Truncated Cuboctahedron

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

The truncated cuboctahedron is created by truncating (cutting off) the cuboctahedron one third of the way into each side

truncated octahedron

26 total faces: 
12 squares, 8 regular hexagons and 6 regular octagons

48 vertices: 
1 square, 1 hexagon and 1 octagon

72 edges

Dihedral angles 
135 degrees for the oct-sqr angle, 125 degrees, 
16 minutes for the oct-hex angle and 
144 degrees, 44 minutes for the hex-sqr angle