Triangular-antitegmatic dischiliatetracosichoron

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Triangular-antitegmatic dischiliatetracosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm5o3o3m ()
Elements
Cells2400 triangular antitegums
Faces3600+3600 kites
Edges1440+2400+3600
Vertices120+600+720+1200
Vertex figure1200 triangular bipyramids, 720 pentagonal bipyramids, 600 tetrahedra, 120 icosahedra
Measures (edge length 1)
Dichoral angle
Central density1
Related polytopes
DualSmall disprismatohexacosihecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The triangular-antitegmatic dischiliatetracosichoron is a convex isochoric polychoron with 2400 triangular antitegums as cells. It can be obtained as the dual of the small disprismatohexacosihecatonicosachoron.

It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, a rectified hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length , the rectified hexacosichoron has edge length , and the rectified hecatonicosachoron has edge length .