# On the Infinite Loch Ness monster

## TL;DR

This paper provides a topological construction of the Infinite Loch Ness Monster surface, an orientable surface with one end and infinite genus, using flat and hyperbolic geometries, and discusses its historical context.

## Contribution

It introduces a new topological construction of the Infinite Loch Ness Monster surface using flat and hyperbolic geometries, expanding understanding of its structure.

## Key findings

- Constructed the surface using flat geometry
- Constructed the surface using hyperbolic geometry
- Discussed the historical evolution of the surface's concept

## Abstract

In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact, we introduce a flat and hyperbolic construction of this surface. We discuss how the name of this surface has evolved and how it has been historically understood.