Cyclohexateric pentacomb
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| Cyclohexateric pentacomb | |
|---|---|
| Rank | 6 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Cyxh |
| Coxeter diagram | x3o3o3o3o3o3*a (      ) |
| Elements | |
| Peta | 2N hexatera, 2N rectified hexatera, N dodecatera |
| Tera | 12N pentachora, 12N rectified pentachora |
| Cells | 30N tetrahedra, 15N octahedra |
| Faces | 40N triangles |
| Edges | 15N |
| Vertices | N |
| Vertex figure | Small cellidodecateron, edge length 1 |
| Related polytopes | |
| Army | Cyxh |
| Regiment | Cyxh |
| Conjugate | None |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | P6×2 |
| Convex | Yes |
| Nature | Tame |
The cyclohexateric pentacomb or cyxh, also called the 5-simplex honeycomb is a convex uniform pentacomb. 12 hexatera, 30 rectified hexatera, and 20 dodecatera join at each vertex of this tessellation. It is the 5D simplicial honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "cyxh".
- Wikipedia contributors. "5-simplex honeycomb".