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

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

14 total faces: 
8 equilateral triangles and 6 regular octagons

24 vertices: 
2 octagons and 1 triangle

36 edges

Dihedral angles:  
125 degrees, 16 minutes for the oct-tri angle, 
90 degrees for the oct-oct angle