Prismatorhombated hexadecachoric tetracomb
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Prismatorhombated hexadecachoric tetracomb | |
---|---|
Rank | 5 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Praht |
Coxeter diagram | o3x4x3o3x (![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elements | |
Tera | 32N triangular duoprisms, 12N truncated cubic prisms, 3N prismatorhombated hexadecachora, N tetracontoctachora |
Cells | 96N+96N triangular prisms, 72N octagonal prisms, 24N cuboctahedra, 24N+24N truncated cubes |
Faces | 96N+96N+96N triangles, 144N+288N+ squares, 144N octagons |
Edges | 288N+288N+288N |
Vertices | 288N |
Vertex figure | Skewed rectangular scalene, base edge lengths 1 and √2, opposite edge length 1, lacing lengths √2 and √2+√2 |
Related polytopes | |
Army | Praht |
Regiment | Praht |
Conjugate | Quasiprismatorhombated hexadecachoric tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | U5 |
Convex | Yes |
The prismatorhombated hexadecachoric tetracomb or praht, also called the runcicantellated hexadecachoric tetracomb is a convex uniform tetracomb. 1 tetracontoctachora, 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the hexadecachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "praht".
- Wikipedia Contributors. "Runcicantellated 16-cell honeycomb".