neither suggestive nor catchy.