2 problems

Let $\Omega\subseteq\mathbb{R}^{n}$ be a periodic set and let $B\subseteq\mathbb{R}^{n}$ be a periodic half space. Periodic Gaussian surface-area conjecture. The Gaussian surface a…

Periodic tiling conjecture. If a region $\Omega\subset\mathbb{R}^n$ tiles $\mathbb{R}^n$ by translations, then it has a periodic tiling.