Editing Truncated icosahedron (section)

== Truncated icosahedral graph ==
[[File:Truncated icosahedral graph.png|thumb|The truncated icosahedral graph]]
According to [[Steinitz's theorem]], the [[Skeleton (topology)|skeleton]] of a truncated icosahedron, like that of any [[convex polyhedron]], can be represented as a [[polyhedral graph]], meaning a [[planar graph]] (one that can be drawn without crossing edges) and [[k-vertex-connected graph|3-vertex-connected graph]] (remaining connected whenever two of its vertices are removed).{{r|negami}} The graph is known as '''truncated icosahedral graph''', and it has 60 [[Vertex (graph theory)|vertices]] and 90 edges. It is an [[Archimedean graph]] because it resembles one of the Archimedean solids. It is a [[cubic graph]], meaning that each vertex is incident to exactly three edges.{{r|rw|gr|kostant}}
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