Truncated order-5 cubic honeycomb
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Truncated order-5 cubic honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Tipech |
Coxeter diagram | o5o3x4x () |
Elements | |
Cells | 2N icosahedra, 5N truncated cubes |
Faces | 40N triangles, 15N octagons |
Edges | 12N+60N |
Vertices | 24N |
Vertex figure | Pentagonal pyramid, edge lengths 1 (base) and √2+√2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Tipech |
Regiment | Tipech |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The truncated order-5 cubic honeycomb is a compact uniform tiling of 3D hyperbolic space. 1 icosahedron and 5 truncated cubes meet at each vertex. As the name suggests, it can be derived by truncation of the order-5 cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "tipech".
- Wikipedia contributors. "Truncated order-5 cubic honeycomb".
- lllllllllwith10ls. "Category 2: Truncates" (#32).