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Eight icosahedra are attached face-to-face along the edges of a rhombus, with its diagonals in the ratio . The faces remain connected under truncation, so the truncated icosahedron (buckyball) and the icosidodecahedron are also face-to-face. Notice that the members of the assembly have three different orientations.
Contributed by: Sándor Kabai (September 2007)
Open content licensed under CC BY-NC-SA
Wolfram Demonstrations Project
Published: September 28 2007