Of the famous fifty-nine icosahedra, seventeen stellations are fully supported. It is not a problem to model the edges of all of these using blue, green and half-green struts. However, it is not possible to push multiple green struts in the same hole of a connector. Therefore, for only eight of the fully supported stellations, Zometool models can be build.

A first model is designed so that is covers six of the stellations, each highlighted by a different colour. Starting from an icosahedron with edge length b1+b2+b1 (or b1+b3), it shows successively the triakis icosahedron (orange), the compound of five octahedra (yellow), the D stellation (red), the De2 stellation (teal), the compound of five tetrahedra (purple) and finally the excavated dodecahedron (green).

Fully supported Stellations of the Icosahedron
The remaining two zomeable stellations are shown in the second model. Starting from the D stellation (red), it shows the De1 stellation (teal) and finally the E stellation (green).
Fully supported Stellations of the Icosahedron