Truncated order-5 dodecahedral honeycomb
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Truncated order-5 dodecahedral honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Tipped |
Coxeter diagram | x5x3o5o () |
Elements | |
Cells | N icosahedra, N truncated dodecahedra |
Faces | 20N triangles, 6N decagons |
Edges | 6N+30N |
Vertices | 12N |
Vertex figure | Pentagonal pyramid, edge lengths 1 (bse) and √(5+√5)/2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Tipped |
Regiment | Tipped |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,5] |
Convex | Yes |
The truncated order-5 dodecahedral honeycomb is a compact uniform tiling of 3D hyperbolic space. 1 icosahedron and 5 truncated dodecahedra meet at each vertex. As the name suggests, it can be derived by truncation of the order-5 dodecahedral honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "tipped".
- Wikipedia contributors. "Truncated order-5 dodecahedral honeycomb".
- lllllllllwith10ls. "Category 2: Truncates" (#33).