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arXiv · 1605.07881

On Helly number for crystals and cut-and-project sets

Alexey Garber
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Abstract

We prove existence of Helly numbers for crystals and for cut-and-project sets with convex windows. Also we show that for a two-dimensional crystal consisting of $k$ copies of a single lattice the Helly number does not exceed $k+6$.

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Alexey Garber. 2024-02-13. On Helly number for crystals and cut-and-project sets. https://arxiv.org/abs/1605.07881

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