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Snub cube

In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. It is a chiral polyhedron; that is, it has two distinct forms, which are mirror... Wikipedia
Dihedral angle: 3-3: 153°14′04″ (153.23°); 3-4: 142°59′00″ (142.98°)
Faces by sides: (8+24)+6
Rotation group: O,+, (432), order 24