Blend of 2 small rhombicosidodecahedra

The  is an orbiform polyhedron. It consists of 40 triangles (16 of which form 8 hexagrams), 48 squares, and 24 pentagons. As the name suggests, it can be constructed by blending two small rhombicosidodecahedra together by six square faces.

It is hollow, and appears as a cell in the small disnub hexacosi-fusihexacosichoron and the small disdishexacosi-fusihexacosichoron.

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