The stellated truncated hexahedron (Maeder 1997), also called the quasitruncated hexahedron (Wenninger 1989, p. 144), is the uniform
polyhedron with Maeder index 19 (Maeder 1997), Wenninger index 92 (Wenninger
1989), Coxeter index 66 (Coxeter et al. 1954), and Har'El index 24 (Har'El
1993). Its faces are 
. It has Schläfli
symbol 
and Wythoff symbol 
,
The stellated truncated hexahedro is implemented in the Wolfram Language as UniformPolyhedron[92],
UniformPolyhedron["StellatedTruncatedHexahedron"],
UniformPolyhedron[
"Kaleido",
24
],
UniformPolyhedron[
"Uniform",
19
],
or UniformPolyhedron[
"Wenninger",
92
].
It is also implemented in the Wolfram
Language as PolyhedronData["StellatedTruncatedHexahedron"].
The skeleton of the stellated truncated hexahedron is the truncated cubical graph, illustrated above in a number of embeddings.
Its dual polyhedron is the great triakis octahedron.
For unit edge lengths, its circumradius is
 |
The convex hull of the stellated truncated hexahedron is the Archimedean small rhombicuboctahedron 
,
whose dual is the deltoidal icositetrahedron,
so the dual of the stellated truncated hexahedron (i.e., the great
triakis octahedron) is one of the stellations of the deltoidal
icositetrahedron (Wenninger 1989, p. 57).
