The rhombicosahedral graph, illustrated above, is the skeleton of the icosidodecadodecahedron, rhombicosahedron and rhombidodecadodecahedron.
It will be implemented in the Wolfram Language as GraphData["RhombicosahedralGraph"].
Rhombicosahedral Graph
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Cite this as:
Weisstein, Eric W. "Rhombicosahedral Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RhombicosahedralGraph.html