Designing of surfaces on the basis of flat hexagonal 3-fabric

Abstract

Designing of surfaces on the basis of flat hexagonal 3-fabric

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

Incoming article date: 07.04.2015

Article is devoted to designing of surfaces on the basis of flat 3-fabrics.Such families 3 of lines which block some area of the plane so are called as flat 3 fabric that through each point of this plane passes 3 lines of different families. Functional determinants of this of 3 fabrics anywhere in area doesn't address in zero, two curves of various families have no more than one general point. 3-fabric used in our case is the hexagonal, i.e. consisting of families parallel straight lines. Each line of 3 families bears on itself information on parameters of lines of the modelled surface. On the basis of information which is born on itself by each straight line of three families, some surface is modelled.

Keywords: designing of modeling, computer graphics, modeling of surfaces,hexagonal 3-fabrics