Periodicity of joint co-tiles in ${\mathbb{Z}}^d$

Tom Meyerovitch, Shrey Sanadhya, Yaar Solomon

An old theorem of Newman asserts that any tiling of $\mathbb{Z}$ by a finite set is periodic. A few years ago, Bhattacharya proved the periodic tiling conjecture in ${\mathbb{Z}}^2$.…