The Truncated Icosahedron

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