On Helly number for crystals and cut-and-project sets
Metric Geometry
2024-02-14 v5 Combinatorics
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 copies of a single lattice the Helly number does not exceed .
Cite
@article{arxiv.1605.07881,
title = {On Helly number for crystals and cut-and-project sets},
author = {Alexey Garber},
journal= {arXiv preprint arXiv:1605.07881},
year = {2024}
}