English

An infinite $\{3,7\}$-surface

Differential Geometry 2022-03-28 v2

Abstract

A classical question in geometry is whether surfaces with given geometric features can be realized as embedded surfaces in Euclidean space. In this paper, we construct an immersed, but not embedded, infinite {3,7}\{3,7\}-surface in R3\mathbb{R}^3 that is a cover of Klein's quartic.

Keywords

Cite

@article{arxiv.2112.10246,
  title  = {An infinite $\{3,7\}$-surface},
  author = {Dami Lee},
  journal= {arXiv preprint arXiv:2112.10246},
  year   = {2022}
}
R2 v1 2026-06-24T08:23:50.298Z