On the number of cylinders touching a ball |
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| Authors: | Aladár Heppes László Szabó |
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| Affiliation: | (1) Vércse u. 24/a, H-1124 Budapest, Hungary;(2) Department of Geometry, Eötvös Loránd University, Rákóczi út 5, H-1088 Budapest, Hungary |
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| Abstract: | The following problem is due to W. Kuperberg. What is the maximum number of non-overlapping unit cylinders (a set in (mathbb{E}^3 ) consisting of points whose distance from some line does not exceed 1) that can be simultaneously tangent to a unit ball? In this paper we prove that this number is at most 8. It is conjectured that this number is 6. |
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