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This polyhedron is obtained by successively cutting off each of the vertices of the octahedron or cube.

A cuboctahedron is a semi-regular convex polyhedron with two properties:

1. All faces are regular polygons of two types, a triangle and a square;

2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.

The cuboctahedron is one of the 13 solids of Archimedes.

Archimedean solids are semiregular polyhedra in the sense that their faces are regular non-similar polygons while the condition of one of the types of spatial symmetry (tetrahedral, octahedral or icosahedral) is preserved.

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