The Conchoidal Twisted Surfaces Constructed by Anti-Symmetric Rotation Matrix in Euclidean 3-Space

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dc.authoridCELIK, Serkan/0000-0003-4737-4838
dc.contributor.authorCelik, Serkan
dc.contributor.authorKaradag, Haci Bayram
dc.contributor.authorSamanci, Hatice Kusak
dc.date.accessioned2024-08-04T20:54:28Z
dc.date.available2024-08-04T20:54:28Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractA twisted surface is a type of mathematical surface that has a nontrivial topology, meaning that it cannot be smoothly deformed into a flat surface without tearing or cutting. Twisted surfaces are often described as having a twisted or Mobius-like structure, which gives them their name. Twisted surfaces have many interesting mathematical properties and applications, and are studied in fields such as topology, geometry, and physics. In this study, a conchoidal twisted surface is formed by the synchronized anti-symmetric rotation matrix of a planar conchoidal curve in its support plane and this support plane is about an axis in Euclidean 3-space. In addition, some examples of the conchoidal twisted surface are given and the graphs of the surfaces are presented. The Gaussian and mean curvatures of this conchoidal twisted surface are calculated. Afterward, the conchoidal twisted surface formed by an involute curve and the conchoidal twisted surface formed by a Bertrand curve pair are given. Thanks to the results obtained in our study, we have added a new type of surface to the literature.en_US
dc.identifier.doi10.3390/sym15061191
dc.identifier.issn2073-8994
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85163740132en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym15061191
dc.identifier.urihttps://hdl.handle.net/11616/101438
dc.identifier.volume15en_US
dc.identifier.wosWOS:001015671700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectconchoidal curveen_US
dc.subjecttwisted surfacesen_US
dc.subjectinvolute curveen_US
dc.subjectBertrand curveen_US
dc.subjectanti-symmetric rotation matrixen_US
dc.titleThe Conchoidal Twisted Surfaces Constructed by Anti-Symmetric Rotation Matrix in Euclidean 3-Spaceen_US
dc.typeArticleen_US

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