Prismatotruncated icositetrachoric tetracomb
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| Prismatotruncated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Paticot |
| Coxeter diagram | x3x4o3x3o (    ) |
| Elements | |
| Tera | 24N octahedral prisms, 32N triangular-hexagonal duoprisms, 3N small rhombated tesseracts, N prismatorhombated icositetrachora |
| Cells | 96N+96N+96N triangular prisms, 48N octahedra, 96N hexagonal prisms, 12N truncated octahedra, 24N small rhombicuboctahedra |
| Faces | 192N+192N triangles, 72N+288N+288N squares, 96N hexagons |
| Edges | 144N+288N+576N |
| Vertices | 288N |
| Vertex figure | Wedge pyramid, edge lengths 1 (base edges of wedge), √2 (sides and top of wedge and lacings to base square), and √3 (lacings to top edge) |
| Related polytopes | |
| Army | Paticot |
| Regiment | Paticot |
| Conjugate | Quasiprismatotruncated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The prismatotruncated icositetrachoric tetracomb or paticot, also called the runcitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 2 prismatorhombated icositetrachora, 1 small rhombated tesseract, 1 octahedral prism, and 2 triangular-hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the icositetrachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "paticot".
- Wikipedia Contributors. "Runcitruncated 24-cell honeycomb".