Bounded distance equivalence of cut-and-project sets and equidecomposability

Sigrid Grepstad

We show that given a lattice $\hat{I}“\subset {\mathbb{R}}^m\times {\mathbb{R}}^n$, and projections $p_1$ and $p_2$ onto ${\mathbb{R}}^m$ and ${\mathbb{R}}^n$ respectively, cut-and-project sets…