Dictionary

rhombicuboctahedron en · NOUN

Pronunciation

• (US) audio

Etymology

From Latin rhombicuboctahaedron, referring to the fact that the twelve of the square faces lie in the same planes as the twelve faces of the rhombic dodecahedron, the dual of the cuboctahedron. (See rhombicuboctahedron on Wikipedia.Wikipedia )

Meanings

1. An Archimedean solid with eight triangular and eighteen square faces; the small rhombicuboctahedron.
   • 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:
   • 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:
   • 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. (in-compounds) Either of the small rhombicuboctahedron and great rhombicuboctahedron.

Forms

Deriveds

pseudorhombicuboctahedron · great rhombicuboctahedron · quasirhombicuboctahedron · rhombicuboctahedral · pseudo-rhombicuboctahedron

Synonyms

small rhombicuboctahedron (polyhedron with 8 triangular and 18 square faces)

Translations (13)

ko 마름모육팔면체 (polyhedron with 8 triangular and 18 square faces) · uk ромбокубооктаедр (polyhedron with 8 triangular and 18 square faces) · ja 斜方立方八面体 (polyhedron with 8 triangular and 18 square faces) · it rombicubottaedro (polyhedron with 8 triangular and 18 square faces) · es rombicuboctaedro (polyhedron with 8 triangular and 18 square faces) · fr rhombicuboctaèdre (polyhedron with 8 triangular and 18 square faces) · de Rhombenkuboktaeder (polyhedron with 8 triangular and 18 square faces) · hu rombikuboktaéder (polyhedron with 8 triangular and 18 square faces) · pt rombicuboctaedro (polyhedron with 8 triangular and 18 square faces) · pl sześcio-ośmiościan rombowy mały (polyhedron with 8 triangular and 18 square faces) · fi rombikuboktaedri (polyhedron with 8 triangular and 18 square faces) · ru ромбокубооктаэдр (polyhedron with 8 triangular and 18 square faces) · ja 菱形立方八面体 (polyhedron with 8 triangular and 18 square faces)