Small disprismatocubidodecahedral honeycomb
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Small disprismatocubidodecahedral honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Sidpicdoh |
Coxeter diagram | x5o3o4x () |
Elements | |
Cells | 5N+15N cubes, 12N pentagonal prisms, 2N dodecahedra |
Faces | 30N+60N squares, 24N pentagons |
Edges | 60N+60N |
Vertices | 40N |
Vertex figure | Triangular antipodium, edge lengths (1+√5)/2 (large base) and √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Sidpicdoh |
Regiment | Sidpicdoh |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The small disprismatocubidodecahedral honeycomb, also called the runcinated dodecahedral honeycomb or runcinated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 1 cube, 3 further cubes as square prisms, 3 pentagonal prisms, and 1 dodecahedron meet at each vertex. As the name suggests, it can be derived by runcination of either the dodecahedral honeycomb or its dual order-5 cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "sidpicdoh".
- Wikipedia contributors. "Runcinated order-5 cubic honeycomb".