rhombicuboctahedron

plural rhombicuboctahedra · plural rhombicuboctahedrons

1. geometryAn Archimedean solid with eight triangular and eighteen square faces; the small rhombicuboctahedron.

   The gaps in a face-centered cubic packing of square sharing rhombicuboctahedra can be filled by cubes and tetrahedra (Fig. 2.4(h)).

   2009, Walter Steurer, Sofia Deloudi, Crystallography of Quasicrystals: Concepts, Methods and Structures, page 55

   2 more examples

   Therefore eight triangles and eighteen (that is, twelve and six) squares join up to make an icosihexahedron, which I call a truncated cuboctahedral rhombus or a rhombicuboctahedron.

   1997, Johannes Kepler, E. J. Aiton, Alistair Matheson Duncan, Judith Veronica Field, transl., The harmony of the world, American Philosophical Society, page 119

   So, for instance, covering up the right-hand side of our example (as in Figure 20.2(a)), we see that the rhombicuboctahedron does indeed have three types of face: two four-sided ones and one three-sided one.

   2016, John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things, page 273

   Synonyms: small rhombicuboctahedron

2. in compoundsEither of the small rhombicuboctahedron and great rhombicuboctahedron.