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A generating routine for an icosahedral quasicrystal, using local rules, is described. The triacontahedral morphology of a larger polyhedral model, the corresponding projections of the atomic positions and their Fourier transforms are illustrated. The existence of an icosahedral surface dividing the structure into two disjoint and interpenetrating parts, is reported.

A routine for generating the structure of an icosahedral quasicrystal