Bitruncated 2 21 polytope

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Bitruncated 2 21 polytope
Rank6
TypeUniform
Notation
Bowers style acronymBotajik
Coxeter diagramo3x3x3o3o *c3o ()
Elements
Peta72 bitruncated hexatera
27 truncated demipenteracts
27 bitruncated triacontaditera
Tera216 rectified pentachora
432 truncated pentachora
216+432 decachora
270 truncated hexadecachora
Cells1080 tetrahedra
1080 octahedra
1080+1080+2160 truncated tetrahedra
Faces720+2160 triangles, 4320+4320 hexagons
Edges2160+6480
Vertices2160
Vertex figureTriangular-prismatic scalene, edge lengths 1 (base triangular prism and top edge), 3 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dipetal anglesBittit–deca–bittix:
 Thin–tip–bittix:
 Thin–thex–bittit: 120°
 Bittit–deca–bittit:
 Thin–rap–thin:
Central density1
Number of external pieces126
Level of complexity45
Related polytopes
ArmyBotajik
RegimentBotajik
ConjugateNone
Abstract & topological properties
Flag count2332800
Euler characteristic0
OrientableYes
Properties
SymmetryE6, order 51840
ConvexYes
NatureTame

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]