# Constructing and Counting Hexaflexagons

## TL;DR

This paper reviews the construction of hexaflexagons and calculates the number of unique configurations for a given number of faces, contributing to the understanding of foldable paper structures.

## Contribution

It provides a systematic method for constructing hexaflexagons and derives formulas to count their distinct forms based on the number of faces.

## Key findings

- Derived formulas for counting distinct hexaflexagons
- Presented a construction method for hexaflexagons
- Analyzed the combinatorial complexity of hexaflexagon configurations

## Abstract

Foldable paper constructions known as flexagons have been studied since 1939. In this paper we review the construction of hexagonal flexagons (hexaflexagons) and compute the number of distinct hexaflexagons with n faces.