Truncated icositetrachoric tetracomb
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Truncated icositetrachoric tetracomb | |
---|---|
Rank | 5 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Ticot |
Coxeter diagram | x3x4o3o3o () |
Elements | |
Tera | 3N tesseracts, N truncated icositetrachora |
Cells | 24N cubes, 12N truncated octahedra |
Faces | 72N squares, 32N hexagons |
Edges | 24N+96N |
Vertices | 48N |
Vertex figure | Tetrahedral pyramid, edge lengths √2 (base) and √3 (sides) |
Related polytopes | |
Army | Ticot |
Regiment | Ticot |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | U5 |
Convex | Yes |
Nature | Tame |
The truncated icositetrachoric tetracomb, or ticot, is a convex uniform tetracomb. 4 truncated icositetrachora and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the truncation of the icositetrachoric tetracomb.
Vertex coordinates[edit | edit source]
The vertices of a truncated icositetrachoric 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 truncated icositetrachoric tetracomb has the following Coxeter diagrams:
- x3x4o3o3o () (full symmetry)
- o3o4x3x3x () (as great rhombated hexadecachoric tetracomb)
- o4x3x3x4o () (R5 symmetry, as great birhombated tesseractic tetracomb)
- x3x3o4o *b3x () (S5 symmetry)
- x3x3x *b3x *b3x () (Q5 symmetry)
External links[edit | edit source]
- Klitzing, Richard. "ticot".
- Wikipedia contributors. "Truncated 24-cell honeycomb".