Rhombitrapezohedral dodecahedral honeycomb
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| Rhombitrapezohedral dodecahedral honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform dual |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | pØo2p6o3o (      ) |
| Elements | |
| Cells | N rhombitrapezohedral dodecahedra |
| Faces | 3N isosceles trapezoids, 3N rhombi |
| Edges | N+N+6N |
| Vertices | N+2N |
| Vertex figure | 2N triangular pyramids, N triangular antitegums |
| Related polytopes | |
| Dual | Gyrated tetrahedral-octahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2 |
| Convex | Yes |
| Nature | Tame |
The rhombitrapezohedral dodecahedral honeycomb is an isochoric honeycomb with rhombitrapezohedral dodecahedron cells. It can be obtained as the dual of the gyrated tetrahedral-octahedral honeycomb.
Each cell of this honeycomb has triangular prismatic symmetry, with 6 rhombi and 6 isosceles trapezoids for faces.