Truncated icosahedron

Truncated icosahedron
Type	Archimedean solid Uniform polyhedron Goldberg polyhedron
Faces	32
Edges	90
Vertices	60
Symmetry group	Icosahedral symmetry ${\displaystyle \mathrm {I} _{\mathrm {h} }}$
Dual polyhedron	Pentakis dodecahedron
Vertex figure
Net

In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. Intuitively, it may be regarded as footballs (or soccer balls) that are typically patterned with white hexagons and black pentagons. It can be found in the application of geodesic dome structures such as those whose architecture Buckminster Fuller pioneered are often based on this structure. It is an example of an Archimedean solid, as well as a Goldberg polyhedron.