The Pedal Curves Generated by Alternative Frame Vectors and Their Smarandache Curves

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dc.authoridSENYURT, Suleyman/0000-0003-1097-5541
dc.authoridGrilli, Luca/0000-0003-0931-2054
dc.contributor.authorCanli, Davut
dc.contributor.authorSenyurt, Suleyman
dc.contributor.authorKaya, Filiz Ertem
dc.contributor.authorGrilli, Luca
dc.date.accessioned2024-11-07T13:34:49Z
dc.date.available2024-11-07T13:34:49Z
dc.date.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this paper, pedal-like curves are defined resulting from the orthogonal projection of a fixed point on the alternative frame vectors of a given regular curve. For each pedal curve, the Frenet vectors, the curvature and the torsion functions are found to provide the common relations among the main curve and its pedal curves. Then, Smarandache curves are defined by using the alternative frame vectors of each pedal curve as position vectors. The relations of the Frenet apparatus are also established for the pedal curves and their corresponding Smarandache curves. Finally, the expressions of the alternative frame apparatus of each Smarandache curves are given in terms of the alternative frame elements of the pedal curves. Thus, a set of new symmetric curves are introduced that contribute to the vast curve family.
dc.identifier.doi10.3390/sym16081012
dc.identifier.issn2073-8994
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85202538423
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.3390/sym16081012
dc.identifier.urihttps://hdl.handle.net/11480/16167
dc.identifier.volume16
dc.identifier.wosWOS:001307558000001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectpedal curve
dc.subjectalternative frame
dc.subjectSmarandache curve
dc.titleThe Pedal Curves Generated by Alternative Frame Vectors and Their Smarandache Curves
dc.typeArticle

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