论文信息 - Fractal Penrose tilings I. Construction and matching rules

Fractal Penrose tilings I. Construction and matching rules

SummaryQuasiperiodic tilings of kite-and-dart type, widely used as models for quasicrystals with decagonal symmetry, are constructed by means of somewhat artificial matching rules for the tiles. The proof of aperiodicity uses a self-similarity property, or inflation procedure, which requires drawing auxiliary lines. We introduce a modification of the kite-and-dart tilings which comes very naturally with both properties: the tiles are strictly self-similar, and their fractal boundaries provide perfect matching rules.

C. Bandt | P. Gummelt | C. Bandt | P. Gummelt

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