Medial disdyakis triacontahedron

In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It has 120 triangular faces.

Proportions
The triangles have one angle of $$\arccos(-\frac{1}{10})\approx 95.739\,170\,477\,27^{\circ}$$, one of $$\arccos(\frac{3}{8}+\frac{11}{40}\sqrt{5})\approx 8.142\,571\,179\,89^{\circ}$$ and one of $$\arccos(-\frac{3}{8}+\frac{11}{40}\sqrt{5})\approx 76.118\,258\,342\,85^{\circ}$$. The dihedral angle equals $$\arccos(-\frac{9}{11})\approx 144.903\,198\,772\,42^{\circ}$$. Part of each triangle lies within the solid, hence is invisible in solid models.