English

A Woven Klein Quartic

Combinatorics 2024-03-06 v1

Abstract

We describe a new method of weaving a model of the Klein quartic, a highly symmetric, but abstract genus-3 surface akin to a platonic polyhedron, with negatively-curved geometry. The Klein quartic cannot be realized in its fully symmetric form in three-dimensional space, but this model exhibits the most rigid symmetry that is possible. With remarkably little time and material you can have a Klein quartic of your own!

Keywords

Cite

@article{arxiv.2403.02503,
  title  = {A Woven Klein Quartic},
  author = {Chaim Goodman-Strauss},
  journal= {arXiv preprint arXiv:2403.02503},
  year   = {2024}
}

Comments

4 pages, four figures

R2 v1 2026-06-28T15:09:06.182Z