Small dodecacronic hexecontahedron

The small dodecacronic hexecontahedron is a uniform dual polyhedron. It consists of 60 darts.

If its dual, the small dodecicosidodecahedron, has an edge length of 1, then the short edges of the darts will measure $$2\frac{\sqrt{65+19\sqrt5}}{11} ≈ 1.88500$$, and the long edges will be $$2\frac{\sqrt{2\left(5+2\sqrt5\right)}}{3} ≈ 2.90167$$. ​The dart faces will have length $$\frac{\sqrt{10\left(157+31\sqrt5\right)}}{33} ≈ 1.44160$$, and width $$\sqrt5+1 ≈ 3.23607$$. ​The darts have two interior angles of $$\arccos\left(\frac58+\frac{\sqrt5}{8}\right) ≈ 25.24283°$$, one of $$\arccos\left(-\frac18+\frac{9\sqrt5}{40}\right) ≈ 67.78301°$$, and one of $$360°-\arccos\left(-\frac14-\frac{\sqrt5}{10}\right) ≈ 241.73132°$$.

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