Third kisombreroidal hexecontahedron

The  is a noble polyhedron. Its 60 congruent faces are irregular pentagons meeting at congruent order-5 vertices. It is a faceting of a uniform small rhombicosidodecahedron hull.

The ratio between the shortest and longest edges is 1:$$\sqrt{5+2\sqrt5}$$ ≈ 1:3.07768.

Vertex coordinates
Its vertices are the same as those of a small rhombicosidodecahedron.