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On rhombus tilings

T. Fernique

Abstract: Motivated by the theoretic comprehension of quasicrystals, we introduce rhombus tilings and survey results around the following questions:
– Which rhombus tilings are aperiodic?
– What are random rhombus tilings and how do they look at?
– What is the structure of tiling spaces?


© Steklov Math. Inst. of RAS, 2024