Tritruncated 2 21 polytope
(Redirected from Tritruncated icosiheptaheptacontadipeton)
Tritruncated 2 21 polytope | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Titajak |
Coxeter diagram | o3x3x3o3o *c3x () |
Elements | |
Peta | 72 bitruncated hexatera, 27 bitruncated penteracts, 27 great rhombidemipenteracts |
Tera | 216+432 truncated pentachora, 432 decachora, 216 great rhombated pentachora, 270 tesseractihexadecachora |
Cells | 1080 tetrahedra, 720 triangular prisms, 1080+1080+2160 truncated tetrahedra, 1080 truncated octahedra |
Faces | 1440+4320 triangles, 2160 squares, 2160+4320 hexagons |
Edges | 2160+4320+6480 |
Vertices | 4320 |
Vertex figure | Triangular pyramidal scalene, edge lengths 1 (base triangle and edge), √2 (lacings from edge to top vertex), and √3 (remaining edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dipetal angles | Bittin–tip–bittix: |
Girhin–deca–bittix: | |
Girhin–tah–bittin: 120° | |
Bittin–tip–bittin: | |
Girhin–grip–girhin: | |
Central density | 1 |
Number of external pieces | 126 |
Level of complexity | 60 |
Related polytopes | |
Army | Titajak |
Regiment | Titajak |
Conjugate | None |
Abstract & topological properties | |
Flag count | 3110400 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | E6, order 51840 |
Convex | Yes |
Nature | Tame |
The tritruncated 2 21 polytope or titajak, also called the tritruncated 221 polytope, is a convex uniform polypeton. It consists of 27 great rhombidemipenteracts, 27 bitruncated penteracts, and 72 bitruncated hexatera. 3 great rhombidemipenteracts, 2 bitruncated penteracts, and 1 bitruncated hexateron join at each vertex. As the name suggests, it is the tritruncation of the icosiheptaheptacontadipeton.
External links[edit | edit source]
- Klitzing, Richard. "titajak".
This article is a stub. You can help Polytope Wiki by expanding it. |