The golden ratio allows us to construct the orthogonal projection of the regular icosahedron.
The remaining construction is solely achieved through spheres and straight lines.
Inspiration: Vera W. de Spinadel (1998). From the Golden Mean to Chaos, Nueva LibrerÃa.Buenos Aires (ed. 2010, p. 62)
Although the construction is shown halfway, it can be traced back (or animated) with the navigation bar. It is advisable to rotate the graphic view, for a better comprehension of the construction.