Quasitruncated cuboctahedron

The quasitruncated cuboctahedron or quitco, also called the great truncated cuboctahedron, is a uniform polyhedron. It consists of 12 squares, 8 hexagons, and 6 octagrams, with one of each type of face meeting per vertex. It can be obtained by quasicantitruncation of the cube or octahedron, or equivalently by quasitruncating the vertices of a cuboctahedron and then adjusting the edge lengths to be all equal.

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