Geodesic
On stabbing triangles by lines in 3-space
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 109-113 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give an example of a set $P$ of $3n$ points in $\Bbb R 3$ such that, for any partition of $P$ into triples, there exists a line stabbing $\Omega(\sqrt n)$ of the triangles determined by the triples.
We give an example of a set $P$ of $3n$ points in $\Bbb R 3$ such that, for any partition of $P$ into triples, there exists a line stabbing $\Omega(\sqrt n)$ of the triangles determined by the triples.
Classification : 52B55, 52C99, 68U05
Keywords: combinatorial geometry; computational geometry; crossing number 
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     title = {On stabbing triangles by lines in 3-space},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {109--113},
     year = {1995},
     volume = {36},
     number = {1},
     mrnumber = {1334418},
     zbl = {0831.52011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_1_a12/}
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Aronov, Boris; Matoušek, Jiří. On stabbing triangles by lines in 3-space. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 109-113. http://geodesic.mathdoc.fr/item/CMUC_1995_36_1_a12/