Prismatorhombated order-5 cubic honeycomb
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Prismatorhombated order-5 cubic honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Pripech |
Coxeter diagram | x5x3o4x () |
Elements | |
Cells | 15N cubes, 12N decagonal prisms, 5N small rhombicuboctahedra, 2N truncated dodecahedra |
Faces | 40N triangles, 30N+60N+60N squares, 24N decagons |
Edges | 60N+120N+120N |
Vertices | 120N |
Vertex figure | Isosceles trapezoidal pyramid, base edge lengths 1, √2, √2, √2, side edge lengths √2, √2, √(5+√5)/2, √(5+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Pripech |
Regiment | Pripech |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The prismatorhombated order-5 cubic honeycomb, also called the prismatotruncated dodecahedral honeycomb, runcitruncated dodecahedral honeycomb, or runcicantellated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 1 cube, 2 decagonal prisms, 1 truncated dodecahedron, and 1 small rhombicuboctahedron meet at each vertex. As the name suggests, it can be derived by runcicantellation of the order-5 cubic honeycomb or equivalently by runcitruncation of the dodecahedral honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "pripech".
- Wikipedia contributors. "Runcitruncated order-4 dodecahedral honeycomb".