Abstract
The author demonstrates show two tilings with face-centred icosahedral symmetry can be derived from one another by using only local information. The tiling under consideration are the zonohedral tiling proposed by Socolar and Steinhardt, which is closely related to the original three-dimensional rhombohedral tiling, and the tetrahedral tiling of Danzer. Both tilings have matching rules, and his proof is based on this property.
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