The Hadwiger Number of Jordan Regions Is Unbounded |
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Authors: | Otfried Cheong Mira Lee |
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Institution: | (1) Division of Computer Science, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea |
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Abstract: | 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. |
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