Great cellated icositetrachoric tetracomb
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| Great cellated icositetrachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Gacicot |
| Coxeter diagram | x3x4x3x3x (   ) |
| Elements | |
| Tera | 32N hexagonal duoprisms, 24N truncated octahedral prisms, 12N great rhombicuboctahedral prisms, 3N great disprismatotesseractihexadecachora, N great prismatotetracontoctachora |
| Cells | 144N cubes, 96N+96N+96N+96N+96N hexagonal prisms, 72N octagonal prisms, 48N truncated octahedra, 24N+24N great rhombicuboctahedra |
| Faces | 288N+288N+288N+288N+288N+288N squares, 192N+192N+192N hexagons, 144N octagons |
| Edges | 576N+576N+576N+576N+576N |
| Vertices | 1152N |
| Vertex figure | Irregular pentachoron, edge lengths √2 (6), √3 (3), and √2+√2 (1) |
| Related polytopes | |
| Army | Gacicot |
| Regiment | Gacicot |
| Conjugate | Great quasicellated icositetrachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The great cellated icositetrachoric tetracomb or gacicot, also called the omnitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 1 great prismatotetracontoctachoron, 1 great disprismatotesseractihexadecachoron, 1 great rhombicuboctahedral prism, 1 truncated octahedral prism, and 1 hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the omnitruncation of the icositetrachoric tetracomb or its dual hexadecachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "gacicot".