This polyhedron is obtained by successively cutting off each of the vertices of the octahedron.
A truncated octahedron is a semiregular convex polyhedron with two properties:
1. All faces are regular polygons of two types, a hexagon, and a quadrilateral;
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.
Archimedean solids are semiregular polyhedra in the sense that their faces are regular non-similar polygons. Simultaneously, the condition of one of the types of spatial symmetry (tetrahedral, octahedral, or icosahedral) is preserved.