Editing Truncated icosahedron (section)

{{Short description|A polyhedron resembling a soccerball}}
{{CS1 config|mode=cs1}}
{{infobox polyhedron
 | name = Truncated icosahedron
 | image = File:Truncatedicosahedron.jpg
 | type = [[Archimedean solid]]<br>[[Uniform polyhedron]]<br>[[Goldberg polyhedron]]
 | faces = 32
 | edges = 90
 | vertices = 60
 | symmetry = [[Icosahedral symmetry]] <math> \mathrm{I}_{\mathrm{h}} </math>
 | vertex_figure = File:Polyhedron truncated 20 vertfig.svg
 | net = File:Polyhedron truncated 20 net compact.svg
 | dual = [[Pentakis dodecahedron]]
}}
[[File:Truncated icosahedron.stl|thumb|3D model of a truncated icosahedron]]

In [[geometry]], the '''truncated icosahedron''' is a polyhedron that can be constructed by [[Truncation (geometry)|truncating]] all of the [[regular icosahedron]]'s vertices. Intuitively, it may be regarded as [[Ball (association football)|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]].