cuboctahedron

Noun

Meaning

cuboctahedron (plural cuboctahedrons or cuboctahedra)

(geometry) An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.

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Phrases with the word

Examples

Eight of these irregular octahedra can be attached to the triangular faces of a regular octahedron to obtain the cuboctahedron. Source: Internet

In this nomenclature, an octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda. Source: Internet

It is dual to the quasiregular cuboctahedron (an Archimedean solid ) and occurs in nature as a crystal form. Source: Internet

In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron. Source: Internet

The vertices of the octahedron lie at the midpoints of the edges of the tetrahedron, and in this sense it relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids. Source: Internet

The cuboctahedron also has tetrahedral symmetry with two colors of triangles. Source: Internet

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