# Polyhedra with simple dense geodesics

## TL;DR

This paper characterizes polyhedra, including non-convex ones, that possess simple dense geodesics, expanding understanding of geodesic behavior on complex polyhedral surfaces.

## Contribution

It identifies and describes polyhedra with simple dense geodesics, including non-convex cases, which was not previously well-understood.

## Key findings

- Polyhedra with simple dense geodesics are characterized.
- Non-convex polyhedra can also have simple dense geodesics.
- The study broadens the class of polyhedra known to support such geodesics.

## Abstract

We determine (non-necessarily convex) polyhedra having simple dense geodesics.