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

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 $k+6$.

Cited by in corpus (1)

• Discrete quantitative Helly-type theorems with boxes