Small dodecicosacron

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

It appears the same as the small ditrigonal dodecacronic hexecontahedron.

If its dual, the small dodecicosahedron, has an edge length of 1, then the short edges of the bowties will measure $$\frac{\sqrt{6\left(5+\sqrt5\right)}}{2} ≈ 3.29456$$, and the long edges will be $$\sqrt{3\left(5+2\sqrt5\right)} ≈ 5.33070$$. The bowties have two interior angles of $$\arccos\left(\frac{5}{12}+\frac{\sqrt5}{4}\right) ≈ 12.66108°$$, and two of $$\arccos\left(-\frac34+\frac{\sqrt5}{20}\right) ≈ 129.65748°$$. The intersection has an angle of $$\arccos\left(\frac{1}{12}+\frac{19\sqrt5}{60}\right) ≈ 37.68145°$$.

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