Generalised Flatness Constants: A Framework Applied in Dimension $2$

Giulia Codenotti, Thomas Hall, Johannes Hofscheier

Let $A\in \{\mathbb{Z},\mathbb{R}\}$ and $X\subset {\mathbb{R}}^d$ be a bounded set. Affine transformations given by an automorphism of ${\mathbb{Z}}^d$ and a translation in $A^d$…