Bitruncated 2 21 polytope
(Redirected from Bitruncated icosiheptaheptacontadipeton)
Bitruncated 2 21 polytope | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Botajik |
Coxeter diagram | o3x3x3o3o *c3o () |
Elements | |
Peta | 72 bitruncated hexatera 27 truncated demipenteracts 27 bitruncated triacontaditera |
Tera | 216 rectified pentachora 432 truncated pentachora 216+432 decachora 270 truncated hexadecachora |
Cells | 1080 tetrahedra 1080 octahedra 1080+1080+2160 truncated tetrahedra |
Faces | 720+2160 triangles, 4320+4320 hexagons |
Edges | 2160+6480 |
Vertices | 2160 |
Vertex figure | Triangular-prismatic scalene, edge lengths 1 (base triangular prism and top edge), √3 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dipetal angles | Bittit–deca–bittix: |
Thin–tip–bittix: | |
Thin–thex–bittit: 120° | |
Bittit–deca–bittit: | |
Thin–rap–thin: | |
Central density | 1 |
Number of external pieces | 126 |
Level of complexity | 45 |
Related polytopes | |
Army | Botajik |
Regiment | Botajik |
Conjugate | None |
Abstract & topological properties | |
Flag count | 2332800 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | E6, order 51840 |
Convex | Yes |
Nature | Tame |
The bitruncated 2 21 polytope or botajik, also called the bitruncated 221 polytope, is a convex uniform polypeton. It consists of 27 bitruncated triacontaditera, 27 truncated demipenteracts, and 72 bitruncated hexatera. 3 bitruncated triacontaditera, 2 truncated demipenteracts, and 2 bitruncated hexatera join at each vertex. As the name suggests, it is the bitruncation of the icosiheptaheptacontadipeton.
Related polytopes[edit | edit source]
The regiment of the bitruncated 2 21 polytope contains two other uniform members.
External links[edit | edit source]
- Klitzing, Richard. "botajik".
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