Tetrakis hexahedral tegum

Tetrakis hexahedral tegum
Rank	4
Type	Uniform dual
Space	Spherical
Notation
Coxeter diagram	m2o4m3m
Elements
Cells	48 sphenoids
Faces	24+24 isosceles triangles, 48 scalene triangles
Edges	12+12+16+24
Vertices	2+6+8
Vertex figure	2 tetrakis hexahedra, 8 hexagonal tegums, 6 octahedra
Measures (edge length 1)
Dichoral angle	$\arccos\left(-\frac9{11}\right) ≈ 144.90320°$
Central density	1
Related polytopes
Dual	Truncated octahedral prism
Conjugate	None
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	B3×A1, order 96
Convex	Yes
Nature	Tame

The tetrakis hexahedral tegum, also called the tetrakis hexahedral bipyramid, is a convex isochoric polychoron with 48 sphenoids as cells. As the name suggests, it is a tegum based on the tetrakis hexahedron.

In the variant obtained as the dual of the uniform truncated octahedral prism, if the tetrakis hexahedron's short edge has length 1, its height is $4\sqrt2 ≈ 5.65685$.