Small stellapentakis dodecahedron

The small stellapentakis dodecahedron is a uniform dual polyhedron. It consists of 60 isosceles triangles.

If its dual, the truncated great dodecahedron, has an edge length of 1, then the short edges of the triangles will measure $$5\frac{\sqrt5-1}{2} ≈ 3.09017$$, and the long edges will be $$\frac{5+3\sqrt5}{2} ≈ 5.85410$$. The triangles have two interior angles of $$\arccos\left(\frac12+\frac{\sqrt5}{5}\right) ≈ 18.69941°$$, and one of $$\arccos\left(\frac{1}{10}-\frac{2\sqrt5}{5}\right) ≈ 142.60119°$$.

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