Truncated 2 21 polytope
(Redirected from Truncated icosiheptaheptacontadipeton)
Truncated 2 21 polytope | |
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Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Tojak |
Coxeter diagram | x3x3o3o3o *c3o () |
Elements | |
Peta | 27 demipenteracts, 72 truncated hexatera, 27 truncated triacontaditera |
Tera | 432 pentachora, 270 hexadecachora, 216+432 truncated pentachora |
Cells | 1080+2160 tetrahedra, 1080 truncated tetrahedra |
Faces | 4320 triangles, 720 hexagons |
Edges | 216+2160 |
Vertices | 432 |
Vertex figure | Rectified-pentachoric pyramid, edge lengths 1 (base), √3 (sides) |
Measures (edge length 1) | |
Circumradius | 2 |
Hypervolume | |
Dipetal angles | Tot–tip–tix: |
Hin–pen–tix: | |
Hin–hex–tot: 120° | |
Tot–tip–tot: | |
Central density | 1 |
Number of external pieces | 126 |
Level of complexity | 18 |
Related polytopes | |
Army | Tojak |
Regiment | Tojak |
Conjugate | None |
Abstract & topological properties | |
Flag count | 933120 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | E6, order 51840 |
Convex | Yes |
Nature | Tame |
The truncated 2 21 polytope or tojak, also called the truncated 221 polytope, is a convex uniform polypeton. It consists of 27 truncated triacontaditera, 27 demipenteracts, and 72 truncated hexatera. 5 truncated triacontaditera, 1 demipenteract, and 5 truncated hexatera join at each vertex. As the name suggests, it is the truncation of the icosiheptaheptacontadipeton.
Gallery[edit | edit source]
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B6 orthographic projection
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D5
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D4, A2
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A5
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A4
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A3, D3
Vertex coordinates[edit | edit source]
The vertices of a truncated 2 21 polytope of edge length , centered at the origin, are given by all permutations and even sign changes of the first 5 coordinates of:
- ,
- ,
- ,
- ,
- ,
- .
External links[edit | edit source]
- Klitzing, Richard. "tojak".
- Wikipedia contributors. "Truncated 2_21 polytope".
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