Embankment surfaces according to the Bishop frame in Euclidean 3-space

This article is devoted to embankment, embankment-like and tubembankment-like surfaces determined by regular space curve according to the Bishop frame in Euclidean 3-space. First, parametric equations, quaternionic and matrix representations of them are given. Moreover, geometric properties of them are examined and some theorems and conclusions are obtained. At the end of the paper, the theory of the paper is supported by the examples and their illustrated figures are drawn by the programme Mathematica.