Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1398
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dc.contributor.authorMilojković, Daraen_US
dc.contributor.authorMarinković, Vesnaen_US
dc.date.accessioned2024-12-11T13:20:40Z-
dc.date.available2024-12-11T13:20:40Z-
dc.date.issued2024-
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/1398-
dc.description.abstractIn this paper, trisection of an angle performed by origami is explained in detail, as well as the correctness of obtained construction. Two different correctness conjectures, one based on trigonometry identities for triple angle and another, based on triangle congruence are formulated. All geometric constraints appearing in premises and conclusion of the conjecture are formulated as polynomials over the set of appropriately chosen variables, and the correctness conjectures are proved using Gröbner basis method. For performing calculations over polynomials obtained, the computer tool Singular is used.en_US
dc.language.isoenen_US
dc.publisherBeograd : Društvo matematičara Srbijeen_US
dc.relation.ispartofTeaching of Mathematicsen_US
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.subjectOrigami constructionsen_US
dc.subjectangle trisectionen_US
dc.subjectGröbner basis methoden_US
dc.subjectSingular (computer tool)en_US
dc.titleAngle trisection with origami and proving its correctness using Gröbner basisen_US
dc.typeTexten_US
dc.identifier.doi10.57016/TM-UZPZ2356-
dc.contributor.affiliationInformatics and Computer Scienceen_US
dc.relation.issn1451-4966en_US
dc.relation.firstpage59en_US
dc.relation.lastpage78en_US
dc.relation.volume27en_US
dc.relation.issue2en_US
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.openairetypeText-
crisitem.author.deptInformatics and Computer Science-
crisitem.author.orcid0009-0006-6456-9329-
crisitem.author.orcid0000−0003−0526−899X-
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