Prismatorhombated tesseractic tetracomb
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Prismatorhombated tesseractic tetracomb | |
---|---|
Rank | 5 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Prittit |
Coxeter diagram | x4o3x3x4o () |
Elements | |
Tera | 6N tesseracts, 4N truncated octahedral prisms, N tesseractihexadecachora, N prismatorhombated tesseracts |
Cells | 24N+24N cubes, 32N hexagonal prisms, 16N truncated tetrahedra, 4N cuboctahedra, 8N truncated octahedra |
Faces | 32N triangles, 24N+24N+48N+96N squares, 64N hexagons |
Edges | 96N+96N+96N |
Vertices | 96N |
Vertex figure | Isosceles trapezoidal scalene, base edge lengths 1, √2, √2, √2, opposite edge length √2, lacing lengths √2 and √3 |
Related polytopes | |
Army | Prittit |
Regiment | Prittit |
Conjugate | Quasiprismatorhombated tesseractic tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | R5 |
Convex | Yes |
Nature | Tame |
The prismatorhombated tesseractic tetracomb or prittit, also called the runcicantellated tesseractic tetracomb is a convex uniform tetracomb. 1 tesseractihexadecachoron, 2 prismatorhombated tesseracts, 1 truncated octahedral prism, and 1 tesseract (as a square duoprism) join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the tesseractic tetracomb.
Vertex coordinates[edit | edit source]
The vertices of a prismatorhombated tesseractic tetracomb of edge length 1 are given by all permutations of:
Where i, j, k, and l range over the integers.
Representations[edit | edit source]
A prismatorhombated tesseractic tetracomb has the following Coxeter diagrams:
- x4o3x3x4o (full symmetry)
- x3x3x *b3o4x (half symmetry)
External links[edit | edit source]
- Klitzing, Richard. "prittit".
- Wikipedia contributors. "Runcicantellated tesseractic honeycomb".