Golden rhombus

The golden rhombus is a rhombus whose diagonals have the golden ratio. It appears as a face of several notable polyhedra.

Vertex coordinates
The coordinates of a golden rhombus centered at the origin with side lengths equal to 1:
 * $$\left(\pm\frac{1}{2}\sqrt{\frac{8}{5+\sqrt{5}}},0\right)$$,
 * $$\left(0,\pm\frac{1}{2}\sqrt{2+\frac{2}{\sqrt{5}}}\right)$$.

As a face
The golden rhombus appears as a face of several notable polyhedra.
 * Bilinski dodecahedron
 * Rhombic triacontahedron
 * Rhombic hexecontahedron