Editing Rhombicuboctahedron (section)

== Graph ==
[[File:Rhombicuboctahedral graph.png|thumb|The graph of a rhombicuboctahedron]]
The [[Skeleton (topology)|skeleton]] of a rhombicuboctahedron can be described as a [[polyhedral graph]], meaning a [[Graph (discrete mathematics)|graph]] that is [[Planar graph|planar]] and [[Vertex connectivity|3-vertex-connected]]. In other words, the edges of a graph are not crossed while being drawn, and removing any two of its vertices leaves a connected subgraph.

The rhombicuboctahedral graph has 24 [[Vertex (graph theory)|vertices]] and 48 edges. It is [[quartic graph|quartic]], meaning each of its vertices is connected to four others. This graph is classified as [[Archimedean graph]], because it resembles the graph of Archimedean solid.{{sfnp|Read|Wilson|1998|p=269}}
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