Fifth noble stellation of rhombic triacontahedron

The  is a noble polyhedron. Its 30 congruent faces are rectangular-symmetric dodecagrams meeting at congruent order-3 vertices. It is a faceting of a semi-uniform great rhombicosidodecahedron hull.

The ratio between the shortest and longest edges is 1:$$\sqrt{\frac{25+10\sqrt5}{3}}$$ ≈ 1:3.97327.

Vertex coordinates
A, centered at the origin, has vertex coordinates given by all permutations of along with all even permutations of: These are the same coordinates as the great quasitruncated icosidodecahedron.
 * $$\left(\pm\frac12,\,\pm\frac12,\,\pm\frac{2\sqrt5-3}{2}\right),$$
 * $$\left(\pm\frac12,\,\pm\frac{\sqrt5-2}{2},\,\pm\frac{4-\sqrt5}{2}\right),$$
 * $$\left(\pm1,\,\pm\frac{3-\sqrt5}{4},\,\pm\frac{7-3\sqrt5}{4}\right),$$
 * $$\left(\pm\frac{3-\sqrt5}{4},\,\pm3\frac{\sqrt5-1}{4},\,\pm\frac{3-\sqrt5}{2}\right),$$
 * $$\left(\pm\frac{\sqrt5-1}{2},\,\pm\frac{3\sqrt5-5}{4},\,\pm\frac{5-\sqrt5}{4}\right).$$