The periodic domino problem is undecidable in the hyperbolic plane
<|reference_start|>The periodic domino problem is undecidable in the hyperbolic plane: In this paper, we consider the periodic tiling problem which was proved undecidable in the Euclidean plane by Yu. Gurevich and I. Koriakov in 1972. Here, we prove that the same problem for the hyperbolic plane is also undecidable.<|reference_end|>
@article{margenstern2007the,
    title={The periodic domino problem is undecidable in the hyperbolic plane},
    author={Maurice Margenstern},
    journal={arXiv preprint arXiv:cs/0703153},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0703153},
    primaryClass={cs.CG cs.DM}
}