Small ditrigonal dodecacronic hexecontahedron

In geometry, the small ditrigonal dodecacronic hexecontahedron (or fat star) is a nonconvex isohedral polyhedron. It is the dual of the uniform small ditrigonal dodecicosidodecahedron. It is visually identical to the small dodecicosacron. Its faces are darts. A part of each dart lies inside the solid, hence is invisible in solid models.

Proportions
Faces have two angles of $$\arccos(\frac{5}{12}+\frac{1}{4}\sqrt{5})\approx 12.661\,078\,804\,43^{\circ}$$, one of $$\arccos(-\frac{5}{12}-\frac{1}{60}\sqrt{5})\approx 116.996\,396\,851\,70^{\circ}$$ and one of $$360^{\circ}-\arccos(-\frac{1}{12}-\frac{19}{60}\sqrt{5})\approx 217.681\,445\,539\,45^{\circ}$$. Its dihedral angles equal $$\arccos({\frac{-44-3\sqrt{5}}{61}})\approx 146.230\,659\,755\,53^{\circ}$$. The ratio between the lengths of the long and short edges is $$\frac{31+5\sqrt{5}}{38}\approx 1.110\,008\,944\,41$$.