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

14 total faces: 
6 squares and 8 regular hexagons

24 vertices: 
2 hexagons and 1 square

36 edges

Dihedral angles: 
125 degrees, 16 minutes for the sqr-hex angle, 
109 degrees, 28 minutes for the hex-hex angle