Great deltoidal hexecontahedron

The great deltoidal hexecontahedron is a uniform dual polyhedron. It consists of 60 darts.

If its dual, the quasirhombicosidodecahedron, has an edge length of 1, then the short edges of the kites will measure $$\frac{\sqrt{5\left(5+\sqrt5\right)}}{3} ≈ 2.00500$$, and the long edges will be $$\frac{\sqrt{5\left(85+31\sqrt5\right)}}{11} ≈ 2.52523$$. ​The kite faces will have length $$\frac{\sqrt{10\left(157-31\sqrt5\right)}}{33} ≈ 0.89731$$, and width $$\frac{5+\sqrt5}{2} ≈ 3.61803$$. The kites have two interior angles of $$\arccos\left(\frac12+\frac{\sqrt5}{5}\right) ≈ 18.69941°$$, one of $$\arccos\left(-\frac14+\frac{\sqrt5}{10}\right) ≈ 91.51239°$$, and one of $$360°-\arccos\left(-\frac18-\frac{9\sqrt5}{40}\right) ≈ 231.08879°$$.

Vertex coordinates
A great deltoidal hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:
 * $$\left(±\sqrt5,\,0,\,0\right),$$
 * $$\left(±\frac{25-9\sqrt5}{22},\,±\frac{15-\sqrt5}{22},\,0\right),$$
 * $$\left(±\frac{5-\sqrt5}{6},\,±\frac{3\sqrt5-5}{6},\,0\right),$$
 * $$\left(±\frac{\sqrt5}{2},\,±\frac{5+\sqrt5}{4},\,±\frac{5-\sqrt5}{4}\right),$$
 * $$\left(±\frac{4\sqrt5-5}{11},\,±\frac{4\sqrt5-5}{11},\,±\frac{4\sqrt5-5}{11}\right).$$