Icosahedron - As A Graph

As A Graph

The skeleton of the icosahedron—the vertices and edges—form a graph. The high degree of symmetry of the polygon is replicated in the properties of this graph, which is distance-transitive, distance-regular, and symmetric. The automorphism group has order 120. The vertices can be colored with 4 colors, the edges with 5 colors, and the diameter is 3.

The icosahedral graph is Hamiltonian: there is a cycle containing all the vertices. It is also a planar graph.

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Famous quotes containing the word graph:

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    —Marshall McLuhan (1911–1980)