{"id":"https://openalex.org/W7225467190","doi":"https://doi.org/10.5281/zenodo.24026564","title":"The sharp local centering gap for symmetric decagons","display_name":"The sharp local centering gap for symmetric decagons","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225467190","doi":"https://doi.org/10.5281/zenodo.24026564"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24026564","doi":"https://doi.org/10.5281/zenodo.24026564","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24026564","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24026564","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151851398","display_name":"Robert Barritz","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Barritz, Robert","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5151851398"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9785000085830688,"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":0.9785000085830688,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.008100000210106373,"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/T12504","display_name":"Mathematics and Applications","score":0.0035000001080334187,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decagon","display_name":"decagon","score":0.8370000123977661},{"id":"https://openalex.org/keywords/banach-mazur-distance","display_name":"Banach-Mazur distance","score":0.9430000185966492},{"id":"https://openalex.org/keywords/convex-geometry","display_name":"convex geometry","score":0.34299999475479126},{"id":"https://openalex.org/keywords/multiscale-analysis","display_name":"multiscale analysis","score":0.3490000069141388}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7907000184059143},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7085999846458435},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5856000185012817},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.49869999289512634},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4966000020503998},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4875999987125397},{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44850000739097595},{"id":"https://openalex.org/C13245926","wikidata":"https://www.wikidata.org/wiki/Q985704","display_name":"Horizontal line test","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3474000096321106},{"id":"https://openalex.org/C2779168147","wikidata":"https://www.wikidata.org/wiki/Q460711","display_name":"Checkerboard","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.3188000023365021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3075999915599823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28369998931884766}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24026564","doi":"https://doi.org/10.5281/zenodo.24026564","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24026564","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24026565","doi":"https://doi.org/10.5281/zenodo.24026565","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24026565","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24026564","doi":"https://doi.org/10.5281/zenodo.24026564","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24026564","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W7224103392","https://openalex.org/W7225042859","https://openalex.org/W7225374325"],"related_works":["https://openalex.org/W7225338183","https://openalex.org/W7225374325","https://openalex.org/W7225261061","https://openalex.org/W7225179953","https://openalex.org/W7225250823","https://openalex.org/W7225450171","https://openalex.org/W7225393153","https://openalex.org/W7225049635","https://openalex.org/W7224261058","https://openalex.org/W7224779461"],"abstract_inverted_index":{"For":[0],"origin-symmetric":[1],"planar":[2],"polygons":[3],"with":[4],"at":[5],"most":[6],"ten":[7],"actual":[8],"extreme":[9],"vertices,":[10],"the":[11,16,22,25,30,43,60,69,75,82,90],"sharp":[12],"local":[13,49],"coefficient":[14],"of":[15,24],"centering":[17],"gap":[18],"W(K)-V(K),":[19],"normalized":[20],"by":[21],"square":[23],"Banach-Mazur":[26],"distance":[27],"excess":[28],"from":[29],"affine-regular":[31],"hexagon,":[32],"is":[33,37,81,103],"1/4.":[34],"The":[35],"result":[36],"a":[38],"provisional":[39],"candidate":[40],"conditional":[41],"on":[42],"stated":[44],"hexagon":[45],"premises":[46],"and":[47,55],"identified":[48],"results.":[50],"A":[51],"labelled-vertex":[52],"limit":[53],"argument":[54],"full-body":[56],"containment":[57],"repair":[58],"give":[59],"upper":[61],"bound,":[62],"including":[63],"multiscale":[64],"approaches.":[65],"Genuine":[66],"decagons":[67],"provide":[68],"matching":[70],"iterated-limit":[71],"lower":[72],"bound.":[73],"With":[74],"earlier":[76],"all-body":[77,91],"sharpness":[78],"result,":[79],"twelve":[80],"minimum":[83],"polygon":[84],"vertex":[85],"count":[86],"that":[87],"can":[88],"approach":[89],"coefficient.":[92],"No":[93],"exact":[94],"unrestricted":[95],"minimum,":[96],"effective":[97],"neighborhood":[98],"or":[99],"complete":[100],"extremizer":[101],"classification":[102],"asserted.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}