Notched diacosioctacontoctachoron

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Notched diacosioctacontoctachoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm3o4m3o ()
Elements
Cells288 notches
Faces288 isosceles triangles, 576 scalene triangles
Edges96+144+192+288
Vertices24+24+96
Vertex figure96 triangular bipyramids, 24 rhombic dodecahedra, 24 deltoidal icositetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualSmall rhombated icositetrachoron
Abstract & topological properties
Flag count10368
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
ConvexYes
NatureTame

The notched diacosioctacontoctachoron is a convex isochoric polychoron with 288 notches as cells. It can be obtained as the dual of the small rhombated icositetrachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and a rectified icositetrachoron. If the smaller icositetrachoron has edge length 1, the larger icositetrachoron has edge length and the rectified icositetrachoron has edge length .