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On stabbing triangles by lines in 3-space

Boris Aronov; Jiří Matoušek — 1995

Commentationes Mathematicae Universitatis Carolinae

We give an example of a set $P$ of $3 n$ points in $ℝ 3$ such that, for any partition of $P$ into triples, there exists a line stabbing $Ω (\sqrt{n})$ of the triangles determined by the triples.

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