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On the transversal-conjecture of Katchalski and Lewis. (English) Zbl 0829.52002

Böröczky, K. (ed.) et al., Intuitive geometry. Proceedings of the 3rd international conference held in Szeged, Hungary, from 2 to 7 September, 1991. Amsterdam: North-Holland. Colloq. Math. Soc. János Bolyai. 63, 23-25 (1994).
An arrangement of \(n\) disjoint circular disks is constructed in the plane such that any 3 of them admit a common intersecting line, but no \(n - 1\) among them do so.
For the entire collection see [Zbl 0809.00022].

MSC:

52A10 Convex sets in \(2\) dimensions (including convex curves)
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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