cuboctahedron


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cuboctahedron

[‚kyü¦bäk·tə′hē·drən]
(mathematics)
A polyhedron whose faces consist of six equal squares and eight equal equilateral triangles, and which can be formed by cutting the corners off a cube; it is one of the 13 Archimedean solids. Also spelled cubooctahedron.
References in periodicals archive ?
As a general rule, higher AR corresponds to resonances at higher wavelengths, while approaching to minimum AR, namely, 1, corresponds to blueshift of the spectra around 530 nm, the well-known dipolar resonance of spherical nanoparticles, which are nicely reproduced for the truncated cuboctahedron particle.
Buckminster Fuller realized the fundamental nature of the Vector Equilibrium (VE), a geometric structure, also called cuboctahedron. It is the only geometric form that has equal lengths for its edges and equal radial vectors to the center point of the VE (21).
The hexagonal close packed (HCP) lattice, also known as cuboctahedron, was used in [22].
The elementary neighbourhood on such grids is defined as a cuboctahedron (each pixel having twelve nearest neighbours) which is a shape closer to the sphere than the cube.
The sperrylite crystal is euhedral, without any point of attachment, and is cuboctahedral in habit with rounded edges that give curved outlines to the cuboctahedron faces, similar to the manner in which diamond crystals tend to be rounded.
Joseph DeVincentis suggested the cuboctahedron as a likely shape to use for solid forms--it offers a nice packing of reasonably long words.
A triangular cupola is obtained from a cuboctahedron (Fig 18) cut by a plane containing six edges forming a hexagon (plane ABC on Fig.
The following is an example of a conversation between a pair of subjects discussing the nature of the cuboctahedron:
Crystals could also be combinations of two or more of these forms; for example, a cuboctahedron has eight octahedral faces and another six belonging to a cube (as depicted on page 62).
Morin starts with a cuboctahedron, which looks like a cube with its corners lopped off.
Yaghi, "Porous metal-organic polyhedra: 25 [Angstrom] cuboctahedron constructed from 12 [Cu.sub.2][(C[O.sub.2]).sub.4] paddle-wheel building blocks," Journal of the American Chemical Society, vol.
A thumbnail-size pyrite cuboctahedron from Traversella, Piedmont, Italy has, dead in the middle of each octahedron face, a pit of what seems to be pyritohedral outline, all pits being of exactly the same size.