Great dodecicosacron

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

If its dual, the great dodecicosahedron, has an edge length of 1, then the short edges of the bowties will measure $$\sqrt{3\left(5-2\sqrt5\right)} ≈ 1.25841$$, and the long edges will be $$\frac{\sqrt{6\left(5-\sqrt5\right)}}{2} ≈ 2.03615$$. The bowties have two interior angles of $$\arccos\left(\frac34+\frac{\sqrt5}{20}\right) ≈ 30.48032°$$, and two of $$\arccos\left(-\frac{5}{12}+\frac{\sqrt5}{4}\right) ≈ 81.81613°$$. The intersection has an angle of $$\arccos\left(\frac{5}{12}-\frac{\sqrt5}{60}\right) ≈ 67.70375°$$.

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