{"id":"https://openalex.org/W1965658954","doi":"https://doi.org/10.1137/1036012","title":"Probabilities for a Cuboctahedral Die","display_name":"Probabilities for a Cuboctahedral Die","publication_year":1994,"publication_date":"1994-03-01","ids":{"openalex":"https://openalex.org/W1965658954","doi":"https://doi.org/10.1137/1036012","mag":"1965658954"},"language":"en","primary_location":{"id":"doi:10.1137/1036012","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1036012","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/A5058937449","display_name":"David L. Powers","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David L. Powers","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058937449"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06621146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"1","first_page":"109","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9980000257492065,"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":0.9980000257492065,"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/T12170","display_name":"History and Theory of Mathematics","score":0.991100013256073,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/grossman","display_name":"Grossman","score":0.8383520841598511},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.43494102358818054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42507028579711914},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38104164600372314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37845683097839355},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3633779287338257},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.17040607333183289}],"concepts":[{"id":"https://openalex.org/C2780596892","wikidata":"https://www.wikidata.org/wiki/Q21493218","display_name":"Grossman","level":2,"score":0.8383520841598511},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.43494102358818054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42507028579711914},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38104164600372314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37845683097839355},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3633779287338257},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.17040607333183289},{"id":"https://openalex.org/C165556158","wikidata":"https://www.wikidata.org/wiki/Q83937","display_name":"Keynesian economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1036012","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1036012","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/W597057325","https://openalex.org/W2795664521","https://openalex.org/W2796491074","https://openalex.org/W4230602371"],"related_works":["https://openalex.org/W3176970147","https://openalex.org/W2113531592","https://openalex.org/W4250214955","https://openalex.org/W2105643820","https://openalex.org/W1942464854","https://openalex.org/W3164599658","https://openalex.org/W2410629996","https://openalex.org/W2058351615","https://openalex.org/W1786108403","https://openalex.org/W2065239241"],"abstract_inverted_index":{"Previous":[0,84],"article":[1,3,85,87],"Next":[2,86],"Probabilities":[4],"for":[5,47,66,106,122],"a":[6,48],"Cuboctahedral":[7],"DieDavid":[8],"L.":[9,11],"PowersDavid":[10],"Powershttps://doi.org/10.1137/1036012PDFBibTexSections":[12],"ToolsAdd":[13],"to":[14],"favoritesExport":[15],"CitationTrack":[16],"CitationsEmail":[17],"SectionsAbout[1]":[18],"G.":[19],"Grossman,":[20],"Problem":[21],"4461,":[22],"Amer.":[23],"Math.":[24,36,51],"Monthly,":[25],"60":[26],"(1953),":[27],"124\u2013126":[28],"CrossrefGoogle":[29,41,56],"Scholar[2]":[30],"F.":[31],"Budden,":[32],"Throwing":[33],"non-cubical":[34],"dice,":[35],"Gazette,":[37,52],"64":[38],"(1980),":[39],"196\u2013198":[40],"Scholar[3]":[42],"D.":[43],"Singmaster,":[44],"Theoretical":[45],"probabilities":[46],"cuboidal":[49],"die,":[50],"65":[53],"(1981),":[54],"208\u2013210":[55],"Scholar[4]":[57],"M.":[58],"S.":[59],"Klamkin,":[60],"Problems":[61],"in":[62],"applied":[63],"mathematics,":[64],"Society":[65,105],"Industrial":[67,107,123],"and":[68,108,124],"Applied":[69,109,125],"Mathematics":[70,126],"(SIAM),":[71],"Philadelphia,":[72],"PA,":[73],"1990,":[74],"478\u2013482,":[75],"Selections":[76],"from":[77],"SIAM":[78],"Review":[79,95],"92g:00034":[80],"0718.00001":[81],"Google":[82],"Scholar":[83],"FiguresRelatedReferencesCited":[88],"byDetails":[89],"Volume":[90],"36,":[91],"Issue":[92],"1|":[93],"1994SIAM":[94],"History":[96],"Published":[97],"online:17":[98],"February":[99],"2012":[100],"InformationCopyright":[101],"\u00a9":[102,104],"1994":[103],"MathematicsPDF":[110],"Download":[111],"Article":[112],"&":[113],"Publication":[114],"DataArticle":[115],"DOI:10.1137/1036012Article":[116],"page":[117],"range:pp.":[118],"109-111ISSN":[119],"(print):0036-1445ISSN":[120],"(online):1095-7200Publisher:Society":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}