Retrograde square cupola

The retrograde square cupola or rasquacu, also called crossed square cupola, consists of 4 triangles, 1+4 squares, and 1 octagram. It can be seen as a cupola based on a retrograde square.

It is the x4/3o-square-first cap of the quasirhombicuboctahedron.

Vertex coordinates
A square cupola of edge length 1 has vertices given by the following coordinates:


 * (±1/2, ±1/2, $\sqrt{2}$/2),
 * (±($\sqrt{2}$-1)/2, ±1/2, 0),
 * (±1/2, ±($\sqrt{2}$-1)/2, 0).

These can be obtained from placing a square and octagram in parallel planes.

Representations
A retrograde square cupola has the following Coxeter diagrams:


 * ox4/3xx&#x
 * so8/3ox&#x