Cube, snub truncated

Fig. 9.9 The 13 Archimedean solids, in order of increasing number of vertices. Truncated tetrahedron (1), Cuboctahedron (2), Truncated cube (3), Truncated octahedron (4), Rhombicubocta-hedron (5), Snub cube (6), Icosidodecahedron (7),...

Snub Prisms is also called Diirer octahedron (see it on the painting Melencolia I by Dtirer, 1514, depicting the muse of mathematics at work) and it can be obtained by truncating Cube on two opposite vertices. 

In addition to the Platonic solids, there exists a family of 13 convex uniform polyhedra known as the Archimedean solids. Each member of this family is made up of at least two different regular polygons and may be derived from at least one Platonic solid through either truncation or twisting of faces (Figure 3, Table 2). In the case of the latter, two chiral members, the snub cube and the snub dodecahedron, are realized. The remaining Archimedean solids are achiral. 

Fig. 5 Spherical hosts based on the Archimedean solids (a) metal-organic cage (truncated tetrahedron), (b) calix[4]resorcinarene spheroid (snub cube), and (c) buckminsterfullerene (truncated icosahedron). (View this art in color at www.dekker.com.)...

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