Small rhombated order-5 cubic honeycomb
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Small rhombated order-5 cubic honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Sripech |
Coxeter diagram | o5x3o4x () |
Elements | |
Cells | 12N pentagonal prisms, 2N icosidodecahedra, 5N small rhombicuboctahedra |
Faces | 40N triangles, 14N+60N squares, 24N pentagons |
Edges | 60N+120N |
Vertices | 60N |
Vertex figure | Rectangular wedge, edge lengths 1 (two edges of base), (1+√5)/2 (remaining base edges), and √2 (top and side edges) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Sripech |
Regiment | Sripech |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The small rhombated order-5 cubic honeycomb, also called the cantellated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 2 pentagonal prisms, 1 icosidodecahedron, and 2 small rhombicuboctahedra meet at each vertex. As the name suggests, it can be derived by cantellation of the order-5 cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "sripech".
- Wikipedia contributors. "Cantellated order-5 cubic honeycomb".