Bezdek, A. 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]. Reviewer: F.Plastria (Brussels) Cited in 3 Documents MSC: 52A10 Convex sets in \(2\) dimensions (including convex curves) 68U05 Computer graphics; computational geometry (digital and algorithmic aspects) Keywords:transversals; convex sets; arrangement of \(n\) disjoint circular disks PDFBibTeX XMLCite \textit{A. Bezdek}, in: Intuitive geometry. Proceedings of the 3rd international conference held in Szeged, Hungary, from 2 to 7 September, 1991. Amsterdam: North-Holland; Budapest: János Bolyai Mathemtical Society. 23--25 (1994; Zbl 0829.52002)