Tritruncated 2 21 polytope

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Tritruncated 2 21 polytope
Rank6
TypeUniform
Notation
Bowers style acronymTitajak
Coxeter diagramo3x3x3o3o *c3x ()
Elements
Peta72 bitruncated hexatera, 27 bitruncated penteracts, 27 great rhombidemipenteracts
Tera216+432 truncated pentachora, 432 decachora, 216 great rhombated pentachora, 270 tesseractihexadecachora
Cells1080 tetrahedra, 720 triangular prisms, 1080+1080+2160 truncated tetrahedra, 1080 truncated octahedra
Faces1440+4320 triangles, 2160 squares, 2160+4320 hexagons
Edges2160+4320+6480
Vertices4320
Vertex figureTriangular 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 anglesBittin–tip–bittix:
 Girhin–deca–bittix:
 Girhin–tah–bittin: 120°
 Bittin–tip–bittin:
 Girhin–grip–girhin:
Central density1
Number of external pieces126
Level of complexity60
Related polytopes
ArmyTitajak
RegimentTitajak
ConjugateNone
Abstract & topological properties
Flag count3110400
Euler characteristic0
OrientableYes
Properties
SymmetryE6, order 51840
ConvexYes
NatureTame

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.

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