Great ditrigonal dodecacronic hexecontahedron

The great ditrigonal dodecacronic hexecontahedron is a uniform dual polyhedron. It consists of 60 kites.

If its dual, the great ditrigonal dodecicosidodecahedron, has an edge length of 1, then the short edges of the kites will measure $$3\frac{\sqrt{3\left(145-62\sqrt5\right)}}{19} ≈ 0.68990$$, and the long edges will be $$3\frac{\sqrt{6\left(85-31\sqrt5\right)}}{22} ≈ 1.32274$$. ​The kite faces will have length $$3\frac{\sqrt{10\left(3517+585\sqrt5\right)}}{418} ≈ 1.57652$$, and width $$3\frac{3-\sqrt5}{2} ≈ 1.14590$$. The kites have two interior angles of $$\arccos\left(\frac{5}{12}-\frac{\sqrt5}{4}\right) ≈ 98.18387°$$, one of $$\arccos\left(-\frac{5}{12}+\frac{\sqrt5}{60}\right) ≈ 112.29645°$$, and one of $$\arccos\left(-\frac{1}{12}+\frac{19\sqrt5}{60}\right) ≈ 51.33580°$$.

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