{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,15]],"date-time":"2025-10-15T18:08:44Z","timestamp":1760551724808},"reference-count":20,"publisher":"Informa UK Limited","issue":"2","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2024,4,2]]},"DOI":"10.1080\/10586458.2022.2061651","type":"journal-article","created":{"date-parts":[[2022,5,20]],"date-time":"2022-05-20T06:32:35Z","timestamp":1653028355000},"page":"235-246","update-policy":"http:\/\/dx.doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":4,"title":["Density of Binary Disc Packings: Lower and Upper Bounds"],"prefix":"10.1080","volume":"33","author":[{"given":"Thomas","family":"Fernique","sequence":"first","affiliation":[{"name":"LIPN, Univ. Paris Nord & CNRS, Villetaneuse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2022,5,19]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-021-00348-7"},{"key":"e_1_3_2_3_1","first-page":"145","article-title":"\u00dcber Unterdeckungen der Ebene durch Kreise","volume":"236","author":"Blind G.","year":"1969","unstructured":"Blind, G. (1969). \u00dcber Unterdeckungen der Ebene durch Kreise. J. f\u00fcr die Reine Angew. Math. 236:145\u2013173.","journal-title":"J. f\u00fcr die Reine Angew. Math"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-020-00242-8"},{"key":"e_1_3_2_5_1","article-title":"Maximally dense disc packings on the plane","author":"Connelly R.","year":"2019","unstructured":"Connelly, R., Pierre, M. (2019). Maximally dense disc packings on the plane. preprint, arXiv:1907.03652.","journal-title":"preprint, arXiv:1907.03652"},{"key":"e_1_3_2_6_1","article-title":"A Simple proof of Thue\u2019s theorem on circle packing","author":"Chang H.-C.","year":"2010","unstructured":"Chang, H.-C., Wang, L.-C. (2010). A Simple proof of Thue\u2019s theorem on circle packing. preprint, arXiv:1009.4322.","journal-title":"preprint, arXiv:1009.4322"},{"key":"e_1_3_2_7_1","unstructured":"The Sage Developers. (2019). Sage Mathematics Software (Version 8.6). http:\/\/www.sagemath.org."},{"key":"e_1_3_2_8_1","article-title":"A Densest ternary circle packing in the plane","author":"Fernique T.","year":"2019","unstructured":"Fernique, T. (2019). A Densest ternary circle packing in the plane. preprint, arXiv:1912.02297.","journal-title":"preprint, arXiv:1912.02297"},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0008230"},{"key":"e_1_3_2_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02851249"},{"key":"e_1_3_2_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01180035"},{"key":"e_1_3_2_12_1","volume-title":"Regular Figures. International Series in Monographs on Pure and Applied Mathematics","author":"Fejes T\u00f3th L.","year":"1964","unstructured":"Fejes T\u00f3th, L. (1964). Regular Figures. International Series in Monographs on Pure and Applied Mathematics. Oxford: Pergamon."},{"key":"e_1_3_2_13_1","doi-asserted-by":"publisher","DOI":"10.1002\/mana.19580180127"},{"key":"e_1_3_2_14_1","first-page":"433","article-title":"On the densest packing of discs of radius 1 and","volume":"36","author":"Heppes A.","year":"2000","unstructured":"Heppes, A. (2000). On the densest packing of discs of radius 1 and 2\u22121. Studia Sci. Math. Hungarica 36:433\u2013454.","journal-title":"Studia Sci. Math. Hungarica"},{"key":"e_1_3_2_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-003-0007-6"},{"key":"e_1_3_2_16_1","unstructured":"Kennedy T. (2004). https:\/\/www.math.arizona.edu\/tgk\/pack_two_discs\/density.html. Accessed: 2021-08-09."},{"key":"e_1_3_2_17_1","article-title":"A Densest compact planar packing with two sizes of discs","author":"Kennedy T.","year":"2004","unstructured":"Kennedy, T. (2004). A Densest compact planar packing with two sizes of discs. preprint, arXiv:0412418.","journal-title":"preprint, arXiv:0412418"},{"key":"e_1_3_2_18_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-005-1172-4"},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-001-0060-9"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1021\/jacs.5b03234"},{"key":"e_1_3_2_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2004.05.082"}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2022.2061651","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T11:27:47Z","timestamp":1717586867000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2022.2061651"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,19]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,4,2]]}},"alternative-id":["10.1080\/10586458.2022.2061651"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2022.2061651","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"value":"1058-6458","type":"print"},{"value":"1944-950X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,19]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2022-05-19","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}