Strophoidal Surfaces

Abstract

The mathematicians for centuries have researched the surfaces theory. In this paper, we consider strophoidal surface in three dimensional Euclidean space E^3. We present notations of a Euclidean geometry. In addition, stating a helicoidal surface, we define strophoidal surface, and calculate its Gauss map, Gaussian curvature, mean curvature. Finally, we give some relations of the Gaussian curvature and the mean curvature of that kind surfaces.