# Notched enneacontahexachoron

Notched enneacontahexachoron
Rank4
TypeUniform dual
SpaceSpherical
Notation
Coxeter diagramm4o3m3o
Elements
Cells96 notches
Faces96 isosceles triangles, 192 scalene triangles
Edges24+64+64+96
Vertices8+16+32
Vertex figure32 triangular bipyramids, 16 cubes, 8 deltoidal icositetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualSmall rhombated tesseract
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryB4, order 384
ConvexYes
NatureTame

The notched enneacontahexachoron is a convex isochoric polychoron with 96 notches as cells. It can be obtained as the dual of the small rhombated tesseract.

It can also be constructed as the convex hull of a tesseract, a hexadecachoron, and a rectified tesseract. If the tesseract has edge length 1, the hexadecachoron has edge length 2 and the rectified tesseract has edge length ${\displaystyle 2\left(\sqrt2-1\right) ≈ 0.82843}$.