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arXiv · 2112.10246

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

Dami Lee
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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 $\{3,7\}$-surface in $\mathbb{R}^3$ that is a cover of Klein's quartic.

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Dami Lee. 2021-12-19. An infinite $\{3,7\}$-surface. https://arxiv.org/abs/2112.10246

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