Compounding octahedron-hexahedron

Hexahedron and its pyramids
[size=200]For a hexahedron, students found two possibilties: [br]1. You mirror the midpoint of the hexahedron an all its faces, then you get a star with fourteen vertices.[br]2. You spin this pyramids by 45° at the perpendicular line on the faces. [color=#ff0000][b]mutual interpenetration[br][/b][/color][/size][size=200]By cutting off the pyramids, you get the body as a core of this star, which is called a [color=#0000ff]cuboctahedron, [/color][color=#333333]and that is an Archimedean solid, an its name is obviously based on its arising.[/color][/size]
From the star to the solid

Information: Compounding octahedron-hexahedron