{"id":"https://openalex.org/W2042166428","doi":"https://doi.org/10.1145/1940475.1940498","title":"Radius computation for an inscribed pentagon in Sanpou-Hakki (1690)","display_name":"Radius computation for an inscribed pentagon in Sanpou-Hakki (1690)","publication_year":2011,"publication_date":"2011-01-28","ids":{"openalex":"https://openalex.org/W2042166428","doi":"https://doi.org/10.1145/1940475.1940498","mag":"2042166428"},"language":"en","primary_location":{"id":"doi:10.1145/1940475.1940498","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1940475.1940498","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5077828321","display_name":"Shuichi Moritsugu","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shuichi Moritsugu","raw_affiliation_strings":["University of Tsukuba, Tsukuba-City, Ibaraki, Japan","University of Tsukuba, Tsukuba City, Ibaraki, Japan"],"affiliations":[{"raw_affiliation_string":"University of Tsukuba, Tsukuba-City, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"University of Tsukuba, Tsukuba City, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077828321"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":null,"apc_paid":null,"fwci":3.0341,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91367292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"44","issue":"3/4","first_page":"127","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12504","display_name":"Mathematics and Applications","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9695000052452087,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pentagon","display_name":"Pentagon","score":0.8698364496231079},{"id":"https://openalex.org/keywords/inscribed-figure","display_name":"Inscribed figure","score":0.6643591523170471},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5372716188430786},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4270440936088562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34016531705856323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33514896035194397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3017193675041199},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2609003782272339},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20374217629432678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10148307681083679}],"concepts":[{"id":"https://openalex.org/C2779965921","wikidata":"https://www.wikidata.org/wiki/Q127840","display_name":"Pentagon","level":2,"score":0.8698364496231079},{"id":"https://openalex.org/C44074806","wikidata":"https://www.wikidata.org/wiki/Q1066790","display_name":"Inscribed figure","level":2,"score":0.6643591523170471},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5372716188430786},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4270440936088562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34016531705856323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33514896035194397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3017193675041199},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2609003782272339},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20374217629432678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10148307681083679}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1940475.1940498","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1940475.1940498","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W161968226","https://openalex.org/W310811981","https://openalex.org/W1537556942","https://openalex.org/W2284178616"],"related_works":["https://openalex.org/W2334036188","https://openalex.org/W564118940","https://openalex.org/W2898265709","https://openalex.org/W4297810704","https://openalex.org/W1977422037","https://openalex.org/W2734369452","https://openalex.org/W1966473410","https://openalex.org/W2138862515","https://openalex.org/W453682054","https://openalex.org/W3217131804"],"abstract_inverted_index":{"No":[0],"abstract":[1],"available.":[2]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}