Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral

Abstract

The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness. The Vrănceanu surface, with c1 a logarithmic spiral, is also considered.

Keywords

• gauss curvature
• mean curvature
• flat surface
• minimal surface