Publication Date:
2016-06-11
Description:
Let $T$ be a tile in $\mathbb {Z}^n$ , meaning a finite subset of $\mathbb {Z}^n$ . It may or may not tile $\mathbb {Z}^n$ , in the sense of $\mathbb {Z}^n$ having a partition into copies of $T$ . However, we prove that $T$ does tile $\mathbb {Z}^d$ for some $d$ . This resolves a conjecture of Chalcraft.
Print ISSN:
0024-6115
Electronic ISSN:
1460-244X
Topics:
Mathematics
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