Tritruncated pentacontatetrapeton
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Tritruncated pentacontatetrapeton | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Titam |
Coxeter diagram | x3x3o3x3x *c3o () |
Elements | |
Peta | 54 prismatorhombidemipenteracts 72 celliprismatotruncatododecatera 432 truncated pentachoric prisms |
Tera | 2160 tetrahedral prisms 2160 truncated tetrahedral prisms 720 hexagonal duoprisms 864 truncated pentachora 864 prismatorhombated pentachora 270 rectified tesseracts |
Cells | 4320 tetrahedra 8640 triangular prisms 4320+4320 hexagonal prisms 4320 truncated tetrahedra 2160 cuboctahedra |
Faces | 17280 triangles, 2160+6480+12960 squares, 8640 hexagons |
Edges | 8640+25920 |
Vertices | 8640 |
Vertex figure | Irregular triangular-prismatic scalene |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Central density | 1 |
Number of external pieces | 558 |
Related polytopes | |
Army | Titam |
Regiment | Titam |
Conjugate | None |
Abstract & topological properties | |
Flag count | 9331200 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | E6×2, order 103680 |
Convex | Yes |
Nature | Tame |
The tritruncated pentacontatetrapeton or titam, also called the tritruncated 122 polytope, is a convex uniform polypeton. It consists of 54 prismatorhombated demipenteracts, 72 celliprismatotruncatododecatera, and 432 truncated pentachoric prisms. 2 prismatorhombated demipenteracts, 3 celliprismatotruncatododecatera, and 2 truncated pentachoric prisms join at each vertex.
External links[edit | edit source]
- Klitzing, Richard. "titam".
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