# Topological surfaces as gridded surfaces in geometrical spaces

## TL;DR

This paper investigates topological surfaces modeled as gridded surfaces within cubic honeycomb structures in Euclidean and hyperbolic geometries, providing insights into their geometric and topological properties.

## Contribution

It introduces a framework for representing topological surfaces as gridded surfaces in cubic honeycombs across different geometries, expanding understanding of their structure.

## Key findings

- Characterization of gridded surfaces in Euclidean and hyperbolic spaces
- Development of methods to analyze topological surfaces within cubic scaffolds
- Insights into the geometric properties of surfaces in non-Euclidean geometries

## Abstract

In this paper we study topological surfaces as gridded surfaces in the 2-dimensional scaffolding of cubic honeycombs in Euclidean and hyperbolic spaces.