Great disprismatocubidodecahedral honeycomb
(Redirected from Great prismated cubic-dodecahedral honeycomb)
Great disprismatocubidodecahedral honeycomb | |
---|---|
File:H3 534-1111 center ultrawide.png | |
Rank | 4 |
Type | Uniform, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Gidpicdoh |
Coxeter diagram | x5x3x4x (File:CDel node 1.pngFile:CDel 5.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.png) |
Elements | |
Cells | 15N octagonal prisms, 12N decagonal prisms, 5N great rhombicuboctahedra, 2N great rhombicosidodecahedra |
Faces | 60N+60N+60N squares, 40N hexagons, 30N octagons, 24N decagons |
Edges | 120N+120N+120N+120N |
Vertices | 240N |
Vertex figure | Irregular tetrahedron, edge lengths √2 (3), √3 (1), √2+√2 (1), and √(5+√5)/2 (1) File:Omnitruncated order-4 dodecahedral honeycomb verf.png |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Gidpicdoh |
Regiment | Gidpicdoh |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,4] |
Convex | Yes |
The great disprismatocubidodecahedral honeycomb, also called the omnitruncated dodecahedral honeycomb or omnitruncated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 1 octagonal prism, 1 decagonal prism, 1 great rhombicuboctahedron, and 1 great rhombicosidodecahedron meet at each vertex. As the name suggests, it can be derived by omnitruncation of either the dodecahedral honeycomb or its dual order-5 cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "gidpicdoh".
- Wikipedia contributors. "Omnitruncated order-5 cubic honeycomb".