Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and topology can be used to study their complements. In this paper, we initiate the use of geometrisation to study such packings. We analyse the geometric structures of the complements of simple rod packings, and find families that are hyperbolic and Seifert fibred.

中文翻译：

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3-环面棒填料的几何形状

3 环中的棒堆积编码晶体学中某些晶体结构的信息。它们可以被视为 3 环面中的链接，并且来自 3 流形几何和拓扑的工具可用于研究它们的补集。在本文中，我们首次使用几何学来研究此类填料。我们分析了简单棒填料补体的几何结构，并找到了双曲线族和塞弗特纤维族。