Great prismated hexadecachoric tetracomb
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| Great prismated hexadecachoric tetracomb | |
|---|---|
| Rank | 5 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Gipaht |
| Coxeter diagram | o3x4x3x3x (    ) |
| Elements | |
| Tera | 32N triangular-hexagonal duoprisms, 12N truncated cubic prisms, 3N great disprismatotesseractihexadecachora, N great rhombated icositetrachora |
| Cells | 96N+96N triangular prisms, 96N hexagonal prisms, 72N octagonal prisms, 24N truncated cubes, 24N truncated octahedra, 24N great rhombicuboctahedra |
| Faces | 192N triangles, 144N+288N+288N squares, 96N+96N hexagons, 144N octagons |
| Edges | 288N+288N+288N+576N |
| Vertices | 576N |
| Vertex figure | Sphenoidal pyramid, edge lengths 1 (1), √2 (5), √3 (2), and √2+√2 (2) |
| Related polytopes | |
| Army | Gipaht |
| Regiment | Gipaht |
| Conjugate | Great quasiprismated hexadecachoric tetracomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | U5 |
| Convex | Yes |
The great prismated hexadecachoric tetracomb or gipaht, also called the runcicantitruncated hexadecachoric tetracomb is a convex uniform tetracomb. 1 great rhombated icositetrachoron, 2 great disprismatotesseractihexadecachora, 1 truncated cubic prism, and 1 triangular-hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantitruncation of the hexadecachoric tetracomb.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "gipaht".
- Wikipedia Contributors. "Runcicantitruncated 16-cell honeycomb".