{"id":"https://openalex.org/W2159376961","doi":"https://doi.org/10.1007/bf02187800","title":"Double-lattice packings of convex bodies in the plane","display_name":"Double-lattice packings of convex bodies in the plane","publication_year":1990,"publication_date":"1990-08-01","ids":{"openalex":"https://openalex.org/W2159376961","doi":"https://doi.org/10.1007/bf02187800","mag":"2159376961"},"language":"en","primary_location":{"id":"doi:10.1007/bf02187800","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187800","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187800.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/BF02187800.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031305513","display_name":"Greg Kuperberg","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Kuperberg","raw_affiliation_strings":["Department of Mathematics, University of California at Berkeley, 94720, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Berkeley, 94720, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089421531","display_name":"W. Kuperberg","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Kuperberg","raw_affiliation_strings":["Division of Mathematics, Auburn University, 36849, Auburn, AL, USA"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics, Auburn University, 36849, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031305513"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.493,"has_fulltext":true,"cited_by_count":75,"citation_normalized_percentile":{"value":0.93266219,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"5","issue":"4","first_page":"389","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11310","display_name":"Connective tissue disorders research","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10661","display_name":"biodegradable polymer synthesis and properties","score":0.9423999786376953,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7708020806312561},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7571513652801514},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7133157253265381},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6296220421791077},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6119971871376038},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6004700064659119},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.43434202671051025},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.28085458278656006},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26857706904411316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11198773980140686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04891893267631531}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7708020806312561},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7571513652801514},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7133157253265381},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6296220421791077},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6119971871376038},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6004700064659119},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.43434202671051025},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.28085458278656006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26857706904411316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11198773980140686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04891893267631531},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02187800","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187800","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187800.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/bf02187800","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187800","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187800.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7200000286102295,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2159376961.pdf","grobid_xml":"https://content.openalex.org/works/W2159376961.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W239990970","https://openalex.org/W1589055062","https://openalex.org/W1969165241","https://openalex.org/W1969490625","https://openalex.org/W1985283515","https://openalex.org/W1995020932","https://openalex.org/W2034847947","https://openalex.org/W4240853087","https://openalex.org/W4253421894"],"related_works":["https://openalex.org/W2111427182","https://openalex.org/W4300856049","https://openalex.org/W1427726556","https://openalex.org/W2044260792","https://openalex.org/W1567905937","https://openalex.org/W1763880239","https://openalex.org/W4378499037","https://openalex.org/W4298882433","https://openalex.org/W2020316116","https://openalex.org/W1966578465"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}