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On a Relation Between Packing and Covering Densities of Convex Bodies
We show that a convex body admits a translative dense packing in [Formula: see text] if and only if it admits a translative economical covering.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer US
2019
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550240/ https://www.ncbi.nlm.nih.gov/pubmed/34720302 http://dx.doi.org/10.1007/s00454-019-00121-x |
| _version_ | 1784590918166249472 |
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| author | Prosanov, Roman |
| author_facet | Prosanov, Roman |
| author_sort | Prosanov, Roman |
| collection | PubMed |
| description | We show that a convex body admits a translative dense packing in [Formula: see text] if and only if it admits a translative economical covering. |
| format | Online Article Text |
| id | pubmed-8550240 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2019 |
| publisher | Springer US |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-85502402021-10-29 On a Relation Between Packing and Covering Densities of Convex Bodies Prosanov, Roman Discrete Comput Geom Article We show that a convex body admits a translative dense packing in [Formula: see text] if and only if it admits a translative economical covering. Springer US 2019-08-26 2021 /pmc/articles/PMC8550240/ /pubmed/34720302 http://dx.doi.org/10.1007/s00454-019-00121-x Text en © The Author(s) 2019 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/ (https://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 Prosanov, Roman On a Relation Between Packing and Covering Densities of Convex Bodies |
| title | On a Relation Between Packing and Covering Densities of Convex Bodies |
| title_full | On a Relation Between Packing and Covering Densities of Convex Bodies |
| title_fullStr | On a Relation Between Packing and Covering Densities of Convex Bodies |
| title_full_unstemmed | On a Relation Between Packing and Covering Densities of Convex Bodies |
| title_short | On a Relation Between Packing and Covering Densities of Convex Bodies |
| title_sort | on a relation between packing and covering densities of convex bodies |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550240/ https://www.ncbi.nlm.nih.gov/pubmed/34720302 http://dx.doi.org/10.1007/s00454-019-00121-x |
| work_keys_str_mv | AT prosanovroman onarelationbetweenpackingandcoveringdensitiesofconvexbodies |