Great icosacronic hexecontahedron

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

If its dual, the great icosicosidodecahedron, has an edge length of 1, then the short edges of the darts will measure $$\frac{\sqrt{30\left(85+\sqrt5\right)}}{38} ≈ 1.34625$$, and the long edges will be $$\frac{\sqrt{30\left(65+19\sqrt5\right)}}{22} ≈ 2.58115$$. ​The dart faces will have length $$3\frac{\sqrt{10\left(3517+585\sqrt5\right)}}{418} ≈ 1.57652$$, and width $$\sqrt5 ≈ 2.23607$$. The darts have two interior angles of $$\arccos\left(\frac34+\frac{\sqrt5}{20}\right) ≈ 30.48032°$$, one of $$\arccos\left(-\frac{1}{12}+\frac{19\sqrt5}{60}\right) ≈ 51.33580°$$, and one of $$360°-\arccos\left(-\frac{5}{12}+\frac{\sqrt5}{60}\right) ≈ 247.70355°$$.

Vertex coordinates
A great icosacronic hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:
 * $$\left(±\frac{5-\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,0\right),$$
 * $$\left(±3\frac{15+\sqrt5}{44},\,±3\frac{7\sqrt5-5}{44},\,0\right),$$
 * $$\left(±\frac{\sqrt5}{2},\,±\frac{\sqrt5}{2},\,±\frac{\sqrt5}{2}\right),$$
 * $$\left(±3\frac{11\sqrt5-15}{76},\,±3\frac{5+9\sqrt5}{76},\,0\right),$$
 * $$\left(±3\frac{10-\sqrt5}{38},\,±3\frac{10-\sqrt5}{38},\,±3\frac{10-\sqrt5}{38}\right).$$