The recipe for filling a large dodecahedron with small dodecas involves examing the three stellations of the dodecahedron. Here, the third stellation of the dodecahedron is filled with tiny dodecas. Note the vertices of this figure lie on the vertices of a large dodecahedron. This symmetry is closely related to that of the three-dimensional Penrose tiles, and generalizes to dimension 4 (but no higher).

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Note: The Geometry Center website is likely to close down within the next year. However, many Geometry Center images will still be available through CoArt.com.