Conchoid curves and surfaces in Euclidean 3-Space

Abstract

In this study firstly, we study with conchoid curves in Euclidean plane E2. We calculate the curvature of the conchoid curve and give some results. Furthermore, we consider the surface of revolution given with the conchoid curve in Euclidean 3-space E3. The Gaussian and mean curvature is calculated of these surfaces. Also we give some examples and plot their graphics. Finally we study conchoidal surface in Euclidean 3-space. We give some results for the conchoidal surface to become flat and minimal. We give an example and plot the garphics of the conchoidal surfaces.