The truncated pentakis dodecahedral graph, illustrated above in a pair of embeddings, is the skeleton of the truncated pentakis dodecahedron. It has 180 vertices, 270 edges, and 92 faces.
The Truncated Pentakis Dodecahedral graph is implemented in the Wolfram Language as GraphData[ t "TruncatedPentakisDodecahedralGraph"].