The cubic Archimedean graph on 60 nodes and 90 edges that is the skeleton of the truncated dodecahedron.
It is implemented in the Wolfram Language as GraphData["TruncatedDodecahedralGraph"].
It has LCF notation [30, , 2, 21, , 2, 12, , 2, , , 2, , , 2, 30, , 2, , , 2, 21, , 2, , , 2, 12, , .