Sébastien Labbé

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math.DS2025

Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip

SÃ©bastien LabbÃ©

We consider a new family $(T_{n})_{n \geq 1}$ of aperiodic sets of Wang tiles and we describe the dynamical properties of the set $I^c ◯_{n}$ of valid configurations $\mathbb{Z}^2…

math.DS2025

Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality

For every positive integer $n$ , we introduce a set $T_{n}$ made of $(n + 3)^{2}$ Wang tiles (unit squares with labeled edges). We represent a tiling by translates of these tile…