Blend of 2 small rhombidodecahedra

The  is an orbiform polyhedron. It consists of 48 squares and 24 decagons. As the name suggests, it can be constructed by blending two small rhombidodecahedra together by six square faces.

It appears as a cell in the small fusihexacosichoron.

Vertex coordinates
A of edge length 1 has vertex coordinates given by all permutations of
 * $$\left(\pm\frac{2+\sqrt5}{2},\,\pm\frac12,\,\pm\frac12\right),$$
 * $$\left(0,\,\pm\frac{3+\sqrt5}{4},\,\pm\frac{5+\sqrt5}{4}\right),$$
 * $$\left(\pm\frac{1+\sqrt5}{4},\,\pm\frac{1+\sqrt5}{2},\,\pm\frac{3+\sqrt5}{4}\right).$$