On the geometry of rod packings in the 3-torus
Geometric Topology
2024-02-21 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2212.04662,
title = {On the geometry of rod packings in the 3-torus},
author = {Connie On Yu Hui and Jessica S. Purcell},
journal= {arXiv preprint arXiv:2212.04662},
year = {2024}
}
Comments
20 pages, 8 figures. V2: Minor wording changes, more info on the invariant cubic rod packings added to Section 3