Small notched trischiliahexacosichoron

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Small notched trischiliahexacosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramo5m3o3m ()
Elements
Cells3600 notches
Faces3600 isosceles triangles, 7200 scalene triangles
Edges1200+1440+2400+3600
Vertices120+600+720
Vertex figure720 pentagonal bipyramids, 600 rhombic dodecahedra, 120 rhombic triacontahedra
Measures (edge length 1)
Central density1
Related polytopes
DualSmall rhombated hexacosichoron
Abstract & topological properties
Flag count129600
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The small notched trischiliahexacosichoron is a convex isochoric polychoron with 3600 notches as cells. It can be obtained as the dual of the small rhombated hexacosichoron.

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