Modeling of 3 fabrics for the minimum surfaces

Abstract

Modeling of 3 fabrics for the minimum surfaces

Bel'chenko J.M., Shumun N.M.

Incoming article date: 04.11.2015

Article is devoted to a subject: in space some closed curve is set; among all possible surfaces passing through this curve to find such for which the part it concluded in a curve would have the smallest area. Curvature of any curve on a surface is equal in the set its point to curvature of flat section of a surface the adjoining curve plane.

Keywords: minimum surfaces, modeling, 3 fabric, curvature of a surface, equation of average curvature