Hemirhombichiricosahedron

The hemirhombichiricosahedron, hirki, or compound of five tetrahemihexahedra is a uniform polyhedron compound. It consists of 20 triangles and 15 central squares, with two of each joining at a vertex.

It is in the same regiment of the small icosicosahedron, and can be formed by replacing each octahedron in that compound with a tetrahemihexahedron.