Noble piscoidal icositetrahedron

The noble faceting of the small rhombicuboctahedron, or the noble piscoidal icositetrahedron, is a noble polyhedron. Its 24 congruent faces are mirror-symmetric pentagons meeting at congruent order-5 vertices.

The ratio between the longest and shortest edges is 1:$$\sqrt{2+\sqrt2}$$ ≈ 1:1.84776.