Prismatorhombated icositetrachoric tetracomb
Jump to navigation
Jump to search
| Prismatorhombated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Pricot |
| Coxeter diagram | x3o4x3x3o (    ) |
| Elements | |
| Tera | 24N truncated tetrahedral prisms, 32N triangular duoprisms, 3N tesseractihexadecachora, N prismatorhombated icositetrachora |
| Cells | 96N+96N triangular prisms, 96N hexagonal prisms, 48N truncated tetrahedra, 24N truncated octahedra, 12N small rhombicuboctahedra |
| Faces | 96N+96N triangles, 72N+144N+288N squares, 192N hexagons |
| Edges | 288N+288N+288N |
| Vertices | 288N |
| Vertex figure | Isosceles trapezoidal scalene, base edge lengths 1, √2, √2, √2, opposite edge length 1, lacing lengths √2 and √3 |
| Related polytopes | |
| Army | Pricot |
| Regiment | Pricot |
| Conjugate | Quasiprismatorhombated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
| Nature | Tame |
The prismatorhombated icositetrachoric tetracomb or pricot, also called the runcicantellated icositetrachoric tetracomb is a convex uniform tetracomb. 2 prismatorhombated icositetrachora, 1 tesseractihexadecachoron, 2 truncated tetrahedral prisms, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the icositetrachoric tetracomb.
External links[edit | edit source]
- Klitzing, Richard. "pricot".
- Wikipedia contributors. "Runcicantellated 24-cell honeycomb".
