Dictionary

cuboctahedron en · NOUN

Pronunciation

• (US) audio

Etymology

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

Meanings

1. An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.
   • There are just two polyhedra that will fulfill these conditions: the cuboctahedron and the icosidodecahedron (Diagram 3.3). 1976, Hugh Kenner, Geodesic Math and how to Use it, page 21:
   • 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].
   • Octahedra are also needed to make the packing of square-sharing cuboctahedra space filling (Fig. 2.4(c)). 2009, Walter Steurer, Sofia Deloudi, Crystallography of Quasicrystals: Concepts, Methods and Structures, page 54:
   • In the case of perfect, symmetric L1₀ cuboctahedra, two of the (001)-surfaces have to be terminated completely with either iron or platinum. 2008, M. E. Gruner, Georg Rollmann, Alfred Hucht, Peter Entel, “Structural and Magnetic Proprties of Transition Metal Nanoparticles from First Principles”, in Rolf Haug, editor, Advances in Solid State Physics 47, page 124:

Forms

Deriveds

snub cuboctahedron · great rhombicuboctahedron · rhombicuboctahedron · truncated cuboctahedron

Relateds

octahemioctahedron · cubohemioctahedron · cuboctahedral

Synonyms

heptaparallelohedron

Translations (11)

ko 육팔면체 (polyhedron with 8 triangular and 6 square faces) · it cubottaedro (polyhedron with 8 triangular and 6 square faces) · de Kuboktaeder (polyhedron with 8 triangular and 6 square faces) · fr cuboctaèdre (polyhedron with 8 triangular and 6 square faces) · fi kuboktaedri (polyhedron with 8 triangular and 6 square faces) · de Kubooktaeder (polyhedron with 8 triangular and 6 square faces) · de Kubo-Oktaeder (polyhedron with 8 triangular and 6 square faces) · es cuboctaedro (polyhedron with 8 triangular and 6 square faces) · ru кубоокта́эдр (polyhedron with 8 triangular and 6 square faces) · pl sześcio-ośmiościan (polyhedron with 8 triangular and 6 square faces) · ja 立方八面体 (polyhedron with 8 triangular and 6 square faces)