Quasitruncated hexahedron

The quasitruncated hexahedron, the quasitruncated cube, or quith, also called the stellated truncated hexahedron, is a uniform polyhedron. It consists of 8 triangles and 6 octagrams. Each vertex joins one triangle and two octagrams. As the name suggests, it can be obtained by quasitruncation of the cube.

Vertex coordinates
A quasitruncated hexahedron of edge length 1 has vertex coordinates given by all permutations and sign changes of
 * $$\left(±\frac{\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12\right).$$

Related polyhedra
The quasitruncated rhombihedron is a uniform polyhedron compound composed of 5 quasitruncated hexahedra.