---
title: The finite tiling problem is undecidable in the hyperbolic plane
url: https://www.emergentmind.com/papers/0703147
type: paper
arxiv_id: '0703147'
arxiv_url: https://arxiv.org/abs/0703147
published: '2007-03-29'
categories:
- cs.CG
- cs.DM
---

# The finite tiling problem is undecidable in the hyperbolic plane

## Abstract

In this paper, we consider the finite tiling problem which was proved undecidable in the Euclidean plane by Jarkko Kari in 1994. Here, we prove that the same problem for the hyperbolic plane is also undecidable.