Notched diacosioctacontoctachoron

Notched diacosioctacontoctachoron
Rank	4
Type	Uniform dual
Space	Spherical
Notation
Coxeter diagram	m3o4m3o
Elements
Cells	288 notches
Faces	288 isosceles triangles, 576 scalene triangles
Edges	96+144+192+288
Vertices	24+24+96
Vertex figure	96 triangular bipyramids, 24 rhombic dodecahedra, 24 deltoidal icositetrahedra
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Small rhombated icositetrachoron
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	Yes
Nature	Tame

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 $\sqrt2 ≈ 1.41421$ and the rectified icositetrachoron has edge length $\frac{10+2\sqrt2}{23} ≈ 0.55776$.