Prismatotruncated hexadecachoric tetracomb
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| Prismatotruncated hexadecachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Pataht |
| Coxeter diagram | o3x4o3x3x (    ) |
| Elements | |
| Tera | 32N triangular-hexagonal duoprisms, 12N cuboctahedral prisms, 3N prismatorhombated tesseracts, N small rhombated icositetrachora |
| Cells | 96N+96N triangular prisms, 72N cubes, 96N hexagonal prisms, 24N truncated tetrahedra, 24N cuboctahedra, 24N small rhombicuboctahedra |
| Faces | 96N+192N triangles, 144N+288N+288N squares, 96N hexagons |
| Edges | 144N+288N+576N |
| Vertices | 288N |
| Vertex figure | Wedge pyramid, edge lengths 1 (two base edges and top edge of wedge), √2 (sides and remaining base edges of wedge and lacings to base rectangle), and √3 (lacings to top edge) |
| Related polytopes | |
| Army | Pataht |
| Regiment | Pataht |
| Conjugate | Quasiprismatotruncated hexadecachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The prismatotruncated hexadecachoric tetracomb or pataht, also called the runcitruncated hexadecachoric tetracomb is a convex uniform tetracomb. 1 small rhombated icositetrachoron, 2 prismatorhombated tesseracts, 1 cuboctahedral prism, and 2 triangular-hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the hexadecachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "pataht".
- Wikipedia Contributors. "Runcitruncated 16-cell honeycomb".