Cubohemioctahedron atop truncated tetrahedron

Cubohemioctahedron atop truncated tetrahedron
Rank	4
Type	Segmentotope
Notation
Coxeter diagram	xx3xx3/2xo&#x
Elements
Cells	1 cubohemioctahedron 1 truncated tetrahedron 4 tetrahemihexahedra 4 hexagonal prisms 6 triangular prisms
Faces	4+4+4+12+12 triangles, 6+12 squares, 4 hexagons
Edges	6+12+12+12+24
Vertices	12+12
Vertex figures	12 skewed butterfly wedges
	12 skewed bowtie pyramids
Measures (edge length 1)
Circumradius	${\frac {\sqrt {35}}{5}}\approx 1.18322$
Height	${\frac {\sqrt {10}}{4}}\approx 0.79057$
Related polytopes
Army	Coatut
Regiment	Coatut
Conjugate	None
Abstract & topological properties
Orientable	No
Properties
Symmetry	A3×I, order 24
Convex	No
Nature	Tame

Cubohemioctahedron atop truncated tetrahedron is a segmentochoron. As the name suggests, it consists of a truncated tetrahedron and a cubohemioctahedron as bases, connected by 6 triangular prisms, 4 hexagonal prisms, and 4 tetrahemihexahedra.

It appears as a facet in the small rhombic dispentachoric alterprism.