Small cellated icositetrachoric tetracomb
Jump to navigation
Jump to search
| Small cellated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Scicot |
| Coxeter diagram | x3o4o3o3x (    ) |
| Elements | |
| Tera | 24N tetrahedral duoprisms, 32N triangular duoprisms, 12N octahedral prisms, 3N hexadecachora, N icositetrachora |
| Cells | 48N tetrahedra, 96N+96N triangular prisms, 24N octahedra |
| Faces | 96N+96N triangles, 144N squares |
| Edges | 72N+96N |
| Vertices | 24N |
| Vertex figure | Octahedron atop cube, edge lengths 1 (bases) and √2 (sides) |
| Related polytopes | |
| Army | Scicot |
| Regiment | Scicot |
| Conjugate | Quasicellated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The small cellated icositetrachoric tetracomb or stericated icositetrachoric tetracomb is a convex uniform tetracomb. 1 icositetrachoron, 1 hexadecachoron, 6 octahedral prisms, 8 tetrahedral prisms, and 12 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the sterication of the icositetrachoric tetracomb, or equivalently sterication of the dual hexadecachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "scicot".
- Wikipedia Contributors. "Stericated 24-cell honeycomb".