Gourt Home::Gourt :: Tetrahedral-octahedral honeycomb
| Schläfli symbol | - | |
| Type | Andreini tessellation | |
| Cell types | {3,3}" target="_blank" >*]," target="_blank" >triangle {3} | |
| Edge figure | *2 (rectangle) | |
| Vertex figure | {3,3}" target="_blank" >*] 6" target="_blank" >*2 | |
| Faces/edge | 4 {3} | |
| Cells/vertex | *]8+Symmetry group | Fm3m |
| Dual | rhombic dodecahedral honeycomb | |
| Properties | vertex-uniform, edge-uniform, face-uniform |
It is vertex-uniform with 8 tetrahedra and 6 octahedra around each vertex. It is edge-uniform with 2 tetrahedra and 2 octahedra alterating on each edge.
It can also be called an alternated cubic honeycomb because it can be constructed by starting with a cubic honeycomb and removing alternating adjacent vertices. This causes the cubic cells to degenerate into tetrahedral cells, and the voids created from the deleted vertices create octahedral cells.
There's a similar honeycomb called gyrated tetrahedral-octahedral honeycomb which has layers rotated 90 degrees so half the edges have neighboring rather than alternating tetrahedra and octahedra.
See also
"Tetrahedral-octahedral honeycomb"