Tetrahedral myriatetrachiliatetracosichoron

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Tetrahedral myriatetrachillia-tetracosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm5m3m3m ()
Elements
Cells14400 irregular tetrahedra
Faces7200+7200+7200+7200 scalene triangles
Edges1440+2400+2400+3600+3600+3600
Vertices120+600+720+1200
Vertex figure1200 hexagonal bipyramids, 720 decagonal bipyramids, 600 tetrakis hexahedra, 120 disdyakis triacontahedra
Measures (edge length 1)
Dichoral angle
Central density1
Related polytopes
DualGreat disprismatohexacosi-hecatonicosachoron
Abstract & topological properties
Flag count345600
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The tetrahedral myriatetrachiliatetracosichoron is a convex isochoric polychoron with 14400 irregular tetrahedra as cells. It can be obtained as the dual of the great 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 .