Properties of the truncated icosahedron: Number of faces, edges and dihedral angle measure

The truncated icosahedron is created by truncating (cutting off) the tips of the icosahedron one third of the way into each edge

32 total faces: 
12 regular pentagons and 20 regular hexagons

60 vertices: 
2 hexagons and 1 pentagon

90 edges

Dihedral angles: 
138 degrees, 11 minutes for the hex-hex angle, 
142 degrees, 37 minutes for the hex-pent angle