# Moduli Spaces of Pentagonal Subdivision Tilings

## TL;DR

This paper explores the classification of sphere tilings by congruent pentagons, focusing on three families of pentagonal subdivisions, each forming a two-dimensional moduli space, with detailed descriptions provided.

## Contribution

It introduces and characterizes three distinct families of pentagonal subdivision tilings on the sphere, detailing their moduli spaces.

## Key findings

- Three families of pentagonal tilings are identified.
- Each family has a two-dimensional moduli space.
- Detailed descriptions of the moduli are provided.

## Abstract

Pentagonal subdivision gives three families of edge-to-edge tilings of the sphere by congruent pentagons. Each family forms a two dimensional moduli. We describe the moduli in detail.

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Source: https://tomesphere.com/paper/1907.08776