Gyrated tetrahedral-octahedral honeycomb

The gyrated tetrahedral-octahedral honeycomb, also known as the gyrated alternated cubic honeycomb, is a convex uniform honeycomb. 6 octahedra and 8 tetrahedra join at each vertex of this honeycomb. It is also the alternated hexagonal prismatic honeycomb.

This honeycomb can be formed from the tetrahedral-octahedral honeycomb by gyrating alternate layers of cells, so that some tetrahedra join to other tetrahedra, and some octahedra connect to other octahedra. In the normal tetrahedral-octahedral honeycomb, triangles always join one tetrahedron and one octahedron. As a result, the tetrahedral-octahedral honeycomb's cuboctahedral vertex figure turns into a triangular orthobicupola, or gyrated cuboctahedron.