Sixth 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:$$2+\sqrt5$$ ≈ 1:4.23607.

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 quasitruncated dodecadodecahedron.
 * $$\left(\pm\frac12,\,\pm\frac12,\,\pm\frac32\right),$$
 * $$\left(\pm\frac12,\,\pm\frac{\sqrt5}{2},\,\pm\frac{\sqrt5}{2}\right),$$
 * $$\left(\pm\frac{3-\sqrt5}{4},\,\pm\frac{\sqrt5-1}{4},\,\pm\frac{1+\sqrt5}{2}\right),$$
 * $$\left(\pm\frac{3+\sqrt5}{4},\,\pm\frac{1+\sqrt5}{4},\,\pm\frac{\sqrt5-1}{2}\right),$$
 * $$\left(\pm\frac{3+\sqrt5}{4},\,\pm\frac{3-\sqrt5}{4},\,\pm1\right).$$