The truncated icosidodecahedron is made up of 30 square faces, 20 regular hexagonal faces, 12 regular decagonal faces, 120 vertices and 180 edges. The dihedral angles for this Archimedean solid are as follows:
between a hexagonal face and a decagonal face: 142.62 degrees (6-10)
between a square face and a decagonal face: 148.28 degrees (4-10)
between a square face and a hexagonal face: 159.095 degrees (4-6)