Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter

Abstract. In this paper, parametric polynomial minimal surfaces of degree six with isothermal parameter are discussed. We firstly propose the sufficient and necessary condition of a harmonic polynomial parametric surface of degree six being a minimal surface. Then we obtain two kinds of new minimal surfaces from the condition. The new minimal surfaces have similar properties as Enneper's minimal surface, such as symmetry, self-intersection and containing straight lines. A new pair of conjugate minimal surfaces is also discovered in this paper. The new minimal surfaces can be represented by tensor product B

• Type: Conference
• Year: 2008
• Where: GMP
• Authors: Gang Xu, Guozhao Wang
• Keywords: GMP 2008, Minimal Surface, Parametric Polynomial Minimal, Solid Modeling, Surfaces