Snub pseudosnub rhombicosahedron

The snub pseudosnub rhombicosahedron, sapisseri, or compound of twenty tetrahemihexahedra is a biformic polyhedron compound. It consists of 20+60 triangles and 60 squares. The vertices coincide in pairs, and thus four triangles and four squares join at each vertex. If the vertices are considered as single compound vertices, this compound is isogonal. If they are considered as two separate vertices, it has two vertex orbits.

This compound can be formed by replacing each octahedron in the disnub icosahedron with the tetrahemihexahedron with which it shares its edges. Therefore, it also has the same edges as the great dirhombicosidodecahedron, although it is chiral, unlike either the great dirhombicosidodecahedron or disnub icosahedron.

It can be constructed as a blend of the great dirhombicosidodecahedron and the great snub dodecicosidodecahedron.

Vertex coordinates
Its vertices are the same as those of the disnub icosahedron.