Bitruncated order-5 dodecahedral honeycomb
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| Bitruncated order-5 dodecahedral honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform, compact |
| Space | Hyperbolic |
| Notation | |
| Bowers style acronym | Bitped |
| Coxeter diagram | o5x3x5o (    ) |
| Elements | |
| Cells | N truncated icosahedra |
| Faces | 6N pentagons, 10N hexagons |
| Edges | 30N |
| Vertices | 15N |
| Vertex figure | Tetragonal disphenoid, edge lengths (1+√5)/2 (base) and √3 (sides)  |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Bitped |
| Regiment | Bitped |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | [[5,3,5]] |
| Convex | Yes |
The bitruncated order-5 dodecahedral honeycomb, also called the disdodecahedral honeycomb, is a compact noble uniform tiling of 3D hyperbolic space. 4 truncated icosahedra meet at each vertex. As the name suggests, it can be derived by bitruncation of the order-5 dodecahedral honeycomb.
Related polytopes[edit | edit source]
The hexagonal faces of the bitruncated order-5 dodecahedral honeycomb form {6,4∣5}, a regular skew apeirohedron.
External links[edit | edit source]
- Klitzing, Richard. "bitped".
- Wikipedia contributors. "Bitruncated order-5 dodecahedral honeycomb".
| truncations | ||||
|---|---|---|---|---|
| Name | OBSA | Schläfli symbol | CD diagram | Image |
| Order-5 dodecahedral honeycomb | pedhon | {5,3,5} | |  |
| Rectified order-5 dodecahedral honeycomb | ripped | r{5,3,5} | |  |
| Rectified order-5 dodecahedral honeycomb | ripped | r{5,3,5} | | |
| Order-5 dodecahedral honeycomb | pedhon | {5,3,5} | | |
| Truncated order-5 dodecahedral honeycomb | tipped | t{5,3,5} | |  |
| Small rhombated order-5 dodecahedral honeycomb | sripped | rr{5,3,5} | |  |
| Small prismated order-5 dodecahedral honeycomb | spidded | t0,3{5,3,5} | |  |
| Disdodecahedral honeycomb | diddoh | 2t{5,3,5} | | |
| Small rhombated order-5 dodecahedral honeycomb | sripped | rr{5,3,5} | | |
| Truncated order-5 dodecahedral honeycomb | tipped | t{5,3,5} | | |
| Great rhombated order-5 dodecahedral honeycomb | gripped | tr{5,3,5} | |  |
| Prismatorhombated order-5 dodecahedral honeycomb | pripped | t0,1,3{5,3,5} | |  |
| Prismatorhombated order-5 dodecahedral honeycomb | pripped | t0,2,3{5,3,5} | | |
| Great rhombated order-5 dodecahedral honeycomb | gripped | tr{5,3,5} | | |
| Great prismated order-5 dodecahedral honeycomb | gipidded | t0,1,2,3{5,3,5} | |  |