Modified Roller Coaster Surface in Space

Abstract

In this paper, a new modified roller coaster surface according to a modified orthogonal frame is investigated in Euclidean 3-space. In this method, a new modified roller coaster surface is modeled. Both the Gaussian curvature and mean curvature of roller coaster surfaces are investigated. Subsequently, we obtain several characterizations in Euclidean 3-space.

Keywords

• modified orthogonal frame
• euclidean space
• roller coaster surfaces