These rhombic triacontahedra (RTCs) are each colored with the symmetrical five-color scheme for that polyhedron. It causes each color to appear six times on each RTC, in positions such that, for a single RTC, a centered x, y, and z axis can penetrate the centers of all six same-color faces.

Since there are five colors, this virtual model may be removed in fifths. The first to go are the green rhombi. (Each of these may be enlarged with a click.)

The next to be removed are the yellow rhombi.

The red ones are next to go.

One more fifth vanishes, and only the blue faces are left.

Finally, they are removed as well, but with edges and vertices now shown for the first time, for, otherwise, you’d see nothing here.

Software credit:  all images here were created using Stella 4d: Polyhedron Navigator, my favorite polyhedron-manipulation tool. You may try it for yourself as a free trial version, or purchase the fully-functioning version, at http://www.software3d.com/Stella.php.