Each Sonobe unit functions as an edge in the underlying structure, so building a structure around an icosahedron, which has 20 faces and 30 edges, requires 30 units, and yields a stellated icosahedron with 60 faces and 90 edges.
You can also build a stellated octahedron from 12 pieces, and a stellated tetrahedron (which actually just appears as a cube) with 6 pieces, but that's just the beginning [4]!
[1]: Strictly speaking, it's not a true stellation, which is formed by extending the planes of faces until they intersect. [2]: https://en.wikipedia.org/wiki/Sonobe [3]: https://www.amherst.edu/media/view/290032/original/oragami.p... (instructions for folding; I believe the image uses the two-mountain folds variation on the first page) [4]: https://www.polypompholyx.com/2017/01/modularorigami/