{"id":"https://openalex.org/W1842287549","doi":"https://doi.org/10.1109/tc.1976.1674642","title":"Distance on a Hexagonal Grid","display_name":"Distance on a Hexagonal Grid","publication_year":1976,"publication_date":"1976-05-01","ids":{"openalex":"https://openalex.org/W1842287549","doi":"https://doi.org/10.1109/tc.1976.1674642","mag":"1842287549"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1976.1674642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674642","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5097359810","display_name":"Luczak","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luczak","raw_affiliation_strings":["Computer Science Center, University of Maryland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Center, University of Maryland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057499663","display_name":"Rosenfeld","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rosenfeld","raw_affiliation_strings":["Computer Science Center, University of Maryland, College Park, MD, USA","Computer Sci. Center, Univ. of Maryland, College Park, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Center, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Computer Sci. Center, Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7227,"has_fulltext":false,"cited_by_count":139,"citation_normalized_percentile":{"value":0.83039058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"C-25","issue":"5","first_page":"532","last_page":"533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9623000025749207,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.5963706970214844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5127149820327759},{"id":"https://openalex.org/keywords/hexagonal-tiling","display_name":"Hexagonal tiling","score":0.466872900724411},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39004582166671753},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.36074477434158325},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.192209392786026},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.13785186409950256}],"concepts":[{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.5963706970214844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5127149820327759},{"id":"https://openalex.org/C35908053","wikidata":"https://www.wikidata.org/wiki/Q3063631","display_name":"Hexagonal tiling","level":3,"score":0.466872900724411},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39004582166671753},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.36074477434158325},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.192209392786026},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13785186409950256}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1976.1674642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674642","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1975048877","https://openalex.org/W1988501608","https://openalex.org/W1996342882","https://openalex.org/W2070792131","https://openalex.org/W2150464846","https://openalex.org/W3035958525","https://openalex.org/W4297695751","https://openalex.org/W6842777587"],"related_works":["https://openalex.org/W4281897132","https://openalex.org/W2150084405","https://openalex.org/W3128949433","https://openalex.org/W2075605355","https://openalex.org/W2021874296","https://openalex.org/W2139458733","https://openalex.org/W1986012436","https://openalex.org/W1519459038","https://openalex.org/W2354145152","https://openalex.org/W2964566162"],"abstract_inverted_index":{"A":[0],"simple":[1],"formula":[2],"is":[3],"derived":[4],"for":[5],"the":[6],"distance":[7],"between":[8],"two":[9],"points":[10],"on":[11],"a":[12,22],"hexagonal":[13],"grid,":[14],"in":[15],"terms":[16],"of":[17,24],"coordinates":[18],"with":[19],"respect":[20],"to":[21],"pair":[23],"oblique":[25],"axes.":[26]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":14}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
