Noble octagrammic icositetrahedron

The noble octagrammic icositetrahedron is a noble polyhedron. Its 24 congruent faces are mirror-symmetric octagrams meeting at congruent order-4 vertices. It is a faceting of a semi-uniform great rhombicuboctahedral convex hull.

The ratio between the longest and shortest edges is 1:a ≈ 1:1.19166, where a is the positive real root of 27a6-47a4+13a2-1.