networkx.generators.small.icosahedral_graph

icosahedral_graph(create_using=None)[source]

Returns the Platonic Icosahedral graph.

The icosahedral graph has 12 nodes and 30 edges. It is a Platonic graph whose nodes have the connectivity of the icosahedron. It is undirected, regular and Hamiltonian [1].

Parameters
create_usingNetworkX graph constructor, optional (default=nx.Graph)

Graph type to create. If graph instance, then cleared before populated.

Returns
Gnetworkx Graph

Icosahedral graph with 12 nodes and 30 edges.

References

1

https://mathworld.wolfram.com/IcosahedralGraph.html