truncated octahedron

truncated octahedron (plural truncated octahedra or truncated octahedrons)

1. A zonohedron that has 14 faces (eight regular hexagons and six squares) and 36 edges and is an Archimedean solid.
   • 1990, [1978], Peter Pearce, Structure in Nature Is a Strategy for Design, page 5:

     The closest packing of truncated octahedra can be considered to be a denser packing than that of the rhombic dodecahedron because in a space filling array each truncated octahedron is surrounded by 14 others corresponding to its 14 faces, while the rhombic dodecahedron is only surrounded by 12 like cells.

   • 1996, Serge Miguet, Annick Montanvert, editors, Discrete Geometry for Computer Imagery: 6th International Workshop, page 184:

     The K-complex is built by taking the truncated octahedrons as 3-cells, and its faces, edges and vertex^[sic] respectively as 2-cells, 1-cells, and 0-cells.

   • 2007, Rebecca L. Wolfe, Novel Gold Monolayer Protected Clusters: Synthesis, Characterization, Separation, and Functionalization, PhD Thesis, page 29,

     Many proposed MPC cores, including Au₁₄₀ and Au₂₂₅, are truncated octahedrons, referred to as TO+ because the shapes are (0 < n - m = 4), where n is the number of atoms between (111) facets and m is the number of atoms between (111) and (100) facets.

• (polyhedron with 14 faces): tetrakaidecahedron / tetrakaidekahedron