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On the Number of Cylinders Touching a Ball |
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| Authors: | Peter Braß Carola Wenk |
| Affiliation: | (1) Institute for Computer Science, FU Berlin, Takustrasse 9, D-14195 Berlin, Germany;(2) Institute for Computer Science, FU Berlin, Takustrasse 9, D-14195 Berlin, Germany |
| Abstract: | In this note we prove an upper bound of seven for the maximum number of unit cylinders touching a unit ball in a packing. This improves a previous bound of eight by Heppers and Szab. The value conjectured by Kuperberg in 1990 is six. |
| Keywords: | packing cylinder packing kissing number |
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