Second noble unihexagrammic hexecontahedron

The  is a noble polyhedron. Its 60 congruent faces are unicursal hexagrams meeting at congruent order-6 vertices. It is a faceting of a semi-uniform small rhombicosidodecahedron hull.

The ratio between the shortest and longest edges is 1:$$\sqrt{\frac{3\left(5+\sqrt5\right)}{10}}$$ ≈ 1:1.47337.

Vertex coordinates
The coordinates of a are all even permutations of:
 * $$\left(\pm\left(3\sqrt5-5\right),\,\pm2,\,0\right)$$,
 * $$\left(\pm\left(3-\sqrt5\right),\,\pm2,\,\pm2\left(3-\sqrt5\right)\right)$$,
 * $$\left(\pm\left(2\sqrt5-2\right),\,\pm\left(3-\sqrt5\right),\,\pm\left(2\sqrt5-4\right)\right)$$.