Triakis octahedral tegum

Triakis octahedral tegum
Rank	4
Type	Uniform dual
Space	Spherical
Notation
Coxeter diagram	m2m4m3o
Elements
Cells	48 sphenoids
Faces	24+24 isosceles triangles, 48 scalene triangles
Edges	12+12+16+24
Vertices	2+6+8
Vertex figure	2 triakis octahedra, 6 octagonal tegums, 8 triangular tegums
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Truncated cubic prism
Conjugate	Great triakis octahedral tegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	B3×A1, order 96
Convex	Yes
Nature	Tame

The triakis octahedral tegum, also called the triakis octahedral bipyramid, is a convex isochoric polychoron with 48 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the triakis octahedron.

In the variant obtained as the dual of the uniform truncated cubic prism, if the triakis octahedron's short edges have length 1, its height is $3+2\sqrt2 ≈ 5.82843$.