Great dodecicosacron

In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great dodecicosahedron (U63). It has 60 intersecting bow-tie-shaped faces.

Proportions
Each face has two angles of $$\arccos(\frac{3}{4}+\frac{1}{20}\sqrt{5})\approx 30.480\,324\,565\,36^{\circ}$$ and two angles of $$\arccos(-\frac{5}{12}+\frac{1}{4}\sqrt{5})\approx 81.816\,127\,508\,183^{\circ}$$. The diagonals of each antiparallelogram intersect at an angle of $$\arccos(\frac{5}{12}-\frac{1}{60}\sqrt{5})\approx 67.703\,547\,926\,46^{\circ}$$. The dihedral angle equals $$\arccos(\frac{-44+3\sqrt{5}}{61})\approx 127.686\,523\,427\,48^{\circ}$$. The ratio between the lengths of the long edges and the short ones equals $$\frac{1}{2}+\frac{1}{2}\sqrt{5}$$, which is the golden ratio. Part of each face lies inside the solid, hence is invisible in solid models.