The Hadwiger Number of Jordan Regions is Unbounded

Computer Science – Computational Geometry

Scientific paper

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Scientific paper

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.

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