{"id":"https://openalex.org/W55583714","doi":"https://doi.org/10.1007/978-3-642-24983-9_1","title":"Determination of All Tessellation Polyhedra with Regular Polygonal Faces","display_name":"Determination of All Tessellation Polyhedra with Regular Polygonal Faces","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W55583714","doi":"https://doi.org/10.1007/978-3-642-24983-9_1","mag":"55583714"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-24983-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-24983-9_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5005795132","display_name":"Jin Akiyama","orcid":"https://orcid.org/0000-0002-0047-6717"},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]},{"id":"https://openalex.org/I4210101116","display_name":"Kai Research (United States)","ror":"https://ror.org/015nmh932","country_code":"US","type":"company","lineage":["https://openalex.org/I4210101116"]}],"countries":["JP","US"],"is_corresponding":true,"raw_author_name":"Jin Akiyama","raw_affiliation_strings":["Research Institute of Education, Tokai University, 2-28-4 Tomigaya, Tokio, Shibuya-ku, Japan","Tokai University, Japan"],"affiliations":[{"raw_affiliation_string":"Research Institute of Education, Tokai University, 2-28-4 Tomigaya, Tokio, Shibuya-ku, Japan","institution_ids":["https://openalex.org/I1314466530","https://openalex.org/I4210101116"]},{"raw_affiliation_string":"Tokai University, Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009967496","display_name":"Takayasu Kuwata","orcid":null},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takayasu Kuwata","raw_affiliation_strings":["Tokai University, Japan"],"affiliations":[{"raw_affiliation_string":"Tokai University, Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072214666","display_name":"Stefan Langerman","orcid":"https://orcid.org/0000-0001-6999-3088"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Stefan Langerman","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109944661","display_name":"Kenji Okawa","orcid":null},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenji Okawa","raw_affiliation_strings":["Tokai University, Japan"],"affiliations":[{"raw_affiliation_string":"Tokai University, Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068647108","display_name":"Ikuro Sato","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107389","display_name":"Miyagi Prefectural Hospital Organization","ror":"https://ror.org/01qt7mp11","country_code":"JP","type":"healthcare","lineage":["https://openalex.org/I4210107389"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ikuro Sato","raw_affiliation_strings":["Miyagi Cancer Center, Japan"],"affiliations":[{"raw_affiliation_string":"Miyagi Cancer Center, Japan","institution_ids":["https://openalex.org/I4210107389"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054192290","display_name":"G. C. Shephard","orcid":null},"institutions":[{"id":"https://openalex.org/I1118541","display_name":"University of East Anglia","ror":"https://ror.org/026k5mg93","country_code":"GB","type":"education","lineage":["https://openalex.org/I1118541"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Geoffrey C. Shephard","raw_affiliation_strings":["University of East Anglia, UK"],"affiliations":[{"raw_affiliation_string":"University of East Anglia, UK","institution_ids":["https://openalex.org/I1118541"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5005795132"],"corresponding_institution_ids":["https://openalex.org/I1314466530","https://openalex.org/I4210101116"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.769,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89098532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9914000034332275,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9914000034332275,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.9771422743797302},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.8440431356430054},{"id":"https://openalex.org/keywords/tile","display_name":"Tile","score":0.720198392868042},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7012068033218384},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6954487562179565},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5714753866195679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.55936598777771},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5024416446685791},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2821767032146454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28114229440689087},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24356737732887268},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.11505293846130371},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07197827100753784},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.05407261848449707}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.9771422743797302},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.8440431356430054},{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.720198392868042},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7012068033218384},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6954487562179565},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5714753866195679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.55936598777771},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5024416446685791},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2821767032146454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28114229440689087},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24356737732887268},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.11505293846130371},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07197827100753784},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.05407261848449707},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-24983-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-24983-9_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/169115","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/169115","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture notes in computer science, 7033 LNCS","raw_type":"info:ulb-repo/semantics/openurl/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/W570292705","https://openalex.org/W1589331344","https://openalex.org/W2057761151","https://openalex.org/W4247658326"],"related_works":["https://openalex.org/W55583714","https://openalex.org/W2224170783","https://openalex.org/W2808652614","https://openalex.org/W2090108124","https://openalex.org/W4248823117","https://openalex.org/W962531645","https://openalex.org/W4233739351","https://openalex.org/W4253768669","https://openalex.org/W2004058166","https://openalex.org/W2030718493"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
