Biambotruncatotetrahedral diacositetracontachoron

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Biambotruncatotetrahedral diacositetracontachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymBatuted
Elements
Cells1440 phyllic disphenoids, 480 triangular gyroprisms, 240 chiral rectified truncated tetrahedra
Faces960 triangles, 2880+2880 scalene triangles, 960 ditrigons
Edges720+1440+1440+2880
Vertices1440
Vertex figure9-vertex polyhedron with 5 tetragons and 4 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyBatuted
RegimentBatuted
DualEnneahedral chiliatetracositetracontachoron
Abstract & topological properties
Flag count92160
Euler characteristic0
OrientableYes
Properties
SymmetryB3●H3, order 2880
ConvexYes
NatureTame

The biambotruncatotetrahedral diacositetracontachoron or batuted is a convex isogonal polychoron that consists of 240 chiral rectified truncated tetrahedra, 480 triangular antiprisms, and 1440 phyllic disphenoids. 3 rectified truncated tetrahedra, 2 triangular gyroprisms, and 4 phyllic disphenoids join at each vertex. However, it cannot be made scaliform.