The Hadwiger Number of Jordan Regions is Unbounded
Computational Geometry
2010-08-26 v1 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.cs/0702079,
title = {The Hadwiger Number of Jordan Regions is Unbounded},
author = {Otfried Cheong and Mira Lee},
journal= {arXiv preprint arXiv:cs/0702079},
year = {2010}
}