Quasitruncated hexahedron

The quasitruncated hexahedron, the quasitruncated cube, or quith, 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 truncated cube of edge length 1 has vertex coordinates given by all permutations and sign changes of
 * (±(1-$\sqrt{7-4√2}$)/2, ±(1-$\sqrt{2}$)/2, ±1/2).