The **cuboctahedron** is a tesserescae-decahedron (Gr.

The truncated cube is formed in the same manner as the **cuboctahedron**, but the truncation is only carried far enough to leave the original faces octagons.

Other examples of reciprocal holohedra are: the rhombic dodecahedron and **cuboctahedron**, with regard to the cube and octahedron; and the semiregular triacontahedron and icosidodecahedron, with regard to the dodecahedron and icosahedron.

Thus the faces of the **cuboctahedron**, the truncated cube, and truncated octahedron, correspond; likewise with the truncated dodecahedron, truncated icosahedron, and icosidodecahedron; and with the small and great rhombicosidodecahedra.