Jack K
looks like a pattern of five hexagons placed around a pentagon
"This polyhedron can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. This creates 12 new pentagon faces, and leaves the original 20 triangle faces as regular hexagons. Thus the length of the edges is one third of that of the original edges."
icosa- is from the Ancient Greek eíkosi meaning twenty
Wikipedia: Truncated_icosahedron