Cubes and octahedra
The vertex figures of a tessellation of the space in cubes are regular octahedra; that is, the midpoints of the edges that meet around a fixed vertex of the tessellation are the vertices of a regular octahedron.
© matematita
The image belongs to the sections...:
From "towards the 4th dimension" (From "XlaTangente")
Duality (3D geometry)