{"id":"https://openalex.org/W282228223","doi":null,"title":"Realizability of Polyhedra","display_name":"Realizability of Polyhedra","publication_year":1979,"publication_date":"1979-01-01","ids":{"openalex":"https://openalex.org/W282228223","mag":"282228223"},"language":"en","primary_location":{"id":"pmh:oai:dnet:upcommonspor::a9d7c6e41293a5be9772224c5d9014e9","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2099/527","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2099/527","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037618343","display_name":"Walter J. Whiteley","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Walter Whiteley","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037618343"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.7240999937057495,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.7240999937057495,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.07590000331401825,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.054999999701976776,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/spherical-polyhedra","display_name":"spherical polyhedra","score":0.7310000061988831},{"id":"https://openalex.org/keywords/truncation","display_name":"truncation","score":0.5320000052452087},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"tetrahedron","score":0.7960000038146973},{"id":"https://openalex.org/keywords/edge-graphs","display_name":"edge graphs","score":0.5649999976158142},{"id":"https://openalex.org/keywords/line-drawing","display_name":"line drawing","score":0.7419999837875366},{"id":"https://openalex.org/keywords/polyhedral-projection","display_name":"polyhedral projection","score":0.5960000157356262},{"id":"https://openalex.org/keywords/polyhedral-graphs","display_name":"polyhedral graphs","score":0.4659999907016754}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.9521821737289429},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.7748028039932251},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.6763445734977722},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6058980822563171},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5667546987533569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5547491312026978},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4390726685523987},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.41267648339271545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24862521886825562},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20952370762825012},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1402324140071869},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08883717656135559}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:dnet:upcommonspor::a9d7c6e41293a5be9772224c5d9014e9","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2099/527","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:upcommons.upc.edu:2099/527","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2099/527","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:282228223","doi":null,"is_oa":false,"landing_page_url":"https://www.iri.upc.edu/people/ros/StructuralTopology/ST1/st1-07-a4-ocr.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:dnet:upcommonspor::a9d7c6e41293a5be9772224c5d9014e9","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2099/527","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7112735411","https://openalex.org/W2963082085","https://openalex.org/W1885004160","https://openalex.org/W326597408","https://openalex.org/W1989799593","https://openalex.org/W2208317110","https://openalex.org/W983060877","https://openalex.org/W2067750936","https://openalex.org/W7103150138","https://openalex.org/W2030134304"],"abstract_inverted_index":{"We":[0],"address":[1],"ourselves":[2],"to":[3],"three":[4],"types":[5],"of":[6,12,17,22,65,74,93,101,104],"combinatorial":[7,27,31,95],"and":[8,20,48,114],"projective":[9],"problems,":[10],"all":[11],"which":[13],"concern":[14],"the":[15,71,75,80,90,99,102],"patterns":[16,35,52],"faces,":[18,43],"edges":[19,103],"vertices":[21],"polyhedra.":[23,33],"These":[24],"patterns,":[25],"as":[26],"structures,":[28],"we":[29],"call":[30],"oriented":[32],"Which":[34,56,85],"can":[36,50],"be":[37,53],"realized":[38],"in":[39,60,108],"space":[40,61],"with":[41],"plane":[42,86],"bent":[44],"along":[45],"every":[46],"edge,":[47],"how":[49],"these":[51],"generated":[54],"topologlcally?":[55],"polyhedra":[57],"are":[58,97,117],"constructed":[59],"by":[62],"a":[63,94,105],"series":[64],"single":[66],"or":[67],"double":[68],"truncations":[69],"on":[70],"smallest":[72],"polyhedron":[73,96,107],"type":[76],"(for":[77],"example":[78],"from":[79],"tetrahedron":[81],"for":[82],"spherical":[83],"polyhedra)?":[84],"line":[87],"drawings":[88],"portraying":[89],"edge":[91],"graph":[92],"actually":[98],"projection":[100],"plane-faced":[106],"space?":[109],"Wherever":[110],"possible":[111],"known":[112],"results":[113],"specific":[115],"conjectures":[116],"given.":[118]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
