First noble kisombreroidal icositetrahedron

The noble kisombreroidal icositetrahedron is a noble polyhedron. Its 24 congruent faces are irregular pentagons meeting at congruent order-5 vertices. It is a faceting of an isogonal non-uniform snub cubic hull.

The ratio between the longest and shortest edges is 1:$$1+\sqrt2$$ ≈ 1:2.41421.