First noble kipiscoidal icositetrahedron

The noble faceting of the snub cube, or the first noble kipiscoidal icositetrahedron, is a self-dual noble polyhedron. Its 24 congruent faces are irregular pentagons meeting at congruent order-5 vertices.

The ratio between the longest and shortest edges is 1:a ≈ 1:1.68502, where a is the positive real root of a6-4a4+4a2-2.

This was the first noble polyhedron discovered in more than 100 years since Max Brückner studied such figures, by Robert Webb.