{"date_published":"2015-08-01T00:00:00Z","oa_version":"Submitted Version","page":"128-135","title":"Relaxed disk packing","project":[{"call_identifier":"FP7","grant_number":"318493","name":"Topological Complex Systems","_id":"255D761E-B435-11E9-9278-68D0E5697425"}],"scopus_import":1,"date_created":"2018-12-11T11:52:21Z","abstract":[{"text":"Motivated by biological questions, we study configurations of equal-sized disks in the Euclidean plane that neither pack nor cover. Measuring the quality by the probability that a random point lies in exactly one disk, we show that the regular hexagonal grid gives the maximum among lattice configurations. ","lang":"eng"}],"publisher":"Queen's University","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Edelsbrunner H, Iglesias Ham M, Kurlin V. 2015. Relaxed disk packing. Proceedings of the 27th Canadian Conference on Computational Geometry. CCCG: Canadian Conference on Computational Geometry vol. 2015–August, 128–135.","ieee":"H. Edelsbrunner, M. Iglesias Ham, and V. Kurlin, “Relaxed disk packing,” in Proceedings of the 27th Canadian Conference on Computational Geometry, Ontario, Canada, 2015, vol. 2015–August, pp. 128–135.","mla":"Edelsbrunner, Herbert, et al. “Relaxed Disk Packing.” Proceedings of the 27th Canadian Conference on Computational Geometry, vol. 2015–August, Queen’s University, 2015, pp. 128–35.","apa":"Edelsbrunner, H., Iglesias Ham, M., & Kurlin, V. (2015). Relaxed disk packing. In Proceedings of the 27th Canadian Conference on Computational Geometry (Vol. 2015–August, pp. 128–135). Ontario, Canada: Queen’s University.","chicago":"Edelsbrunner, Herbert, Mabel Iglesias Ham, and Vitaliy Kurlin. “Relaxed Disk Packing.” In Proceedings of the 27th Canadian Conference on Computational Geometry, 2015–August:128–35. Queen’s University, 2015.","ama":"Edelsbrunner H, Iglesias Ham M, Kurlin V. Relaxed disk packing. In: Proceedings of the 27th Canadian Conference on Computational Geometry. Vol 2015-August. Queen’s University; 2015:128-135.","short":"H. Edelsbrunner, M. Iglesias Ham, V. Kurlin, in:, Proceedings of the 27th Canadian Conference on Computational Geometry, Queen’s University, 2015, pp. 128–135."},"oa":1,"month":"08","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"},{"full_name":"Iglesias Ham, Mabel","id":"41B58C0C-F248-11E8-B48F-1D18A9856A87","first_name":"Mabel","last_name":"Iglesias Ham"},{"full_name":"Kurlin, Vitaliy","first_name":"Vitaliy","last_name":"Kurlin"}],"_id":"1495","language":[{"iso":"eng"}],"year":"2015","date_updated":"2021-01-12T06:51:09Z","day":"01","status":"public","publist_id":"5684","publication_status":"published","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1505.03402"}],"volume":"2015-August","conference":{"start_date":"2015-08-10","location":"Ontario, Canada","name":"CCCG: Canadian Conference on Computational Geometry","end_date":"2015-08-12"},"department":[{"_id":"HeEd"}],"type":"conference","ec_funded":1,"publication":"Proceedings of the 27th Canadian Conference on Computational Geometry"}