Celligreatorhombated icositetrachoric tetracomb
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| Celligreatorhombated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Cagricot |
| Coxeter diagram | x3x4x3o3x (    ) |
| Elements | |
| Tera | 32N triangular-hexagonal duoprisms, 24N cuboctahedral prisms, 12N great rhombicuboctahedral prisms, 3N prismatorhombated hexadecachora, N great rhombated icositetrachora |
| Cells | 96N+96N+96N triangular prisms, 144N cubes, 96N hexagonal prisms, 48N cuboctahedra, 72N octagonal prisms, 24N truncated cubes, 24N great rhombicuboctahedra |
| Faces | 192N+192N triangles, 288N+288N+288N+288N squares, 96N hexagons, 144N octagons |
| Edges | 288N+288N+576N+576N |
| Vertices | 576N |
| Vertex figure | Skew rectangular pyramidal pyramid, base edge lengths 1 and √2, remaining edge lengths √2 (6), √3 (1), and √2+√2 (2) |
| Related polytopes | |
| Army | Cagricot |
| Regiment | Cagricot |
| Conjugate | Quasicelligreatorhombated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
| Nature | Tame |
The celligreatorhombated icositetrachoric tetracomb or cagricot, also called the stericantitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 1 great rhombated icositetrachoron, 1 prismatorhombated hexadecachoron, 1 cuboctahedral prism, 2 great rhombicuboctahedral prisms, and 1 triangular-hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the stericantitruncation of the icositetrachoric tetracomb.
External links[edit | edit source]
- Klitzing, Richard. "cagricot".
- Wikipedia contributors. "Stericantitruncated 24-cell honeycomb".
