The Hadwiger Number of Jordan Regions is Unbounded
<|reference_start|>The Hadwiger Number of Jordan Regions is Unbounded: We show that for every n > 0 there is a planar topological disk A_0 and n translates A_1, A_2, ..., A_n of A_0 such that the interiors of A_0, ... A_n are pairwise disjoint, but with each A_i touching A_0 for 1 <= i <= n.<|reference_end|>
@article{cheong2007the,
    title={The Hadwiger Number of Jordan Regions is Unbounded},
    author={Otfried Cheong, Mira Lee},
    journal={arXiv preprint arXiv:cs/0702079},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0702079},
    primaryClass={cs.CG math.MG}
}