Great rhombated icositetrachoric tetracomb
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| Great rhombated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Gricot |
| Coxeter diagram | x3x4x3o3o (    ) |
| Elements | |
| Tera | 24N tetrahedral prisms, 3N truncated tesseracts, N great rhombated icositetrachora |
| Cells | 48N tetrahedra, 96N triangular prisms, 24N truncated cubes, 12N great rhombicuboctahedra |
| Faces | 192N triangles, 144N squares, 32N hexagons, 72N octagons |
| Edges | 96N+96N+288N |
| Vertices | 192N |
| Vertex figure | Triangular pyramidal pyramid, edge lengths 1 (base), √2 (sides of pyramid 1), √2+√2 (sides of pyramid 2), and √3 (lacing between apices) |
| Related polytopes | |
| Army | Gricot |
| Regiment | Gricot |
| Conjugate | Great quasirhombated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The great rhombated icositetrachoric tetracomb or gricot, also called the cantitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 3 great rhombated icositetrachora, 1 truncated tesseract, and 1 tetrahedral prism join at each vertex of this tessellation. As the name suggests, it is the cantitruncation of the icositetrachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "gricot".
- Wikipedia Contributors. "Cantitruncated 24-cell honeycomb".