Small rhombidodecacron

The small rhombidodecacron is a uniform dual polyhedron. It consists of 60 bowties.

It appears the same as the small dodecacronic hexecontahedron.

If its dual, the small rhombidodecahedron, has an edge length of 1, then the short edges of the bowties will measure $$\sqrt{5-\sqrt5} ≈ 1.66251$$, and the long edges will be $$\sqrt{5+\sqrt5} ≈ 2.68999$$. The bowties have two interior angles of $$\arccos\left(\frac58+\frac{\sqrt5}{8}\right) ≈ 25.24283°$$, one of $$\arccos\left(-\frac12+\frac{\sqrt5}{5}\right) ≈ 93.02584°$$. The intersection has an angle of $$\arccos\left(\frac14+\frac{\sqrt5}{10}\right) ≈ 61.73132°$$.

Vertex coordinates
A small rhombidodecacron with dual edge length 1 has vertex coordinates given by all even permutations of:
 * $$\left(±\frac{3+\sqrt5}{2},\,±\frac{1+\sqrt5}{2},\,0\right),$$
 * $$\left(±\sqrt5,\,0,\,0\right),$$
 * $$\left(±\frac{5-\sqrt5}{4},\,±\frac{\sqrt5}{2},\,±\frac{5+\sqrt5}{4}\right).$$