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This is a characteristic property of aperiodic order, for a non repulsive tiling has arbitrarily large local periodic patterns.\n  We consider an aperiodic, repetitive tiling $T$ of $\\mathbb{R}^d$, with finite local complexity. From a spectral triple built on the discrete hull $\\Xi$ of $T$, and its Connes distance, we derive two metrics $d_{sup}$ and $d_{inf}$ on $\\Xi$. We show that $T$ is repulsive if and only if $d_{sup}$ and $d_{inf}$ are Lipschitz equivalent. 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