Model | .Stel | Long Name and Alternate Names | Components per vertex |
01-Chon | .Stel | Cubic honeycomb | 8 Cubes |
02-Rich | .Stel | Rectified cubic honeycomb | 4 cuboctahedra, 2 octahedra |
03-Tich | .Stel | Truncated cubic honeycomb | 4 truncated cubes, 1 octahedron |
04-Srich | .Stel | Cantellated cubic honeycomb (small rhombated) | 2 rhombicuboctahedra, 1 cuboctahedron, 2 cubes |
05-Batch | .Stel | Bitruncated cubic honeycomb; truncated octahedral honeycomb | 4 truncated octahedra |
06-Grich | .Stel | Cantitruncated cubic honeycomb (great rhombated) | 2 truncated cuboctahedra, 1 truncated octahedron, 1 cube |
07-Prich | .Stel | Runcitruncated cubic honeycomb (prismatorhombated) | 1 truncated cube, 1 rhombicuboctahedron, 2 octagonal prisms, 1 cube |
08-Otch | .Stel | Omnitruncated cubic honeycomb | 2 truncated cuboctahedra, 2 octahedral prisms |
09-Tassiph | .Stel | Truncated square prismatic honeycomb | 4 octagonal prisms, 2 cubes |
10-Sassiph | .Stel | Snub square prismatic honeycomb | 6 triangular prisms, 4 cubes |
11-Octet | .Stel | Octahedral-Tetrahedral honeycomb (oct-tet struss) | 8 tetrahedra, 6 octahedra (see 26-Gytoh) |
12-Ratoh | .Stel | Runcinated alternated cubic honeycomb; runcinated tetrahedral-octahedral honeycomb | 3 rhombicuboctahedra, 1 tetrahedron, 1 cube |
13-Tatoh | .Stel | Truncated alternated cubic honeycomb; truncated tetrahedral-octahedral honeycomb | 2 truncated octahedra, 2 truncated tetrahedra, 1 cuboctahedron |
14-Gratoh | .Stel | Cantitruncated alternated cubic honeycomb; cantitruncated tetrahedral-octahedral honeycomb | 2 truncated cuboctahedra, 1 truncated cube, 1 truncated tetrahedron |
15-Batatoh | .Stel | Bitruncated alternated cubic honeycomb; bitruncated tetrahedral-octahedral honeycomb | 6 truncated tetrahedra, 2 tetrahedra |
16-Hiph | .Stel | Hexagonal prismatic honeycomb | 6 hexagonal prisms |
17-Thiph | .Stel | Triangular-hexagonal prismatic honeycomb | 4 hexagonal prisms, 4 triangular prisms |
18-Tiph | .Stel | Triangular prismatic honeycomb | 12 triangular prisms |
19-Thaph | .Stel | Truncated hexagonal prismatic honeycomb | 4 dodecagonal prisms, 2 triangular prisms |
20-Rothaph | .Stel | Rhombitriangular-hexagonal prismatic honeycomb | 2 hexagonal prisms, 2 triangular prisms, 4 cubes |
21-Otathaph | .Stel | Omnitruncated triangular-hexagonal prismatic honeycomb | 2 dodecagonal prisms, 2 hexagonal prisms, 2 cubes |
22-Snathaph | .Stel | Snub triangular-hexagonal prismatic honeycomb | 2 hexagonal prisms, 8 triangular prisms |
23-Gytoph | .Stel | Gyrated triangular prismatic honeycomb | 12 triangular prisms |
24-Etoph=x | .Stel | Elongated triangular prismatic honeycomb | 6 triangular prisms, 4 cubes (see note below) |
25-Gyetaph=x | .Stel | Gyroelongated triangular prismatic honeycomb | 6 triangular prisms, 4 cubes (see note below) |
26-Gytoh | .Stel | Gyrated Tetrahedral-Octahedral honeycomb | 8 tetrahedra, 6 octahedra (see 11-Octet) |
27-Etoh=x | .Stel | Elongated cubic honeycomb; elongated tetrahedral-octahedral honeycomb | 3 octahedra, 4 tetrahedra, 6 triangular prisms (see note below) |
28-Gyetoh=x | .Stel | Gyroelongated cubic honeycomb; gyroelongated tetrahedral-octahedral honeycomb | 3 octahedra, 4 tetrahedra, 6 triangular prisms (see note below) |