Noble pentagrammic tetracontoctahedron

The noble tetragonal tetracontoctahedron is a noble polyhedron. Its 48 congruent faces are convex irregular pentagrams meeting at congruent order-5 vertices. It is a faceting of a semi-uniform great rhombicuboctahedral convex hull.

The ratio between the longest and shortest edges is 1:a ≈ 1:1.22064