Tritruncated pentacontatetrapeton

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Tritruncated pentacontatetrapeton
Rank6
TypeUniform
Notation
Bowers style acronymTitam
Coxeter diagramx3x3o3x3x *c3o ()
Elements
Peta54 prismatorhombidemipenteracts
72 celliprismatotruncatododecatera
432 truncated pentachoric prisms
Tera2160 tetrahedral prisms
2160 truncated tetrahedral prisms
720 hexagonal duoprisms
864 truncated pentachora
864 prismatorhombated pentachora
270 rectified tesseracts
Cells4320 tetrahedra
8640 triangular prisms
4320+4320 hexagonal prisms
4320 truncated tetrahedra
2160 cuboctahedra
Faces17280 triangles, 2160+6480+12960 squares, 8640 hexagons
Edges8640+25920
Vertices8640
Vertex figureIrregular triangular-prismatic scalene
Measures (edge length 1)
Circumradius
Hypervolume
Central density1
Number of external pieces558
Related polytopes
ArmyTitam
RegimentTitam
ConjugateNone
Abstract & topological properties
Flag count9331200
Euler characteristic0
OrientableYes
Properties
SymmetryE6×2, order 103680
ConvexYes
NatureTame

The tritruncated pentacontatetrapeton or titam, also called the tritruncated 122 polytope, is a convex uniform polypeton. It consists of 54 prismatorhombated demipenteracts, 72 celliprismatotruncatododecatera, and 432 truncated pentachoric prisms. 2 prismatorhombated demipenteracts, 3 celliprismatotruncatododecatera, and 2 truncated pentachoric prisms join at each vertex.

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