Great rhombated order-5 cubic honeycomb
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Great rhombated order-5 cubic honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Gripech |
Coxeter diagram | o5x3x4x () |
Elements | |
Cells | 12N pentagonal prisms, 2N truncated icosahedra, 5N great rhombicuboctahedra |
Faces | 60N squares, 24N pentagons, 40N hexagons, 15N octagons |
Edges | 60N+60N+120N |
Vertices | 120N |
Vertex figure | Sphenoid edge lengths √2 (2), (1+√5)/2 (1), √3 (2), and √2+√2 (1) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Gripech |
Regiment | Gripech |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The great rhombated order-5 cubic honeycomb, also called the cantitruncated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 2 pentagonal prisms, 1 truncated icosahedron, and 2 great rhombicuboctahedra meet at each vertex. As the name suggests, it can be derived by cantitruncation of the order-5 cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "gripech".
- Wikipedia contributors. "Cantitruncated order-5 cubic honeycomb".