2018•DergiPark (Istanbul University)Requires access

Smarandache Curves of Salkowski Curve According to Frenet Frame

Süleyman Şenyurt, Burak Öztürk

Open publisher page 4 citations

Abstract

In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated. These values are expressed depending upon theSalkowski curve.

About this research paper

What this paper is about

In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated. These values are expressed depending upon theSalkowski curve.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated. These values are expressed depending upon theSalkowski curve.

Key concepts: Frenet–Serret formulas, Torsion of a curve, Mathematics, Torsion (gastropod), Curvature, Mathematical analysis, Center of curvature, Geometry

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