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On the Densest Packing of Polycylinders in Any Dimension
Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer US
2016
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791485/ https://www.ncbi.nlm.nih.gov/pubmed/27069293 http://dx.doi.org/10.1007/s00454-016-9766-6 |
| _version_ | 1782421099128029184 |
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| author | Kusner, Wöden |
| author_facet | Kusner, Wöden |
| author_sort | Kusner, Wöden |
| collection | PubMed |
| description | Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n. |
| format | Online Article Text |
| id | pubmed-4791485 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2016 |
| publisher | Springer US |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-47914852016-04-09 On the Densest Packing of Polycylinders in Any Dimension Kusner, Wöden Discrete Comput Geom Article Using transversality and a dimension reduction argument, a result of Bezdek and Kuperberg is applied to polycylinders, showing that the optimal packing density of [Formula: see text] equals [Formula: see text] for all natural numbers n. Springer US 2016-03-01 2016 /pmc/articles/PMC4791485/ /pubmed/27069293 http://dx.doi.org/10.1007/s00454-016-9766-6 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Article Kusner, Wöden On the Densest Packing of Polycylinders in Any Dimension |
| title | On the Densest Packing of Polycylinders in Any Dimension |
| title_full | On the Densest Packing of Polycylinders in Any Dimension |
| title_fullStr | On the Densest Packing of Polycylinders in Any Dimension |
| title_full_unstemmed | On the Densest Packing of Polycylinders in Any Dimension |
| title_short | On the Densest Packing of Polycylinders in Any Dimension |
| title_sort | on the densest packing of polycylinders in any dimension |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791485/ https://www.ncbi.nlm.nih.gov/pubmed/27069293 http://dx.doi.org/10.1007/s00454-016-9766-6 |
| work_keys_str_mv | AT kusnerwoden onthedensestpackingofpolycylindersinanydimension |