cuboctahedron

Blend of cube +‎ octahedron, reflecting the fact that it can be regarded both as a rectified cube and a rectified octahedron.

cuboctahedron (plural cuboctahedrons or cuboctahedra)

1. (geometry) An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.
   • 1976, Hugh Kenner, Geodesic Math and how to Use it‎, page 21:

     There are just two polyhedra that will fulfill these conditions: the cuboctahedron and the icosidodecahedron (Diagram 3.3).

   • 2008, M. E. Gruner, Georg Rollmann, Alfred Hucht, Peter Entel, Structural and Magnetic Proprties of Transition Metal Nanoparticles from First Principles, Rolf Haug (editor), Advances in Solid State Physics 47, page 124,

     In the case of perfect, symmetric L1₀ cuboctahedra, two of the (001)-surfaces have to be terminated completely with either iron or platinum.

   • 2009, Walter Steurer, Sofia Deloudi, Crystallography of Quasicrystals: Concepts, Methods and Structures, page 54,

     Octahedra are also needed to make the packing of square-sharing cuboctahedra space filling (Fig. 2.4(c)).

   • 2015, Ke Jiang, Antoliy O. Pinchuk, Chapter Two: Noble Metal Nanomaterials: Synthetic Routes, Fundamental Properties, and Promising Applications, Robert E. Camley, Robert L. Stamps (editors), Solid State Physics, Volume 66, Elsevier, page 151,

     Yang and coworkers have prepared Pt cuboctahedrons and cubes by reducing K₂PtCl₄ with H₂ generated in situ from the hydrolysis of NaBH₄ in the presence of tetradecyltrimethylammonium bromide as a surfactant [157,158].

• heptaparallelohedron

• great rhombicuboctahedron
• rhombicuboctahedron
• snub cuboctahedron
• truncated cuboctahedron

• cuboctohedral

• cubohemioctahedron
• octahemioctahedron

• Cuboctahedron on Wolfram MathWorld