Embankment Surface According to Bishop Frame in Euclidean 3-Space

Abstract

This article is devoted to embankment, embankmentlike and tubembankmentlike surfaces determined by regular space curve according to Bishop frame in Euclidean 3−space. First, parametric equations of them are given. Then, quaternionic and matrix representations of them are given. Moreover, geometric properties of them are examined and given some theorems and conclusions. At the and of the
paper, some related examples with their figures drawed by Mathematica are given.