The Hadwiger Number of Jordan Regions Is Unbounded
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We show that for every n > 0 there is a planar topological disk A0 and n translates A1, A2, ..., An of A0 such that the interiors of A0, ..., An are pairwise disjoint, but with each Ai touching A0 for 1 ≤ i ≤ n.
KeywordsConvex Body Pairwise Disjoint Discrete Comput Geom Vertical Segment Integer Sequence
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© Springer 2007