{"volume":32,"day":"29","page":"750 - 782","publication_identifier":{"issn":["08954801"]},"publication_status":"published","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Motivated by biological questions, we study configurations of equal spheres that neither pack nor cover. Placing their centers on a lattice, we define the soft density of the configuration by penalizing multiple overlaps. Considering the 1-parameter family of diagonally distorted 3-dimensional integer lattices, we show that the soft density is maximized at the FCC lattice."}],"article_processing_charge":"No","oa":1,"publisher":"Society for Industrial and Applied Mathematics ","project":[{"call_identifier":"FWF","grant_number":"I02979-N35","name":"Persistence and stability of geometric complexes","_id":"2561EBF4-B435-11E9-9278-68D0E5697425"}],"issue":"1","isi":1,"scopus_import":"1","publist_id":"7553","intvolume":"        32","article_type":"original","date_updated":"2023-09-13T09:34:38Z","department":[{"_id":"HeEd"}],"_id":"312","month":"03","external_id":{"isi":["000428958900038"]},"publication":"SIAM J Discrete Math","year":"2018","doi":"10.1137/16M1097201","type":"journal_article","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","main_file_link":[{"url":"http://pdfs.semanticscholar.org/d2d5/6da00fbc674e6a8b1bb9d857167e54200dc6.pdf","open_access":"1"}],"quality_controlled":"1","citation":{"ista":"Edelsbrunner H, Iglesias Ham M. 2018. On the optimality of the FCC lattice for soft sphere packing. SIAM J Discrete Math. 32(1), 750–782.","short":"H. Edelsbrunner, M. Iglesias Ham, SIAM J Discrete Math 32 (2018) 750–782.","ieee":"H. Edelsbrunner and M. Iglesias Ham, “On the optimality of the FCC lattice for soft sphere packing,” <i>SIAM J Discrete Math</i>, vol. 32, no. 1. Society for Industrial and Applied Mathematics , pp. 750–782, 2018.","chicago":"Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the FCC Lattice for Soft Sphere Packing.” <i>SIAM J Discrete Math</i>. Society for Industrial and Applied Mathematics , 2018. <a href=\"https://doi.org/10.1137/16M1097201\">https://doi.org/10.1137/16M1097201</a>.","mla":"Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the FCC Lattice for Soft Sphere Packing.” <i>SIAM J Discrete Math</i>, vol. 32, no. 1, Society for Industrial and Applied Mathematics , 2018, pp. 750–82, doi:<a href=\"https://doi.org/10.1137/16M1097201\">10.1137/16M1097201</a>.","ama":"Edelsbrunner H, Iglesias Ham M. On the optimality of the FCC lattice for soft sphere packing. <i>SIAM J Discrete Math</i>. 2018;32(1):750-782. doi:<a href=\"https://doi.org/10.1137/16M1097201\">10.1137/16M1097201</a>","apa":"Edelsbrunner, H., &#38; Iglesias Ham, M. (2018). On the optimality of the FCC lattice for soft sphere packing. <i>SIAM J Discrete Math</i>. Society for Industrial and Applied Mathematics . <a href=\"https://doi.org/10.1137/16M1097201\">https://doi.org/10.1137/16M1097201</a>"},"date_published":"2018-03-29T00:00:00Z","acknowledgement":"This work was partially supported by the DFG Collaborative Research Center TRR 109, “Discretization in Geometry and Dynamics,” through grant I02979-N35 of the Austrian Science Fund (FWF).","status":"public","date_created":"2018-12-11T11:45:46Z","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","last_name":"Edelsbrunner"},{"first_name":"Mabel","last_name":"Iglesias Ham","full_name":"Iglesias Ham, Mabel","id":"41B58C0C-F248-11E8-B48F-1D18A9856A87"}],"oa_version":"Submitted Version","title":"On the optimality of the FCC lattice for soft sphere packing"}